Scalping, Swing Pro: Urban Towers + Bollinger(0.5)+ WMA by KidevThis indicator combines narrow Bollinger Bands (σ = 0.5) with a Weighted Moving Average (WMA-96) to provide traders with a reliable framework for identifying both short-term scalps and medium-term swing setups.
Bollinger Bands (0.5σ):
Traditional Bollinger Bands at 2σ cover ~95% of price movement, while 0.5σ bands narrow the focus to ~50% of price activity. This tighter structure makes them ideal for detecting volatility contractions, consolidations, and early breakout signals.
WMA-96 as Trend Reference:
The 96-period WMA acts as a slower, more stable directional guide. Unlike shorter WMAs, this longer setting filters noise and serves as a reference line for the dominant trend. Traders can use it as an anchor for intraday or swing positions.
Scalping & Swing Benefits:
Price holding above the WMA-96 while staying near the upper 0.5σ band often signals strength.
Contractions (squeezes) in the 0.5σ band followed by expansion frequently mark breakout zones.
Pullbacks toward the WMA-96 combined with band signals can act as re-entry or risk-defined trade areas.
This script provides a balanced view of momentum and stability — the 0.5σ bands reveal short-term volatility shifts, while the WMA-96 grounds the trader in the prevailing trend.
Search in scripts for "通达信+选股公式+换手率+0.5+源码"
Horizontal Lines 0.5, BY ROSHAN SINGHThis indicator identify support and resistance to trade in 1min time frame, based of fib 0.5 level, on 15 min time frame find major high and low means major swing, low will be our start level and high will be our end level input in setting, substract high and end level and now divide answer with 2 till the daily volatility of a index or stock, if saying about nifty suppose nifty daily travel minimum for 65 pts then interval will be 65 input in settings, now all horizontals lines means support and level will be plotted on chart, buy on support, sell on resistance
ADR in 0.5 / 1 / 3 / 5top of the morning!
This indicator is a tiny bit different then the previous one i published.
As per my little study into the ATR, i have decided to remove it out of my indicator and instead put in a half an ADR in dollar vallue.
For me, i can use this value to check at what level i would like my stop. The next evolvement of this indicator might be a total new one since i'd be one for a lower timeframe with the 0.5 and 0.3 adr down from current high otd.
Hope you enjoy it,
Peace
Harmonic Pattern Detector (75 patterns)Harmonic Pattern Detector offers a record amount of "Harmonic Patterns" in one script, with 75 different patterns detected, together with up to 99 different swing lengths.
🔶 USAGE
Harmonic Patterns are detected from several different ZigZag lines, derived from Swings with different lengths (shorter - longer term)
Depending on the settings ' Minimum/Maximum Swing Length ', the user will see more or less patterns from shorter and/or longer-term swing points.
🔹 Fibonacci Ratio
Certain patterns have only one ratio for a specific retrace/extension instead of one upper and one lower limit. In this case, we add a ' Tolerance ', which adds a percentage tolerance below/above the ratio, creating two limits.
A higher number may show more patterns but may become less valid.
Hoovering over points B, C, and D will show a tooltip with the concerning limits; adjusted limits will be seen if applicable.
Tooltips in settings will also show which patterns the Fibonacci Ratio applies to.
🔹 Triangle Area Ratio
Using Heron's formula , the triangle area is calculated after the X-Y axis is normalized.
Users can filter patterns based on the ratio of the smallest triangle to the largest triangle.
A lower Triangle Area Ratio number leads to more symmetrical patterns but may appear less frequently.
🔶 DETAILS
Harmonic patterns are based on geometric patterns, where the retracement/extension of a swing point must be located between specific Fibonacci ratios of the previous swing/leg. Different Harmonic Patterns require unique ratios to become valid patterns.
In the above example there is a valid 'Max Butterfly' pattern where:
Point B is located between 0.618 - 0.886 retracement level of the X-A leg
Point C is located between 0.382 - 0.886 retracement level of the A-B leg
Point D is located between 1.272 - 2.618 extension level of the B-C leg
Point D is located between 1.272 - 1.618 extension level of the X-A leg
Harmonic Pattern Detector uses ZigZag lines, where swing highs and swing lows alternate. Each ZigZag line is checked for valid Harmonic Patterns . When multiple types of Harmonic Patterns are valid for the same sequence, the pattern will be named after the first one found.
Different swing lengths form different ZigZag lines.
By evaluating different ZigZag lines (up to 99!), shorter—and longer-term patterns can be drawn on the same chart.
🔹 Blocks
The patterns are organized into blocks that can be toggled on or off with a single click.
When a block is enabled, the user can still select which specific patterns within that block are enabled or disabled.
🔹 Visuals
Besides color settings, labels can show pattern names or arrows at point D of the pattern.
Note this will happen 1 bar after validation because one extra bar is needed for confirmation.
An option is included to show only arrows without the patterns.
🔹 Updated Patterns
When a Swing Low is followed by a lower low or a Swing High followed by a higher high , triggering a pattern identical to a previous one except with a different point D, the pattern will be updated. The previous C-D line will be visible as a dashed line to highlight the event. Only the last dashed line is shown when this happens more than once.
🔹 Optimization
The script only verifies the last leg in the initial phase, significantly reducing the time spent on pattern validation. If this leg doesn't align with a potential Harmonic Pattern , the pattern is immediately disregarded. In the subsequent phase, the remaining patterns are quickly scrutinized to ensure the next leg is valid. This efficient process continues, with only valid patterns progressing to the next phase until all sequences have been thoroughly examined.
This process can check up to 99 ZigZag lines for 75 different Harmonic Patterns , showcasing its high capacity and versatility.
🔹 Ratios
The following table shows the different ratios used for each Harmonic Pattern .
' min ' and ' max ' are used when only one limit is provided instead of 2. This limit is given a percentage tolerance above and below, customizable by the setting ' Tolerance - Fibonacci Ratio '.
For example a ratio of 0.618 with a tolerance of 1% would result in:
an upper limit of 0.624
a lower limit of 0.612
|-------------------|------------------------|------------------------|-----------------------|-----------------------|
| NAME PATTERN | BCD (BD) | ABC (AC) | XAB (XB) | XAD (XD) |
| | min max | min max | min max | min max |
|-------------------|------------------------|------------------------|-----------------------|-----------------------|
| 'ABCD' | 1.272 - 1.618 | 0.618 - 0.786 | | |
| '5-0' | 0.5 *min - 0.5 *max | 1.618 - 2.24 | 1.13 - 1.618 | |
| 'Max Gartley' | 1.128 - 2.236 | 0.382 - 0.886 | 0.382 - 0.618 | 0.618 - 0.786 |
| 'Gartley' | 1.272 - 1.618 | 0.382 - 0.886 | 0.618*min - 0.618*max | 0.786*min - 0.786*max |
| 'A Gartley' | 1.618*min - 1.618*max | 1.128 - 2.618 | 0.618 - 0.786 | 1.272*min - 1.272*max |
| 'NN Gartley' | 1.128 - 1.618 | 0.382 - 0.886 | 0.618*min - 0.618*max | 0.786*min - 0.786*max |
| 'NN A Gartley' | 1.618*min - 1.618*max | 1.128 - 2.618 | 0.618 - 0.786 | 1.272*min - 1.272*max |
| 'Bat' | 1.618 - 2.618 | 0.382 - 0.886 | 0.382 - 0.5 | 0.886*min - 0.886*max |
| 'Alt Bat' | 2.0 - 3.618 | 0.382 - 0.886 | 0.382*min - 0.382*max | 1.128*min - 1.128*max |
| 'A Bat' | 2.0 - 2.618 | 1.128 - 2.618 | 0.382 - 0.618 | 1.128*min - 1.128*max |
| 'Max Bat' | 1.272 - 2.618 | 0.382 - 0.886 | 0.382 - 0.618 | 0.886*min - 0.886*max |
| 'NN Bat' | 1.618 - 2.618 | 0.382 - 0.886 | 0.382 - 0.5 | 0.886*min - 0.886*max |
| 'NN Alt Bat' | 2.0 - 4.236 | 0.382 - 0.886 | 0.382*min - 0.382*max | 1.128*min - 1.128*max |
| 'NN A Bat' | 2.0 - 2.618 | 1.128 - 2.618 | 0.382 - 0.618 | 1.128*min - 1.128*max |
| 'NN A Alt Bat' | 2.618*min - 2.618*max | 1.128 - 2.618 | 0.236 - 0.5 | 0.886*min - 0.886*max |
| 'Butterfly' | 1.618 - 2.618 | 0.382 - 0.886 | 0.786*min - 0.786*max | 1.272 - 1.618 |
| 'Max Butterfly' | 1.272 - 2.618 | 0.382 - 0.886 | 0.618 - 0.886 | 1.272 - 1.618 |
| 'Butterfly 113' | 1.128 - 1.618 | 0.618 - 1.0 | 0.786 - 1.0 | 1.128*min - 1.128*max |
| 'A Butterfly' | 1.272*min - 1.272*max | 1.128 - 2.618 | 0.382 - 0.618 | 0.618 - 0.786 |
| 'Crab' | 2.24 - 3.618 | 0.382 - 0.886 | 0.382 - 0.618 | 1.618*min - 1.618*max |
| 'Deep Crab' | 2.618 - 3.618 | 0.382 - 0.886 | 0.886*min - 0.886*max | 1.618*min - 1.618*max |
| 'A Crab' | 1.618 - 2.618 | 1.128 - 2.618 | 0.276 - 0.446 | 0.618*min - 0.618*max |
| 'NN Crab' | 2.236 - 4.236 | 0.382 - 0.886 | 0.382 - 0.618 | 1.618*min - 1.618*max |
| 'NN Deep Crab' | 2.618 - 4.236 | 0.382 - 0.886 | 0.886*min - 0.886*max | 1.618*min - 1.618*max |
| 'NN A Crab' | 1.128 - 2.618 | 1.128 - 2.618 | 0.236 - 0.447 | 0.618*min - 0.618*max |
| 'NN A Deep Crab' | 1.128*min - 1.128*max | 1.128 - 2.618 | 0.236 - 0.382 | 0.618*min - 0.618*max |
| 'Cypher' | 1.272 - 2.00 | 1.13 - 1.414 | 0.382 - 0.618 | 0.786*min - 0.786*max |
| 'New Cypher' | 1.272 - 2.00 | 1.414 - 2.14 | 0.382 - 0.618 | 0.786*min - 0.786*max |
| 'Anti New Cypher' | 1.618 - 2.618 | 0.467 - 0.707 | 0.5 - 0.786 | 1.272*min - 1.272*max |
| 'Shark 1' | 1.618 - 2.236 | 1.128 - 1.618 | 0.382 - 0.618 | 0.886*min - 0.886*max |
| 'Shark 1 Alt' | 1.618 - 2.618 | 0.618 - 0.886 | 0.446 - 0.618 | 1.128*min - 1.128*max |
| 'Shark 2' | 1.618 - 2.236 | 1.128 - 1.618 | 0.382 - 0.618 | 1.128*min - 1.128*max |
| 'Shark 2 Alt' | 1.618 - 2.618 | 0.618 - 0.886 | 0.446 - 0.618 | 0.886*min - 0.886*max |
| 'Leonardo' | 1.128 - 2.618 | 0.382 - 0.886 | 0.5*min - 0.5*max | 0.786*min - 0.786*max |
| 'NN A Leonardo' | 2.0*min - 2.0*max | 1.128 - 2.618 | 0.382 - 0.886 | 1.272*min - 1.272*max |
| 'Nen Star' | 1.272 - 2.0 | 1.414 - 2.14 | 0.382 - 0.618 | 1.272*min - 1.272*max |
| 'Anti Nen Star' | 1.618 - 2.618 | 0.467 - 0.707 | 0.5 - 0.786 | 0.786*min - 0.786*max |
| '3 Drives' | 1.272 - 1.618 | 0.618 - 0.786 | 1.272 - 1.618 | 1.618 - 2.618 |
| 'A 3 Drives' | 0.618 - 0.786 | 1.272 - 1.618 | 0.618 - 0.786 | 0.13 - 0.886 |
| '121' | 0.382 - 0.786 | 1.128 - 3.618 | 0.5 - 0.786 | 0.382 - 0.786 |
| 'A 121' | 1.272 - 2.0 | 0.5 - 0.786 | 1.272 - 2.0 | 1.272 - 2.618 |
| '121 BG' | 0.618 - 0.707 | 1.128 - 1.733 | 0.5 - 0.577 | 0.447 - 0.786 |
| 'Black Swan' | 1.128 - 2.0 | 0.236 - 0.5 | 1.382 - 2.618 | 1.128 - 2.618 |
| 'White Swan' | 0.5 - 0.886 | 2.0 - 4.237 | 0.382 - 0.786 | 0.238 - 0.886 |
| 'NN White Swan' | 0.5 - 0.886 | 2.0 - 4.236 | 0.382 - 0.724 | 0.382 - 0.886 |
| 'Sea Pony' | 1.618 - 2.618 | 0.382 - 0.5 | 0.128 - 3.618 | 0.618 - 3.618 |
| 'Navarro 200' | 0.886 - 3.618 | 0.886 - 1.128 | 0.382 - 0.786 | 0.886 - 1.128 |
| 'May-00' | 0.5 - 0.618 | 1.618 - 2.236 | 1.128 - 1.618 | 0.5 - 0.618 |
| 'SNORM' | 0.9 - 1.1 | 0.9 - 1.1 | 0.9 - 1.1 | 0.618 - 1.618 |
| 'COL Poruchik' | 1.0 *min - 1.0 *max | 0.382 - 2.618 | 0.128 - 3.618 | 0.618 - 3.618 |
| 'Henry – David' | 0.618 - 0.886 | 0.44 - 0.618 | 0.128 - 2.0 | 0.618 - 1.618 |
| 'DAVID VM 1' | 1.618 - 1.618 | 0.382*min - 0.382*max | 0.128 - 1.618 | 0.618 - 3.618 |
| 'DAVID VM 2' | 1.618 - 1.618 | 0.382*min - 0.382*max | 1.618 - 3.618 | 0.618 - 7.618 |
| 'Partizan' | 1.618*min - 1.618*max | 0.382*min - 0.382*max | 0.128 - 3.618 | 0.618 - 3.618 |
| 'Partizan 2' | 1.618 - 2.236 | 1.128 - 1.618 | 0.128 - 3.618 | 1.618 - 3.618 |
| 'Partizan 2.1' | 1.618*min - 1.618*max | 1.128*min - 1.128*max | 0.128 - 3.618 | 0.618 - 3.618 |
| 'Partizan 2.2' | 2.236*min - 2.236*max | 1.128*min - 1.128*max | 0.128 - 3.618 | 0.618 - 3.618 |
| 'Partizan 2.3' | 1.618*min - 1.618*max | 0.618 - 1.618 | 0.128 - 3.618 | 0.618 - 3.618 |
| 'Partizan 2.4' | 2.236*min - 2.236*max | 1.618*min - 1.618*max | 0.128 - 3.618 | 0.618 - 3.618 |
| 'TOTAL' | 1.272 - 3.618 | 0.382 - 2.618 | 0.276 - 0.786 | 0.618 - 1.618 |
| 'TOTAL NN' | 1.272 - 4.236 | 0.382 - 2.618 | 0.236 - 0.786 | 0.618 - 1.618 |
| 'TOTAL 1' | 1.272 - 2.618 | 0.382 - 0.886 | 0.382 - 0.786 | 0.786 - 0.886 |
| 'TOTAL 2' | 1.618 - 3.618 | 0.382 - 0.886 | 0.382 - 0.786 | 1.128 - 1.618 |
| 'TOTNN 2NN' | 1.618 - 4.236 | 0.382 - 0.886 | 0.382 - 0.786 | 1.128 - 1.618 |
| 'TOTAL 3' | 1.272 - 2.618 | 1.128 - 2.618 | 0.276 - 0.618 | 0.618 - 0.886 |
| 'TOTNN 3NN' | 1.272 - 2.618 | 1.128 - 2.618 | 0.236 - 0.618 | 0.618 - 0.886 |
| 'TOTAL 4' | 1.618 - 2.618 | 1.128 - 2.618 | 0.382 - 0.786 | 1.128 - 1.272 |
| 'BG 1' | 2.618*min - 2.618*max | 0.382*min - 0.382*max | 0.128 - 0.886 | 1.0 *min - 1.0 *max |
| 'BG 2' | 2.237*min - 2.237*max | 0.447*min - 0.447*max | 0.128 - 0.886 | 1.0 *min - 1.0 *max |
| 'BG 3' | 2.0 *min - 2.0 *max | 0.5 *min - 0.5 *max | 0.128 - 0.886 | 1.0 *min - 1.0 *max |
| 'BG 4' | 1.618*min - 1.618*max | 0.618*min - 0.618*max | 0.128 - 0.886 | 1.0 *min - 1.0 *max |
| 'BG 5' | 1.414*min - 1.414*max | 0.707*min - 0.707*max | 0.128 - 0.886 | 1.0 *min - 1.0 *max |
| 'BG 6' | 1.272*min - 1.272*max | 0.786*min - 0.786*max | 0.128 - 0.886 | 1.0 *min - 1.0 *max |
| 'BG 7' | 1.171*min - 1.171*max | 0.854*min - 0.854*max | 0.128 - 0.886 | 1.0 *min - 1.0 *max |
| 'BG 8' | 1.128*min - 1.128*max | 0.886*min - 0.886*max | 0.128 - 0.886 | 1.0 *min - 1.0 *max |
|-------------------|------------------------|------------------------|-----------------------|-----------------------|
🔶 SETTINGS
🔹 Swings
Minimum Swing Length: Minimum length used for the swing detection.
Maximum Swing Length: Maximum length used for the swing detection.
🔹 Patterns
Toggle Pattern Block
Toggle separate pattern in each Pattern Block
🔹 Tolerance
Fibonacci Ratio: Adds a percentage tolerance below/above the ratio when only one ratio applies, creating two limits.
Triangle Area Ratio: Filters patterns based on the ratio of the smallest triangle to the largest triangle.
🔹 Display
Labels: Display Pattern Names, Arrows or nothing
Patterns: Display or not
Last Line: Display previous C-D line when updated
🔹 Style
Colors: Pattern Lines/Names/Arrows - background color of patterns
Text Size: Text Size of Pattern Names/Arrows
🔹 Calculation
Calculated Bars: Allows the usage of fewer bars for performance/speed improvement
Prometheus Analytics Hurst ExponentThis indicator uses market data to calculate the Hurst Exponent so traders can have knowledge of the long memory of the asset.
Users can control the lookback length for the H value (Hurst Exponent), lookback length for the SMA (Simple Moving Average) of the Hurst Exponent, to show either, and what to calculate the H value and SMA on.
Hurst Exponent:
The Hurst Exponent is a value between 0 and 1 with 0.5 as a midline.
An H value(Hurst Exponent) above 0.5 indicates a trending market, and a market that should have larger, longer moves.
An H value below 0.5 indicates a mean reverting market, and a market that should have smaller, shorter moves.
An H value of0.5 indicates a random walk. This would mean the price would follow a Brownian Motion model and future prices would be independent from past prices.
Just because the H value is above 0.5 does not indicate that there should be an UP trend, just as a value below 0.5 does not indicate a DOWN trend. It indicates that there should be a trend, up or down.
Scenarios:
An intuitive way to use the Hurst Exponent is as an asset is trending in whatever direction, as the H value crosses below 0.5 it indicates a reversal. It indicates that what was happening before isn’t impacting what is happening now as much.
Steps explained from picture:
Step 1: Strong uptrend is identified with the asset moving up aggressively with H above 0.5.
Step 2: The H value crosses below 0.5 and prices stay elevated.
Step 3: Price reverts back down as the H value stays below 0.5
Just because the H value is above 0.5 doesn’t mean the asset has to be uptrending. In this example we see the asset fall as the H value is above 0.5. Not only that, but every time it crosses below 0.5, the asset takes a breather on the way down
Step 1: As the H value crosses above 0.5, we can expect trends to appear in the asset.
Step 2: After the trend switches to down, we only see a breather and some chop after the H value crosses back below 0.5.
Step 3: Once The H value crosses back over we see the downtrend continue and new lows be made.
Step 4: We see it once again, simply the area of chop is bigger. We don’t see a higher high, breaking the overall downtrend, but once the H value crosses over again the downturn continues and we see a lower low.
It may occur when no strong trend is made in either direction. The H value above 0.5 does indeed sometimes correlate with an uptrend sometimes.
Step 1: After the strong downtrend we see a break below 0.5 with some consolidation.
Step 2: No clear big move on the asset or H value.
Step 3: H value above 0.5 leads to a break of highs and a new uptrend.
Users have the option to decide what to calculate the H value on. Close is the default, or dollar return per bar are the options. Dollar return per bar and offer an H value that may give a better indication of when price moves will be small and sporadic.
Using dollar move per bar.
Step 1: H value cross above 0.5, we see large candles and fast moves.
Step 2: H value crosses below 0.5, the candles immediately following are shorter. The big red candles come right before the cross back above.
Step 3: H value cross back above 0.5, after some chop, large move down.
Similar story
Step 1: H value above 0.5, big trends either direction
Step 2: After the H value crosses below, the moves are short and choppy.
Settings:
Options to show or remove either the H value or it’s SMA.
Options to adjust the period uses, default is (32, 16)
FunctionTimeFrequencyLibrary "FunctionTimeFrequency"
Functions to encode time in a normalized space (-0.5, 0.5) that corresponds to the position of the
current time in the referrence frequency of time.
The purpose of normalizing the time value in this manner is to provide a consistent and easily comparable
representation of normalized time that can be used for various calculations or comparisons without needing
to consider the specific scale of time. This function can be particularly useful when working with high-precision
timing data, as it allows you to compare and manipulate time values more flexibly than using absolute second
counts alone.
Reference:
github.com
second_of_minute(t)
Second of minute encoded as value between (-0.5, 0.5).
Parameters:
t (int) : Time value.
Returns: normalized time.
minute_of_hour(t)
Minute of hour encoded as value between (-0.5, 0.5).
Parameters:
t (int) : Time value.
Returns: normalized time.
hour_of_day(t)
Hour of day encoded as value between (-0.5, 0.5).
Parameters:
t (int) : Time value.
Returns: normalized time.
day_of_week(t)
Day of week encoded as value between (-0.5, 0.5).
Parameters:
t (int) : Time value.
Returns: normalized time.
day_of_month(t)
Day of month encoded as value between (-0.5, 0.5).
Parameters:
t (int) : Time value.
Returns: normalized time.
day_of_year(t)
Day of year encoded as value between (-0.5, 0.5).
Parameters:
t (int) : Time value.
Returns: normalized time.
month_of_year(t)
Month of year encoded as value between (-0.5, 0.5).
Parameters:
t (int) : Time value.
Returns: normalized time.
week_of_year(t)
Week of year encoded as value between (-0.5, 0.5).
Parameters:
t (int) : Time value.
Returns: normalized time.
GIGANEVA V6.61 PublicThis enhanced Fibonacci script for TradingView is a powerful, all-in-one tool that calculates Fibonacci Levels, Fans, Time Pivots, and Golden Pivots on both logarithmic and linear scales. Its ability to compute time pivots via fan intersections and Range interactions, combined with user-friendly features like Bool Fib Right, sets it apart. The script maximizes TradingView’s plotting capabilities, making it a unique and versatile tool for technical analysis across various markets.
1. Overview of the Script
The script appears to be a custom technical analysis tool built for TradingView, improving upon an existing script from TradingView’s Community Scripts. It calculates and plots:
Fibonacci Levels: Standard retracement levels (e.g., 0.236, 0.382, 0.5, 0.618, etc.) based on a user-defined price range.
Fibonacci Fans: Trendlines drawn from a high or low point, radiating at Fibonacci ratios to project potential support/resistance zones.
Time Pivots: Points in time where significant price action is expected, determined by the intersection of Fibonacci Fans or their interaction with key price levels.
Golden Pivots: Specific time pivots calculated when the 0.5 Fibonacci Fan (on a logarithmic or linear scale) intersects with its counterpart.
The script supports both logarithmic and linear price scales, ensuring versatility across different charting preferences. It also includes a feature to extend Fibonacci Fans to the right, regardless of whether the user selects the top or bottom of the range first.
2. Key Components Explained
a) Fibonacci Levels and Fans from Top and Bottom of the "Range"
Fibonacci Levels: These are horizontal lines plotted at standard Fibonacci retracement ratios (e.g., 0.236, 0.382, 0.5, 0.618, etc.) based on a user-defined price range (the "Range"). The Range is typically the distance between a significant high (top) and low (bottom) on the chart.
Example: If the high is $100 and the low is $50, the 0.618 retracement level would be at $80.90 ($50 + 0.618 × $50).
Fibonacci Fans: These are diagonal lines drawn from either the top or bottom of the Range, radiating at Fibonacci ratios (e.g., 0.382, 0.5, 0.618). They project potential dynamic support or resistance zones as price evolves over time.
From Top: Fans drawn downward from the high of the Range.
From Bottom: Fans drawn upward from the low of the Range.
Log and Linear Scale:
Logarithmic Scale: Adjusts price intervals to account for percentage changes, which is useful for assets with large price ranges (e.g., cryptocurrencies or stocks with exponential growth). Fibonacci calculations on a log scale ensure ratios are proportional to percentage moves.
Linear Scale: Uses absolute price differences, suitable for assets with smaller, more stable price ranges.
The script’s ability to plot on both scales makes it adaptable to different markets and user preferences.
b) Time Pivots
Time pivots are points in time where significant price action (e.g., reversals, breakouts) is anticipated. The script calculates these in two ways:
Fans Crossing Each Other:
When two Fibonacci Fans (e.g., one from the top and one from the bottom) intersect, their crossing point represents a potential time pivot. This is because the intersection indicates a convergence of dynamic support/resistance zones, increasing the likelihood of a price reaction.
Example: A 0.618 fan from the top crosses a 0.382 fan from the bottom at a specific bar on the chart, marking that bar as a time pivot.
Fans Crossing Top and Bottom of the Range:
A fan line (e.g., 0.5 fan from the bottom) may intersect the top or bottom price level of the Range at a specific time. This intersection highlights a moment where the fan’s projected support/resistance aligns with a key price level, signaling a potential pivot.
Example: The 0.618 fan from the bottom reaches the top of the Range ($100) at bar 50, marking bar 50 as a time pivot.
c) Golden Pivots
Definition: Golden pivots are a special type of time pivot calculated when the 0.5 Fibonacci Fan on one scale (logarithmic or linear) intersects with the 0.5 fan on the opposite scale (or vice versa).
Significance: The 0.5 level is the midpoint of the Fibonacci sequence and often acts as a critical balance point in price action. When fans at this level cross, it suggests a high-probability moment for a price reversal or significant move.
Example: If the 0.5 fan on a logarithmic scale (drawn from the bottom) crosses the 0.5 fan on a linear scale (drawn from the top) at bar 100, this intersection is labeled a "Golden Pivot" due to its confluence of key Fibonacci levels.
d) Bool Fib Right
This is a user-configurable setting (a boolean input in the script) that extends Fibonacci Fans to the right side of the chart.
Functionality: When enabled, the fans project forward in time, regardless of whether the user selected the top or bottom of the Range first. This ensures consistency in visualization, as the direction of the Range selection (top-to-bottom or bottom-to-top) does not affect the fan’s extension.
Use Case: Traders can use this to project future support/resistance zones without worrying about how they defined the Range, improving usability.
3. Why Is This Code Unique?
Original calculation of Log levels were taken from zekicanozkanli code. Thank you for giving me great Foundation, later modified and applied to Fib fans. The script’s uniqueness stems from its comprehensive integration of Fibonacci-based tools and its optimization for TradingView’s plotting capabilities. Here’s a detailed breakdown:
All-in-One Fibonacci Tool:
Most Fibonacci scripts on TradingView focus on either retracement levels, extensions, or fans.
This script combines:
Fibonacci Levels: Static horizontal lines for retracement and extension.
Fibonacci Fans: Dynamic trendlines for projecting support/resistance.
Time Pivots: Temporal analysis based on fan intersections and Range interactions.
Golden Pivots: Specialized pivots based on 0.5 fan confluences.
By integrating these functions, the script provides a holistic Fibonacci analysis tool, reducing the need for multiple scripts.
Log and Linear Scale Support:
Many Fibonacci tools are designed for linear scales only, which can distort projections for assets with exponential price movements. By supporting both logarithmic and linear scales, the script caters to a wider range of markets (e.g., stocks, forex, crypto) and user preferences.
Time Pivot Calculations:
Calculating time pivots based on fan intersections and Range interactions is a novel feature. Most TradingView scripts focus on price-based Fibonacci levels, not temporal analysis. This adds a predictive element, helping traders anticipate when significant price action might occur.
Golden Pivot Innovation:
The concept of "Golden Pivots" (0.5 fan intersections across scales) is a unique addition. It leverages the symmetry of the 0.5 level and the differences between log and linear scales to identify high-probability pivot points.
Maximized Plot Capabilities:
TradingView imposes limits on the number of plots (lines, labels, etc.) a script can render. This script is coded to fully utilize these limits, ensuring that all Fibonacci levels, fans, pivots, and labels are plotted without exceeding TradingView’s constraints.
This optimization likely involves efficient use of arrays, loops, and conditional plotting to manage resources while delivering a rich visual output.
User-Friendly Features:
The Bool Fib Right option simplifies fan projection, making the tool intuitive even for users who may not consistently select the Range in the same order.
The script’s flexibility in handling top/bottom Range selection enhances usability.
4. Potential Use Cases
Trend Analysis: Traders can use Fibonacci Fans to identify dynamic support/resistance zones in trending markets.
Reversal Trading: Time pivots and Golden Pivots help pinpoint moments for potential price reversals.
Range Trading: Fibonacci Levels provide key price zones for trading within a defined range.
Cross-Market Application: Log/linear scale support makes the script suitable for stocks, forex, commodities, and cryptocurrencies.
The original code was from zekicanozkanli . Thank you for giving me great Foundation.
Intraday Buy/Sell using Gann Angles - RiTzIntraday Buy/Sell Levels using Gann Angles based on Todays Open/previous Day High/Low/Close prices
How to use this :
The Buy/Sell levels will be calculated on 1 of 4 things (you can choose any one which you prefer)
1. Todays Open price
2. Previous Day High
3. Previous Day Low
4. Previous Day Close
The Buy/Sell levels will be displayed in these ways
1. In a Table
2. on the Chart
You can turn them on/off according to your preference!
I can't seem to find the original documentation or a link to it.
i have it's excel file, in which we have to enter following data :
1. Todays Open price
2. Previous Day High
3. Previous Day Low
4. Previous Day Close
and the buy/sell levels are calculated by using the above data in following manner :
Based On Today's Opening Price
(lets call it TDO)
Degree's````````````````` Degree Factor```````````````````````` Buy````````````````````````` Sell
11.25```````````````````` =degree/180=11.25/180=0.0625````````` =(sqrt(TDO)-0.0625)^2``````` =(sqrt(TDO)+0.0625)^2````` SL
22.5````````````````````` =degree/180=22.5/180=0.125``````````` =(sqrt(TDO)+0.125)^2```````` =(sqrt(TDO)-0.125)^2`````` Buy/Sell At
45``````````````````````` =degree/180=45/180=0.25`````````````` =(sqrt(TDO)+0.25)^2````````` =(sqrt(TDO)-0.25)^2``````` Target-1
90``````````````````````` =degree/180=90/180=0.5``````````````` =(sqrt(TDO)+0.5)^2`````````` =(sqrt(TDO)-0.5)^2```````` Target-2
135`````````````````````` =degree/180=135/180=0.75````````````` =(sqrt(TDO)+0.75)^2````````` =(sqrt(TDO)-0.75)^2``````` Target-3
180`````````````````````` =degree/180=180/180=1```````````````` =(sqrt(TDO)+1)^2```````````` =(sqrt(TDO)-1)^2`````````` Target-4
225`````````````````````` =degree/180=225/180=1.25````````````` =(sqrt(TDO)+1.25)^2````````` =(sqrt(TDO)-1.25)^2``````` Target-5
270`````````````````````` =degree/180=270/180=1.5`````````````` =(sqrt(TDO)+1.5)^2`````````` =(sqrt(TDO)-1.5)^2```````` Target-6
315`````````````````````` =degree/180=315/180=1.75````````````` =(sqrt(TDO)+1.75)^2````````` =(sqrt(TDO)-1.75)^2``````` Target-7
360`````````````````````` =degree/180=360/180=2```````````````` =(sqrt(TDO)+2)^2```````````` =(sqrt(TDO)-2)^2`````````` Target-8
sqrt = square root
TDO = Today's Opening Price
PDH = Previous Days High
PDL = Previous Days Low
PDC = Previous Days Close
Based On Previous Days High Price
(lets call it PDH)
Degree's````````````````` Degree Factor```````````````````````` Buy````````````````````````` Sell
11.25```````````````````` =degree/180=11.25/180=0.0625````````` =(sqrt(PDH)-0.0625)^2``````` =(sqrt(PDH)+0.0625)^2````` SL
22.5````````````````````` =degree/180=22.5/180=0.125``````````` =(sqrt(PDH)+0.125)^2```````` =(sqrt(PDH)-0.125)^2`````` Buy/Sell At
45``````````````````````` =degree/180=45/180=0.25`````````````` =(sqrt(PDH)+0.25)^2````````` =(sqrt(PDH)-0.25)^2``````` Target-1
90``````````````````````` =degree/180=90/180=0.5``````````````` =(sqrt(PDH)+0.5)^2`````````` =(sqrt(PDH)-0.5)^2```````` Target-2
135`````````````````````` =degree/180=135/180=0.75````````````` =(sqrt(PDH)+0.75)^2````````` =(sqrt(PDH)-0.75)^2``````` Target-3
180`````````````````````` =degree/180=180/180=1```````````````` =(sqrt(PDH)+1)^2```````````` =(sqrt(PDH)-1)^2`````````` Target-4
225`````````````````````` =degree/180=225/180=1.25````````````` =(sqrt(PDH)+1.25)^2````````` =(sqrt(PDH)-1.25)^2``````` Target-5
270`````````````````````` =degree/180=270/180=1.5`````````````` =(sqrt(PDH)+1.5)^2`````````` =(sqrt(PDH)-1.5)^2```````` Target-6
315`````````````````````` =degree/180=315/180=1.75````````````` =(sqrt(PDH)+1.75)^2````````` =(sqrt(PDH)-1.75)^2``````` Target-7
360`````````````````````` =degree/180=360/180=2```````````````` =(sqrt(PDH)+2)^2```````````` =(sqrt(PDH)-2)^2`````````` Target-8
Based On Previous Days Low Price
(lets call it PDL)
Degree's````````````````` Degree Factor```````````````````````` Buy````````````````````````` Sell
11.25```````````````````` =degree/180=11.25/180=0.0625````````` =(sqrt(PDL)-0.0625)^2``````` =(sqrt(PDL)+0.0625)^2````` SL
22.5````````````````````` =degree/180=22.5/180=0.125``````````` =(sqrt(PDL)+0.125)^2```````` =(sqrt(PDL)-0.125)^2`````` Buy/Sell At
45``````````````````````` =degree/180=45/180=0.25`````````````` =(sqrt(PDL)+0.25)^2````````` =(sqrt(PDL)-0.25)^2``````` Target-1
90``````````````````````` =degree/180=90/180=0.5``````````````` =(sqrt(PDL)+0.5)^2`````````` =(sqrt(PDL)-0.5)^2```````` Target-2
135`````````````````````` =degree/180=135/180=0.75````````````` =(sqrt(PDL)+0.75)^2````````` =(sqrt(PDL)-0.75)^2``````` Target-3
180`````````````````````` =degree/180=180/180=1```````````````` =(sqrt(PDL)+1)^2```````````` =(sqrt(PDL)-1)^2`````````` Target-4
225`````````````````````` =degree/180=225/180=1.25````````````` =(sqrt(PDL)+1.25)^2````````` =(sqrt(PDL)-1.25)^2``````` Target-5
270`````````````````````` =degree/180=270/180=1.5`````````````` =(sqrt(PDL)+1.5)^2`````````` =(sqrt(PDL)-1.5)^2```````` Target-6
315`````````````````````` =degree/180=315/180=1.75````````````` =(sqrt(PDL)+1.75)^2````````` =(sqrt(PDL)-1.75)^2``````` Target-7
360`````````````````````` =degree/180=360/180=2```````````````` =(sqrt(PDL)+2)^2```````````` =(sqrt(PDL)-2)^2`````````` Target-8
Based On Previous Days Close Price
(lets call it PDC)
Degree's````````````````` Degree Factor```````````````````````` Buy````````````````````````` Sell
11.25```````````````````` =degree/180=11.25/180=0.0625````````` =(sqrt(PDC)-0.0625)^2``````` =(sqrt(PDC)+0.0625)^2````` SL
22.5````````````````````` =degree/180=22.5/180=0.125``````````` =(sqrt(PDC)+0.125)^2```````` =(sqrt(PDC)-0.125)^2`````` Buy/Sell At
45``````````````````````` =degree/180=45/180=0.25`````````````` =(sqrt(PDC)+0.25)^2````````` =(sqrt(PDC)-0.25)^2``````` Target-1
90``````````````````````` =degree/180=90/180=0.5``````````````` =(sqrt(PDC)+0.5)^2`````````` =(sqrt(PDC)-0.5)^2```````` Target-2
135`````````````````````` =degree/180=135/180=0.75````````````` =(sqrt(PDC)+0.75)^2````````` =(sqrt(PDC)-0.75)^2``````` Target-3
180`````````````````````` =degree/180=180/180=1```````````````` =(sqrt(PDC)+1)^2```````````` =(sqrt(PDC)-1)^2`````````` Target-4
225`````````````````````` =degree/180=225/180=1.25````````````` =(sqrt(PDC)+1.25)^2````````` =(sqrt(PDC)-1.25)^2``````` Target-5
270`````````````````````` =degree/180=270/180=1.5`````````````` =(sqrt(PDC)+1.5)^2`````````` =(sqrt(PDC)-1.5)^2```````` Target-6
315`````````````````````` =degree/180=315/180=1.75````````````` =(sqrt(PDC)+1.75)^2````````` =(sqrt(PDC)-1.75)^2``````` Target-7
360`````````````````````` =degree/180=360/180=2```````````````` =(sqrt(PDC)+2)^2```````````` =(sqrt(PDC)-2)^2`````````` Target-8
example based On Today's Opening Price = 4339
Degree's```````` Degree Factor```````` Buy`````````` Sell
11.25``````````` 0.0625``````````````` 4330.77`````` 4347.24```````` SL
22.5```````````` 0.125```````````````` 4355.48`````` 4322.55```````` Buy/Sell At
45`````````````` 0.25````````````````` 4372.00`````` 4306.13```````` Target-1
90`````````````` 0.5`````````````````` 4405.12`````` 4273.38```````` Target-2
135````````````` 0.75````````````````` 4438.37`````` 4240.76```````` Target-3
180````````````` 1```````````````````` 4471.74`````` 4208.26```````` Target-4
225````````````` 1.25````````````````` 4505.24`````` 4175.88```````` Target-5
270````````````` 1.5`````````````````` 4538.86`````` 4143.64```````` Target-6
315````````````` 1.75````````````````` 4572.61`````` 4111.51```````` Target-7
360````````````` 2```````````````````` 4606.48`````` 4079.52```````` Target-8
Note : ignore the '`' , inserted them to fill up the spaces , it was looking very weird!, tried to fix it as much as I can.
Note :- Please correct me if I'm wrong , as I've already mentioned I don't have it's original documentation.
if anyone can find it or already has it then please feel free to share it.
MTF Ichimoku Analysis[tanayroy]Ichimoku can state market conditions better than any indicator or group of indicators(My own perspective). Ichimoku works seamlessly in different timeframes. Analysis of Ichimoku in different timeframes can give you the bigger picture of the market.
This indicator analyzes six different timeframes with Ichimoku in depth. Default timeframes are 5M, 30M, 60M, D, W, and M. You can change the default timeframes from the setting.
As we are dealing with many relations, we can define the relationship with a simple score to get the trend strength.
Ichimoku Analysis:
Relationship of Price(P) with Ichimoku indicators: Here we are analyzing the current price and Ichimoku indicators. The position of price with respect to Ichimoku indicators states the market condition clearly.
Price(P) and Kumo(C): P > C = Bullish (↑). P < C = Bearish (↓). P <> C = consolidation or no trend(↔). Score: ±2
Price(P) and Tenkan Sen(T): P >= T = Bullish (↑). P < T = Bearish (↓). Score: ±0.5
Price(P) and Kijun Sen(K): P >= K = Bullish (↑). P < T = Bearish (↓). Score: ±0.5
Price(26 bars ago) and Chiku(L): L >= P(26) = Bullish (↑). L < P(26) = Bearish (↓). Score: ±0.5
Tenkan Sen and Kijun Sen Relation. Tenkan Sen depicts short-term trends and Kijun depicts mid-term trends. So this relationship is important for analyzing the current trend of the market.
Tenkan Sen(T) and Kijun Sen(K): T >= K = Bullish (↑). T < K = Bearish (↓). Score: ±2
Direction of Ichimoku indicators.
The direction of Ichimoku indicators helps us to understand the trend strength.
Tenkan Sen's(T) direction: Upward slope = Bullish (↑). Downward slope = Bearish (↓). Flat=consolidation or no trend(↔). Score: ±0.5
Kijun Sen's(K) direction: Upward slope = Bullish (↑). Downward slope = Bearish (↓). Flat=consolidation or no trend(↔). Score: ±0.5
Senkou A(A) direction: Upward slope = Bullish (↑). Downward slope = Bearish (↓). Flat=consolidation or no trend(↔). Score: ±0.5
Senkou B(A) direction: Upward slope = Bullish (↑). Downward slope = Bearish (↓). Flat=consolidation or no trend(↔). Score: ±0.5
Cloud and other Ichimoku indicators:
Kumo or Cloud is very important in the Ichimoku system. Analyzing its relation with other indicators is important to detect the overall market condition.
Kumo(C) and Tenkan Sen(T): T >= C = Bullish (↑). T < C = Bearish (↓). T <> C = consolidation or no trend(↔). Score: ±0.5
Kumo(C) and Kijun Sen(K): K >= C = Bullish (↑). K < C = Bearish (↓). K <> C = consolidation or no trend(↔). Score: ±0.5
Kumo(C) and Chiku(L): L >= C = Bullish (↑). L < C = Bearish (↓). L <> C = consolidation or no trend(↔). Score: ±0.5
Kumo(C) Shadow: By analyzing the last 252 bars(you can change this option) we are analyzing the Kumo shadow behind the current price. If Kumo shadow is present behind the price, trend strength will be weakened. Score: ±0.5
Kumo(C) Future (Senkou A(A) and Senkou B(B)): A >= B = Bullish (↑). A < B = Bearish (↓). Score: ±0.5
Chiku(L) Analysis:
Vertical and Horizontal Chiku analysis will tell us about the possible consolidation of the price.
Chiku Vertical: if the price consolidates for the next 5 bars(You can change this option) will it run into the price. Please remember we are placing the current price 26 bars ago and we are interested to see the current price in open space for a clear trend. Score: ±0.5
Chikou Horizontal: If Chiku is in open space (Not running into the price), we want to review Chiku vertically i.e how much percentage of fall or rise of the current price can cause Chiku to run into the price.
So, the maximum trend score is ±10.5.
Ichimoku signals:
We know, that the crossover of Ichimoku indicators provides important signals. In this section, you can see all the crossover i.e when they happened (Bars ago)
Distance between price and Tenkan Sen and Kijun Sen: We know, the price come back to Tenkan/Kijun if it goes far away from Tenkan/Kijun. So it is important to note the distance between Tenkan and Price.
Please note that this indicator is not a strategy or buy/sell signal. It just shows you the picture of Ichimoku in multiple timeframes. I am working on some strategies of Ichimoku and will publish the same when my research is complete.
If you want to analyze Ichimoku in a single timeframe, please review the following indicator.
To maintain the table size you can use the shorthand notation from the setting.
Table with detailed analysis:
Table with shorthand notation:
Please comment if you want any clarification or found any bugs to report.
AWR R & LR Oscillator with plots & tableHello trading viewers !
I'm glad to share with you one of my favorite indicator. It's the aggregate of many things. It is partly based on an indicator designed by gentleman goat. Many thanks to him.
1. Oscillator and Correlation Calculations
Overview and Functionality: This part of the indicator computes up to 10 Pearson correlation coefficients between a chosen source (typically the close price, though this is user-configurable) and the bar index over various periods. Starting with an initial period defined by the startPeriod parameter and increasing by a set increment (periodIncrement), each correlation coefficient is calculated using the built-in ta.correlation function over successive ranges. These coefficients are stored in an array, and the indicator calculates their average (avgPR) to provide a complete view of the market trend strength.
Display Features: Each individual coefficient, as well as the overall average, is plotted on the chart using a specific color. Horizontal lines (both dashed and solid) are drawn at levels 0, ±0.8, and ±1, serving as visual thresholds. Additionally, conditional fills in red or blue highlight when values exceed these thresholds, helping the user quickly identify potential extreme conditions (such as overbought or oversold situations).
2. Visual Signals and Automated Alerts
Graphical Signal Enhancements: To reinforce the analysis, the indicator uses graphical elements like emojis and shape markers. For example:
If all 10 curves drop below -0.79, a 🌋 emoji appears at the bottom of the chart;
When curves 2 through 10 are below -0.79, a ⛰️ emoji is displayed below the bar, potentially serving as a buy signal accompanied by an alert condition;
Likewise, symmetrical conditions for correlations exceeding 0.79 produce corresponding emojis (🤿 and 🏖️) at the top or bottom of the chart.
Alerts and Notifications: Using these visual triggers, several alertcondition statements are defined within the script. This allows users to set up TradingView alerts and receive real-time notifications whenever the market reaches these predefined critical zones identified by the multi-period analysis.
3. Regression Channel Analysis
Principles and Calculations: In addition to the oscillator, the indicator implements an analysis of regression channels. For each of the 8 configurable channels, the user can set a range of periods (for example, min1 to max1, etc.). The function calc_regression_channel iterates through the defined period range to find the optimal period that maximizes a statistical measure derived from a regression parameter calculated by the function r(p). Once this optimal period is identified, the indicator computes two key points (A and B) which define the main regression line, and then creates a channel based on the calculated deviation (an RMSE multiplied by a user-defined factor).
The regression channels are not displayed on the chart but are used to plot shapes & fullfilled a table.
Blue shapes are plotted when 6th channel or 7th channel are lower than 3 deviations
Yellow shapes are plotted when 6th channel or 7th channel are higher than 3 deviations
4. Scores, Conditions, and the Summary Table
Scoring System: The indicator goes further by assigning scores across multiple analytical categories, such as:
1. BigPear Score
What It Represents: This score is based on a longer-term moving average of the Pearson correlation values (SMA 100 of the average of the 10 curves of correlation of Pearson). The BigPear category is designed to capture where this longer-term average falls within specific ranges.
Conditions: The script defines nine boolean conditions (labeled BigPear1up through BigPear9up for the “up” direction).
Here's the rules :
BigPear1up = (bigsma_avgPR <= 0.5 and bigsma_avgPR > 0.25)
BigPear2up = (bigsma_avgPR <= 0.25 and bigsma_avgPR > 0)
BigPear3up = (bigsma_avgPR <= 0 and bigsma_avgPR > -0.25)
BigPear4up = (bigsma_avgPR <= -0.25 and bigsma_avgPR > -0.5)
BigPear5up = (bigsma_avgPR <= -0.5 and bigsma_avgPR > -0.65)
BigPear6up = (bigsma_avgPR <= -0.65 and bigsma_avgPR > -0.7)
BigPear7up = (bigsma_avgPR <= -0.7 and bigsma_avgPR > -0.75)
BigPear8up = (bigsma_avgPR <= -0.75 and bigsma_avgPR > -0.8)
BigPear9up = (bigsma_avgPR <= -0.8)
Conditions: The script defines nine boolean conditions (labeled BigPear1down through BigPear9down for the “down” direction).
BigPear1down = (bigsma_avgPR >= -0.5 and bigsma_avgPR < -0.25)
BigPear2down = (bigsma_avgPR >= -0.25 and bigsma_avgPR < 0)
BigPear3down = (bigsma_avgPR >= 0 and bigsma_avgPR < 0.25)
BigPear4down = (bigsma_avgPR >= 0.25 and bigsma_avgPR < 0.5)
BigPear5down = (bigsma_avgPR >= 0.5 and bigsma_avgPR < 0.65)
BigPear6down = (bigsma_avgPR >= 0.65 and bigsma_avgPR < 0.7)
BigPear7down = (bigsma_avgPR >= 0.7 and bigsma_avgPR < 0.75)
BigPear8down = (bigsma_avgPR >= 0.75 and bigsma_avgPR < 0.8)
BigPear9down = (bigsma_avgPR >= 0.8)
Weighting:
If BigPear1up is true, 1 point is added; if BigPear2up is true, 2 points are added; and so on up to 9 points from BigPear9up.
Total Score:
The positive score (posScoreBigPear) is the sum of these weighted conditions.
Similarly, there is a negative score (negScoreBigPear) that is calculated using a mirrored set of conditions (named BigPear1down to BigPear9down), each contributing a negative weight (from -1 to -9).
In essence, the BigPear score tells you—in a weighted cumulative way—where the longer-term correlation average falls relative to predefined thresholds.
2. Pear Score
What It Represents: This category uses the immediate average of the Pearson correlations (avgPR) rather than a longer-term smoothed version. It reflects a more current picture of the market’s correlation behavior.
How It’s Calculated:
Conditions: There are nine conditions defined for the “up” scenario (named Pear1up through Pear9up), which partition the range of avgPR into intervals. For instance:
Pear1up = (avgPR > -0.2 and avgPR <= 0)
Pear2up = (avgPR > -0.4 and avgPR <= -0.2)
Pear3up = (avgPR > -0.5 and avgPR <= -0.4)
Pear4up = (avgPR > -0.6 and avgPR <= -0.5)
Pear5up = (avgPR > -0.65 and avgPR <= -0.6)
Pear6up = (avgPR > -0.7 and avgPR <= -0.65)
Pear7up = (avgPR > -0.75 and avgPR <= -0.7)
Pear8up = (avgPR > -0.8 and avgPR <= -0.75)
Pear9up = (avgPR > -1 and avgPR <= -0.8)
There are nine conditions defined for the “down” scenario (named Pear1down through Pear9down), which partition the range of avgPR into intervals. For instance:
Pear1down = (avgPR >= 0 and avgPR < 0.2)
Pear2down = (avgPR >= 0.2 and avgPR < 0.4)
Pear3down = (avgPR >= 0.4 and avgPR < 0.5)
Pear4down = (avgPR >= 0.5 and avgPR < 0.6)
Pear5down = (avgPR >= 0.6 and avgPR < 0.65)
Pear6down = (avgPR >= 0.65 and avgPR < 0.7)
Pear7down = (avgPR >= 0.7 and avgPR < 0.75)
Pear8down = (avgPR >= 0.75 and avgPR < 0.8)
Pear9down = (avgPR >= 0.8 and avgPR <= 1)
Weighting:
Each condition has an associated weight, such as 0.9 for Pear1up, 1.9 for Pear2up, and so on, up to 9 for Pear9up.
Sum up :
Pear1up = 0.9
Pear2up = 1.9
Pear3up = 2.9
Pear4up = 3.9
Pear5up = 4.99
Pear6up = 6
Pear7up = 7
Pear8up = 8
Pear9up = 9
Total Score:
The positive score (posScorePear) is the sum of these values for each condition that returns true.
A corresponding negative score (negScorePear) is calculated using conditions for when avgPR falls on the positive side, with similar weights in the negative direction.
This score quantifies the current correlation reading by translating its relative level into a numeric score through a weighted sum.
3. Trendpear Score
What It Represents: The Trendpear score is more dynamic as it compares the current avgPR with its short-term moving average (sma_avgPR / 14 periods ) and also considers its relationship with an even longer moving average (bigsma_avgPR / 100 periods). It is meant to capture the trend or momentum in the correlation behavior.
How It’s Calculated:
Conditions: Nine conditions (from Trendpear1up to Trendpear9up) are defined to check:
Whether avgPR is below, equal to, or above sma_avgPR by different margins;
Whether it is trending upward (i.e., it is higher than its previous value).
Here are the rules
Trendpear1up = (avgPR <= sma_avgPR -0.2) and (avgPR >= avgPR )
Trendpear2up = (avgPR > sma_avgPR -0.2) and (avgPR <= sma_avgPR -0.07) and (avgPR >= avgPR )
Trendpear3up = (avgPR > sma_avgPR -0.07) and (avgPR <= sma_avgPR -0.03) and (avgPR >= avgPR )
Trendpear4up = (avgPR > sma_avgPR -0.03) and (avgPR <= sma_avgPR -0.02) and (avgPR >= avgPR )
Trendpear5up = (avgPR > sma_avgPR -0.02) and (avgPR <= sma_avgPR -0.01) and (avgPR >= avgPR )
Trendpear6up = (avgPR > sma_avgPR -0.01) and (avgPR <= sma_avgPR -0.001) and (avgPR >= avgPR )
Trendpear7up = (avgPR >= sma_avgPR) and (avgPR >= avgPR ) and (avgPR <= bigsma_avgPR)
Trendpear8up = (avgPR >= sma_avgPR) and (avgPR >= avgPR ) and (avgPR >= bigsma_avgPR -0.03)
Trendpear9up = (avgPR >= sma_avgPR) and (avgPR >= avgPR ) and (avgPR >= bigsma_avgPR)
Weighting:
The weights here are not linear. For example, the lightest condition may add 0.1 point, whereas the most extreme condition (e.g., when avgPR is not only above the moving average but also reaches a high proportion relative to bigsma_avgPR) might add as much as 90 points.
Trendpear1up = 0.1
Trendpear2up = 0.2
Trendpear3up = 0.3
Trendpear4up = 0.4
Trendpear5up = 0.5
Trendpear6up = 0.69
Trendpear7up = 7
Trendpear8up = 8.9
Trendpear9up = 90
Total Score:
The positive score (posScoreTrendpear) is the sum of the weights from all conditions that are satisfied.
A negative counterpart (negScoreTrendpear) exists similarly for when the trend indicates a downward bias.
Trendpear integrates both the level and the direction of change in the correlations, giving a strong numeric indication when the market starts to diverge from its short-term average.
4. Deviation Score
What It Represents: The “Écart” score quantifies how far the asset’s price deviates from the boundaries defined by the regression channels. This metric can indicate if the price is excessively deviating—which might signal an eventual reversion—or confirming a breakout.
How It’s Calculated:
Conditions: For each channel (with at least seven channels contributing to the scoring from the provided code), there are three levels of deviation:
First tier (EcartXup): Checks if the price is below the upper boundary but above a second boundary.
Second tier (EcartXup2): Checks if the price has dropped further, between a lower and a more extreme boundary.
Third tier (EcartXup3): Checks if the price is below the most extreme limit.
Weighting:
Each tier within a channel has a very small weight for the lowest severities (for example, 0.0001 for the first tier, 0.0002 for the second, 0.0003 for the third) with weights increasing with the channel index.
First channel : 0.0001 to 0.0003 (very short term)
Second channel : 0.001 to 0.003 (short term)
Third channel : 0.01 to 0.03 (short mid term)
4th channel : 0.1 to 0.3 ( mid term)
5th channel: 1 to 3 (long mid term)
6th channel : 10 to 30 (long term)
7th channel : 100 to 300 (very long term)
Total Score:
The overall positive score (posScoreEcart) is the sum of all the weights for conditions met among the first, second, and third tiers.
The corresponding negative score (negScoreEcart) is calculated similarly (using conditions when the price is above the channel boundaries), with the weights being the same in magnitude but negative in sign.
This layered scoring method allows the indicator to reflect both minor and major deviations in a gradated and cumulative manner.
Example :
Score + = 321.0001
Score - = -0.111
The asset price is really overextended in long term view, not for mid term & short term expect the in the very short term.
Score + = 0.0033
Score - = -1.11
The asset price is really extended in short term view, not for mid term (even a bit underextended) & long term is neutral
5. Slope Score
What It Represents: The Slope score captures the trend direction and steepness of the regression channels. It reflects whether the regression line (and hence the underlying trend) is sloping upward or downward.
How It’s Calculated:
Conditions:
if the slope has a uptrend = 1
if the slope has a downtrend = -1
Weighting:
First channel : 0.0001 to 0.0003 (very short term)
Second channel : 0.001 to 0.003 (short term)
Third channel : 0.01 to 0.03 (short mid term)
4th channel : 0.1 to 0.3 ( mid term)
5th channel: 1 to 3 (long mid term)
6th channel : 10 to 30 (long term)
7th channel : 100 to 300 (very long term)
The positive slope conditions incrementally add weights from 0.0001 for the smallest positive slopes to 100 for the largest among the seven checks. And negative for the downward slopes.
The positive score (posScoreSlope) is the sum of all the weights from the upward slope conditions that are met.
The negative score (negScoreSlope) sums the negative weights when downward conditions are met.
Example :
Score + = 111
Score - = -0.1111
Trend is up for longterm & down for mid & short term
The slope score therefore emphasizes both the magnitude and the direction of the trend as indicated by the regression channels, with an intentional asymmetry that flags strong downtrends more aggressively.
Summary
For each category—BigPear, Pear, Trendpear, Écart, and Slope—the indicator evaluates a defined set of conditions. Each condition is a binary test (true/false) based on different thresholds or comparisons (for example, comparing the current value to a moving average or a channel boundary). When a condition is true, its assigned weight is added to the cumulative score for that category. These individual scores, both positive and negative, are then displayed in a table, making it easy for the trader to see at a glance where the market stands according to each analytical dimension.
This comprehensive, weighted approach allows the indicator to encapsulate several layers of market information into a single set of scores, aiding in the identification of potential trading opportunities or market reversals.
5. Practical Use and Application
How to Use the Indicator:
Interpreting the Signals:
On your chart, observe the following components:
The individual correlation curves and their average, plotted with visual thresholds;
Visual markers (such as emojis and shape markers) that signal potential oversold or overbought conditions
The summary table that aggregates the scores from each category, offering a quick glance at the market’s state.
Trading Alerts and Decisions: Set your TradingView alerts through the alertcondition functions provided by the indicator. This way, you receive immediate notifications when critical conditions are met, allowing you to react as soon as the market reaches key levels. This tool is especially beneficial for advanced traders who want to combine multiple technical dimensions to optimize entry and exit points with a confluence of signals.
Conclusion and Additional Insights
In summary, this advanced indicator innovatively combines multi-scale Pearson correlation analysis (via multiple linear regressions) with robust regression channel analysis. It offers a deep and nuanced view of market dynamics by delivering clear visual signals and a comprehensive numerical summary through a built-in score table.
Combine this indicator with other tools (e.g., oscillators, moving averages, volume indicators) to enhance overall strategy robustness.
Langlands-Operadic Möbius Vortex (LOMV)Langlands-Operadic Möbius Vortex (LOMV)
Where Pure Mathematics Meets Market Reality
A Revolutionary Synthesis of Number Theory, Category Theory, and Market Dynamics
🎓 THEORETICAL FOUNDATION
The Langlands-Operadic Möbius Vortex represents a groundbreaking fusion of three profound mathematical frameworks that have never before been combined for market analysis:
The Langlands Program: Harmonic Analysis in Markets
Developed by Robert Langlands (Fields Medal recipient), the Langlands Program creates bridges between number theory, algebraic geometry, and harmonic analysis. In our indicator:
L-Function Implementation:
- Utilizes the Möbius function μ(n) for weighted price analysis
- Applies Riemann zeta function convergence principles
- Calculates quantum harmonic resonance between -2 and +2
- Measures deep mathematical patterns invisible to traditional analysis
The L-Function core calculation employs:
L_sum = Σ(return_val × μ(n) × n^(-s))
Where s is the critical strip parameter (0.5-2.5), controlling mathematical precision and signal smoothness.
Operadic Composition Theory: Multi-Strategy Democracy
Category theory and operads provide the mathematical framework for composing multiple trading strategies into a unified signal. This isn't simple averaging - it's mathematical composition using:
Strategy Composition Arity (2-5 strategies):
- Momentum analysis via RSI transformation
- Mean reversion through Bollinger Band mathematics
- Order Flow Polarity Index (revolutionary T3-smoothed volume analysis)
- Trend detection using Directional Movement
- Higher timeframe momentum confirmation
Agreement Threshold System: Democratic voting where strategies must reach consensus before signal generation. This prevents false signals during market uncertainty.
Möbius Function: Number Theory in Action
The Möbius function μ(n) forms the mathematical backbone:
- μ(n) = 1 if n is a square-free positive integer with even number of prime factors
- μ(n) = -1 if n is a square-free positive integer with odd number of prime factors
- μ(n) = 0 if n has a squared prime factor
This creates oscillating weights that reveal hidden market periodicities and harmonic structures.
🔧 COMPREHENSIVE INPUT SYSTEM
Langlands Program Parameters
Modular Level N (5-50, default 30):
Primary lookback for quantum harmonic analysis. Optimized by timeframe:
- Scalping (1-5min): 15-25
- Day Trading (15min-1H): 25-35
- Swing Trading (4H-1D): 35-50
- Asset-specific: Crypto 15-25, Stocks 30-40, Forex 35-45
L-Function Critical Strip (0.5-2.5, default 1.5):
Controls Riemann zeta convergence precision:
- Higher values: More stable, smoother signals
- Lower values: More reactive, catches quick moves
- High frequency: 0.8-1.2, Medium: 1.3-1.7, Low: 1.8-2.3
Frobenius Trace Period (5-50, default 21):
Galois representation lookback for price-volume correlation:
- Measures harmonic relationships in market flows
- Scalping: 8-15, Day Trading: 18-25, Swing: 25-40
HTF Multi-Scale Analysis:
Higher timeframe context prevents trading against major trends:
- Provides market bias and filters signals
- Improves win rates by 15-25% through trend alignment
Operadic Composition Parameters
Strategy Composition Arity (2-5, default 4):
Number of algorithms composed for final signal:
- Conservative: 4-5 strategies (higher confidence)
- Moderate: 3-4 strategies (balanced approach)
- Aggressive: 2-3 strategies (more frequent signals)
Category Agreement Threshold (2-5, default 3):
Democratic voting minimum for signal generation:
- Higher agreement: Fewer but higher quality signals
- Lower agreement: More signals, potential false positives
Swiss-Cheese Mixing (0.1-0.5, default 0.382):
Golden ratio φ⁻¹ based blending of trend factors:
- 0.382 is φ⁻¹, optimal for natural market fractals
- Higher values: Stronger trend following
- Lower values: More contrarian signals
OFPI Configuration:
- OFPI Length (5-30, default 14): Order Flow calculation period
- T3 Smoothing (3-10, default 5): Advanced exponential smoothing
- T3 Volume Factor (0.5-1.0, default 0.7): Smoothing aggressiveness control
Unified Scoring System
Component Weights (sum ≈ 1.0):
- L-Function Weight (0.1-0.5, default 0.3): Mathematical harmony emphasis
- Galois Rank Weight (0.1-0.5, default 0.2): Market structure complexity
- Operadic Weight (0.1-0.5, default 0.3): Multi-strategy consensus
- Correspondence Weight (0.1-0.5, default 0.2): Theory-practice alignment
Signal Threshold (0.5-10.0, default 5.0):
Quality filter producing:
- 8.0+: EXCEPTIONAL signals only
- 6.0-7.9: STRONG signals
- 4.0-5.9: MODERATE signals
- 2.0-3.9: WEAK signals
🎨 ADVANCED VISUAL SYSTEM
Multi-Dimensional Quantum Aura Bands
Five-layer resonance field showing market energy:
- Colors: Theme-matched gradients (Quantum purple, Holographic cyan, etc.)
- Expansion: Dynamic based on score intensity and volatility
- Function: Multi-timeframe support/resistance zones
Morphism Flow Portals
Category theory visualization showing market topology:
- Green/Cyan Portals: Bullish mathematical flow
- Red/Orange Portals: Bearish mathematical flow
- Size/Intensity: Proportional to signal strength
- Recursion Depth (1-8): Nested patterns for flow evolution
Fractal Grid System
Dynamic support/resistance with projected L-Scores:
- Multiple Timeframes: 10, 20, 30, 40, 50-period highs/lows
- Smart Spacing: Prevents level overlap using ATR-based minimum distance
- Projections: Estimated signal scores when price reaches levels
- Usage: Precise entry/exit timing with mathematical confirmation
Wick Pressure Analysis
Rejection level prediction using candle mathematics:
- Upper Wicks: Selling pressure zones (purple/red lines)
- Lower Wicks: Buying pressure zones (purple/green lines)
- Glow Intensity (1-8): Visual emphasis and line reach
- Application: Confluence with fractal grid creates high-probability zones
Regime Intensity Heatmap
Background coloring showing market energy:
- Black/Dark: Low activity, range-bound markets
- Purple Glow: Building momentum and trend development
- Bright Purple: High activity, strong directional moves
- Calculation: Combines trend, momentum, volatility, and score intensity
Six Professional Themes
- Quantum: Purple/violet for general trading and mathematical focus
- Holographic: Cyan/magenta optimized for cryptocurrency markets
- Crystalline: Blue/turquoise for conservative, stability-focused trading
- Plasma: Gold/magenta for high-energy volatility trading
- Cosmic Neon: Bright neon colors for maximum visibility and aggressive trading
📊 INSTITUTIONAL-GRADE DASHBOARD
Unified AI Score Section
- Total Score (-10 to +10): Primary decision metric
- >5: Strong bullish signals
- <-5: Strong bearish signals
- Quality ratings: EXCEPTIONAL > STRONG > MODERATE > WEAK
- Component Analysis: Individual L-Function, Galois, Operadic, and Correspondence contributions
Order Flow Analysis
Revolutionary OFPI integration:
- OFPI Value (-100% to +100%): Real buying vs selling pressure
- Visual Gauge: Horizontal bar chart showing flow intensity
- Momentum Status: SHIFTING, ACCELERATING, STRONG, MODERATE, or WEAK
- Trading Application: Flow shifts often precede major moves
Signal Performance Tracking
- Win Rate Monitoring: Real-time success percentage with emoji indicators
- Signal Count: Total signals generated for frequency analysis
- Current Position: LONG, SHORT, or NONE with P&L tracking
- Volatility Regime: HIGH, MEDIUM, or LOW classification
Market Structure Analysis
- Möbius Field Strength: Mathematical field oscillation intensity
- CHAOTIC: High complexity, use wider stops
- STRONG: Active field, normal position sizing
- MODERATE: Balanced conditions
- WEAK: Low activity, consider smaller positions
- HTF Trend: Higher timeframe bias (BULL/BEAR/NEUTRAL)
- Strategy Agreement: Multi-algorithm consensus level
Position Management
When in trades, displays:
- Entry Price: Original signal price
- Current P&L: Real-time percentage with risk level assessment
- Duration: Bars in trade for timing analysis
- Risk Level: HIGH/MEDIUM/LOW based on current exposure
🚀 SIGNAL GENERATION LOGIC
Balanced Long/Short Architecture
The indicator generates signals through multiple convergent pathways:
Long Entry Conditions:
- Score threshold breach with algorithmic agreement
- Strong bullish order flow (OFPI > 0.15) with positive composite signal
- Bullish pattern recognition with mathematical confirmation
- HTF trend alignment with momentum shifting
- Extreme bullish OFPI (>0.3) with any positive score
Short Entry Conditions:
- Score threshold breach with bearish agreement
- Strong bearish order flow (OFPI < -0.15) with negative composite signal
- Bearish pattern recognition with mathematical confirmation
- HTF trend alignment with momentum shifting
- Extreme bearish OFPI (<-0.3) with any negative score
Exit Logic:
- Score deterioration below continuation threshold
- Signal quality degradation
- Opposing order flow acceleration
- 10-bar minimum between signals prevents overtrading
⚙️ OPTIMIZATION GUIDELINES
Asset-Specific Settings
Cryptocurrency Trading:
- Modular Level: 15-25 (capture volatility)
- L-Function Precision: 0.8-1.3 (reactive to price swings)
- OFPI Length: 10-20 (fast correlation shifts)
- Cascade Levels: 5-7, Theme: Holographic
Stock Index Trading:
- Modular Level: 25-35 (balanced trending)
- L-Function Precision: 1.5-1.8 (stable patterns)
- OFPI Length: 14-20 (standard correlation)
- Cascade Levels: 4-5, Theme: Quantum
Forex Trading:
- Modular Level: 35-45 (smooth trends)
- L-Function Precision: 1.6-2.1 (high smoothing)
- OFPI Length: 18-25 (disable volume amplification)
- Cascade Levels: 3-4, Theme: Crystalline
Timeframe Optimization
Scalping (1-5 minute charts):
- Reduce all lookback parameters by 30-40%
- Increase L-Function precision for noise reduction
- Enable all visual elements for maximum information
- Use Small dashboard to save screen space
Day Trading (15 minute - 1 hour):
- Use default parameters as starting point
- Adjust based on market volatility
- Normal dashboard provides optimal information density
- Focus on OFPI momentum shifts for entries
Swing Trading (4 hour - Daily):
- Increase lookback parameters by 30-50%
- Higher L-Function precision for stability
- Large dashboard for comprehensive analysis
- Emphasize HTF trend alignment
🏆 ADVANCED TRADING STRATEGIES
The Mathematical Confluence Method
1. Wait for Fractal Grid level approach
2. Confirm with projected L-Score > threshold
3. Verify OFPI alignment with direction
4. Enter on portal signal with quality ≥ STRONG
5. Exit on score deterioration or opposing flow
The Regime Trading System
1. Monitor Aether Flow background intensity
2. Trade aggressively during bright purple periods
3. Reduce position size during dark periods
4. Use Möbius Field strength for stop placement
5. Align with HTF trend for maximum probability
The OFPI Momentum Strategy
1. Watch for momentum shifting detection
2. Confirm with accelerating flow in direction
3. Enter on immediate portal signal
4. Scale out at Fibonacci levels
5. Exit on flow deceleration or reversal
⚠️ RISK MANAGEMENT INTEGRATION
Mathematical Position Sizing
- Use Galois Rank for volatility-adjusted sizing
- Möbius Field strength determines stop width
- Fractal Dimension guides maximum exposure
- OFPI momentum affects entry timing
Signal Quality Filtering
- Trade only STRONG or EXCEPTIONAL quality signals
- Increase position size with higher agreement levels
- Reduce risk during CHAOTIC Möbius field periods
- Respect HTF trend alignment for directional bias
🔬 DEVELOPMENT JOURNEY
Creating the LOMV was an extraordinary mathematical undertaking that pushed the boundaries of what's possible in technical analysis. This indicator almost didn't happen. The theoretical complexity nearly proved insurmountable.
The Mathematical Challenge
Implementing the Langlands Program required deep research into:
- Number theory and the Möbius function
- Riemann zeta function convergence properties
- L-function analytical continuation
- Galois representations in finite fields
The mathematical literature spans decades of pure mathematics research, requiring translation from abstract theory to practical market application.
The Computational Complexity
Operadic composition theory demanded:
- Category theory implementation in Pine Script
- Multi-dimensional array management for strategy composition
- Real-time democratic voting algorithms
- Performance optimization for complex calculations
The Integration Breakthrough
Bringing together three disparate mathematical frameworks required:
- Novel approaches to signal weighting and combination
- Revolutionary Order Flow Polarity Index development
- Advanced T3 smoothing implementation
- Balanced signal generation preventing directional bias
Months of intensive research culminated in breakthrough moments when the mathematics finally aligned with market reality. The result is an indicator that reveals market structure invisible to conventional analysis while maintaining practical trading utility.
🎯 PRACTICAL IMPLEMENTATION
Getting Started
1. Apply indicator with default settings
2. Select appropriate theme for your markets
3. Observe dashboard metrics during different market conditions
4. Practice signal identification without trading
5. Gradually adjust parameters based on observations
Signal Confirmation Process
- Never trade on score alone - verify quality rating
- Confirm OFPI alignment with intended direction
- Check fractal grid level proximity for timing
- Ensure Möbius field strength supports position size
- Validate against HTF trend for bias confirmation
Performance Monitoring
- Track win rate in dashboard for strategy assessment
- Monitor component contributions for optimization
- Adjust threshold based on desired signal frequency
- Document performance across different market regimes
🌟 UNIQUE INNOVATIONS
1. First Integration of Langlands Program mathematics with practical trading
2. Revolutionary OFPI with T3 smoothing and momentum detection
3. Operadic Composition using category theory for signal democracy
4. Dynamic Fractal Grid with projected L-Score calculations
5. Multi-Dimensional Visualization through morphism flow portals
6. Regime-Adaptive Background showing market energy intensity
7. Balanced Signal Generation preventing directional bias
8. Professional Dashboard with institutional-grade metrics
📚 EDUCATIONAL VALUE
The LOMV serves as both a practical trading tool and an educational gateway to advanced mathematics. Traders gain exposure to:
- Pure mathematics applications in markets
- Category theory and operadic composition
- Number theory through Möbius function implementation
- Harmonic analysis via L-function calculations
- Advanced signal processing through T3 smoothing
⚖️ RESPONSIBLE USAGE
This indicator represents advanced mathematical research applied to market analysis. While the underlying mathematics are rigorously implemented, markets remain inherently unpredictable.
Key Principles:
- Use as part of comprehensive trading strategy
- Implement proper risk management at all times
- Backtest thoroughly before live implementation
- Understand that past performance does not guarantee future results
- Never risk more than you can afford to lose
The mathematics reveal deep market structure, but successful trading requires discipline, patience, and sound risk management beyond any indicator.
🔮 CONCLUSION
The Langlands-Operadic Möbius Vortex represents a quantum leap forward in technical analysis, bringing PhD-level pure mathematics to practical trading while maintaining visual elegance and usability.
From the harmonic analysis of the Langlands Program to the democratic composition of operadic theory, from the number-theoretic precision of the Möbius function to the revolutionary Order Flow Polarity Index, every component works in mathematical harmony to reveal the hidden order within market chaos.
This is more than an indicator - it's a mathematical lens that transforms how you see and understand market structure.
Trade with mathematical precision. Trade with the LOMV.
*"Mathematics is the language with which God has written the universe." - Galileo Galilei*
*In markets, as in nature, profound mathematical beauty underlies apparent chaos. The LOMV reveals this hidden order.*
— Dskyz, Trade with insight. Trade with anticipation.
Canuck Trading Traders Strategy [Candle Entropy Edition]Canuck Trading Traders Strategy: A Unique Entropy-Based Day Trading System for Volatile Stocks
Overview
The Canuck Trading Traders Strategy is a custom, entropy-driven day trading system designed for high-volatility stocks like TSLA on short timeframes (e.g., 15m). At its core is CETP-Plus, a proprietary blended indicator that measures "order from chaos" in candle patterns using Shannon entropy, while embedding mathematical principles from EMA (recent weighting), RSI (momentum bias), ATR (volatility scaling), and ADX (trend strength) into a single score. This unique approach avoids layering multiple indicators, reducing complexity while improving timing for early trend detection and balanced long/short trades.
CETP-Plus calculates a score from weighted candle ratios (body, upper/lower wicks) binned into a 3D histogram for entropy (low entropy = strong pattern). The score is adjusted with momentum, volatility, and trend multipliers for robust signals. Entries occur when the score exceeds thresholds (positive for longs, negative for shorts), with exits on reversals or stops. The strategy is automatic—no manual bias needed—and optimized for margin accounts with equal long/short treatment.
Backtested on TSLA 15m (Jan 2015–Aug 2025), it targets +50,000% net profit (beating +1,478% buy-hold by 34x) with ~25,000 trades, 85-90% win rate, and <10% drawdown (with costs). Results vary by timeframe/period—test with your data and add slippage/commission for realism. Disclaimer: Past performance isn't indicative of future results; consult a financial advisor.
Key Features
CETP-Plus Indicator: Blends entropy with momentum/vol/trend for a single score, capturing bottoms/squeezes and trends without external tools.
Automatic Balance: Positive scores trigger longs in bull trends, negative scores trigger shorts in bear trends—no user input for direction.
Customizable Math: Tune weights and scales to adapt for different stocks (e.g., lower thresholds for NVDA's smoother trends).
Risk Controls: Stop-loss, trailing stops, and score strength filter to minimize drawdowns in volatile markets like TSLA.
Exit Debugging: Plots exit reasons ("Stop Loss", "Trail Stop", "CETP Exit") for analysis.
Input Settings and Purposes
All inputs are grouped in TradingView's Inputs tab for ease. Defaults are optimized for TSLA 15m day trading; adjust for other intervals or tickers (e.g., increase window for 1h, lower thresholds for NVDA).
CETP-Plus Settings
CETP Window (default: 5, min: 3, max: 20): Lookback bars for entropy/momentum. Short values (3-5) for fast sensitivity on short frames; longer (8-10) for stability on hourly+.
CETP Bins per Dimension (default: 3, min: 3, max: 10): Histogram granularity for entropy. Low (3) for speed/simple patterns; high (5+) for detail in complex markets.
Long Threshold (default: 0.15, min: 0.1, max: 0.8, step: 0.05): CETP score for long entries. Lower (0.1) for more longs in mild bull trends; higher (0.2) to filter noise.
Short Threshold (default: -0.05, min: -0.8, max: -0.1, step: 0.05): CETP score for short entries. Less negative (-0.05) for more shorts in mild bear trends; more negative (-0.2) for strong signals.
CETP Momentum Weight (default: 0.8, min: 0.1, max: 1.0, step: 0.1): Emphasizes momentum in score. High (0.9) for aggressive in fast moves; low (0.5) for entropy focus.
Momentum Scale (default: 1.6, min: 0.1, max: 2.0, step: 0.1): Amplifies momentum. High (2.0) for short intervals; low (1.0) for stability.
Body Ratio Weight (default: 1.2, min: 0.0, max: 2.0, step: 0.1): Weights candle body in entropy (trend focus). High (1.5) for strong trends; low (0.8) for wick emphasis.
Upper Wick Ratio Weight (default: 0.8, min: 0.0, max: 2.0, step: 0.1): Weights upper wick (reversal noise). Low (0.5) to reduce false ups.
Lower Wick Ratio Weight (default: 0.8, min: 0.0, max: 2.0, step=0.1): Weights lower wick. Low (0.5) to reduce false downs.
Trade Settings
Confirmation Bars (default: 0, min: 0, max: 5): Bars for sustained CETP signals. 0 for immediate entries (more trades); 1-2 for reliability (fewer but stronger).
Min CETP Score Strength (default: 0.04, min: 0.0, max: 0.5, step: 0.05): Min absolute score for entry. Low (0.04) for more trades; high (0.15) for quality.
Risk Management
Stop Loss (%) (default: 0.5, min: 0.1, max: 5.0, step: 0.1): % from entry for stop. Tight (0.4) for quick exits; wide (0.8) for trends.
ATR Multiplier (default: 1.5, min: 0.5, max: 3.0, step: 0.1): Scales ATR for stops/trails. Low (1.0) for tight; high (2.0) for room.
Trailing ATR Mult (default: 3.5, min: 0.5, max: 5.0, step: 0.1): ATR mult for trails. High (4.0) for longer holds; low (2.0) for profits.
Trail Start Offset (%) (default: 1.0, min: 0.5, max: 2.0, step: 0.1): % profit before trailing. Low (0.8) for early lock-in; high (1.5) for bigger moves.
These settings enable customization for intervals/tickers while CETP-Plus handles automatic balancing.
Risk Disclosure
Trading involves significant risk and may result in losses exceeding your initial capital. The Canuck Trading Trader Strategy is provided for educational and informational purposes only. Users are responsible for their own trading decisions and should conduct thorough testing before using in live markets. The strategy’s high trade frequency requires reliable execution infrastructure to minimize slippage and latency.
Tensor Market Analysis Engine (TMAE)# Tensor Market Analysis Engine (TMAE)
## Advanced Multi-Dimensional Mathematical Analysis System
*Where Quantum Mathematics Meets Market Structure*
---
## 🎓 THEORETICAL FOUNDATION
The Tensor Market Analysis Engine represents a revolutionary synthesis of three cutting-edge mathematical frameworks that have never before been combined for comprehensive market analysis. This indicator transcends traditional technical analysis by implementing advanced mathematical concepts from quantum mechanics, information theory, and fractal geometry.
### 🌊 Multi-Dimensional Volatility with Jump Detection
**Hawkes Process Implementation:**
The TMAE employs a sophisticated Hawkes process approximation for detecting self-exciting market jumps. Unlike traditional volatility measures that treat price movements as independent events, the Hawkes process recognizes that market shocks cluster and exhibit memory effects.
**Mathematical Foundation:**
```
Intensity λ(t) = μ + Σ α(t - Tᵢ)
```
Where market jumps at times Tᵢ increase the probability of future jumps through the decay function α, controlled by the Hawkes Decay parameter (0.5-0.99).
**Mahalanobis Distance Calculation:**
The engine calculates volatility jumps using multi-dimensional Mahalanobis distance across up to 5 volatility dimensions:
- **Dimension 1:** Price volatility (standard deviation of returns)
- **Dimension 2:** Volume volatility (normalized volume fluctuations)
- **Dimension 3:** Range volatility (high-low spread variations)
- **Dimension 4:** Correlation volatility (price-volume relationship changes)
- **Dimension 5:** Microstructure volatility (intrabar positioning analysis)
This creates a volatility state vector that captures market behavior impossible to detect with traditional single-dimensional approaches.
### 📐 Hurst Exponent Regime Detection
**Fractal Market Hypothesis Integration:**
The TMAE implements advanced Rescaled Range (R/S) analysis to calculate the Hurst exponent in real-time, providing dynamic regime classification:
- **H > 0.6:** Trending (persistent) markets - momentum strategies optimal
- **H < 0.4:** Mean-reverting (anti-persistent) markets - contrarian strategies optimal
- **H ≈ 0.5:** Random walk markets - breakout strategies preferred
**Adaptive R/S Analysis:**
Unlike static implementations, the TMAE uses adaptive windowing that adjusts to market conditions:
```
H = log(R/S) / log(n)
```
Where R is the range of cumulative deviations and S is the standard deviation over period n.
**Dynamic Regime Classification:**
The system employs hysteresis to prevent regime flipping, requiring sustained Hurst values before regime changes are confirmed. This prevents false signals during transitional periods.
### 🔄 Transfer Entropy Analysis
**Information Flow Quantification:**
Transfer entropy measures the directional flow of information between price and volume, revealing lead-lag relationships that indicate future price movements:
```
TE(X→Y) = Σ p(yₜ₊₁, yₜ, xₜ) log
```
**Causality Detection:**
- **Volume → Price:** Indicates accumulation/distribution phases
- **Price → Volume:** Suggests retail participation or momentum chasing
- **Balanced Flow:** Market equilibrium or transition periods
The system analyzes multiple lag periods (2-20 bars) to capture both immediate and structural information flows.
---
## 🔧 COMPREHENSIVE INPUT SYSTEM
### Core Parameters Group
**Primary Analysis Window (10-100, Default: 50)**
The fundamental lookback period affecting all calculations. Optimization by timeframe:
- **1-5 minute charts:** 20-30 (rapid adaptation to micro-movements)
- **15 minute-1 hour:** 30-50 (balanced responsiveness and stability)
- **4 hour-daily:** 50-100 (smooth signals, reduced noise)
- **Asset-specific:** Cryptocurrency 20-35, Stocks 35-50, Forex 40-60
**Signal Sensitivity (0.1-2.0, Default: 0.7)**
Master control affecting all threshold calculations:
- **Conservative (0.3-0.6):** High-quality signals only, fewer false positives
- **Balanced (0.7-1.0):** Optimal risk-reward ratio for most trading styles
- **Aggressive (1.1-2.0):** Maximum signal frequency, requires careful filtering
**Signal Generation Mode:**
- **Aggressive:** Any component signals (highest frequency)
- **Confluence:** 2+ components agree (balanced approach)
- **Conservative:** All 3 components align (highest quality)
### Volatility Jump Detection Group
**Volatility Dimensions (2-5, Default: 3)**
Determines the mathematical space complexity:
- **2D:** Price + Volume volatility (suitable for clean markets)
- **3D:** + Range volatility (optimal for most conditions)
- **4D:** + Correlation volatility (advanced multi-asset analysis)
- **5D:** + Microstructure volatility (maximum sensitivity)
**Jump Detection Threshold (1.5-4.0σ, Default: 3.0σ)**
Standard deviations required for volatility jump classification:
- **Cryptocurrency:** 2.0-2.5σ (naturally volatile)
- **Stock Indices:** 2.5-3.0σ (moderate volatility)
- **Forex Major Pairs:** 3.0-3.5σ (typically stable)
- **Commodities:** 2.0-3.0σ (varies by commodity)
**Jump Clustering Decay (0.5-0.99, Default: 0.85)**
Hawkes process memory parameter:
- **0.5-0.7:** Fast decay (jumps treated as independent)
- **0.8-0.9:** Moderate clustering (realistic market behavior)
- **0.95-0.99:** Strong clustering (crisis/event-driven markets)
### Hurst Exponent Analysis Group
**Calculation Method Options:**
- **Classic R/S:** Original Rescaled Range (fast, simple)
- **Adaptive R/S:** Dynamic windowing (recommended for trading)
- **DFA:** Detrended Fluctuation Analysis (best for noisy data)
**Trending Threshold (0.55-0.8, Default: 0.60)**
Hurst value defining persistent market behavior:
- **0.55-0.60:** Weak trend persistence
- **0.65-0.70:** Clear trending behavior
- **0.75-0.80:** Strong momentum regimes
**Mean Reversion Threshold (0.2-0.45, Default: 0.40)**
Hurst value defining anti-persistent behavior:
- **0.35-0.45:** Weak mean reversion
- **0.25-0.35:** Clear ranging behavior
- **0.15-0.25:** Strong reversion tendency
### Transfer Entropy Parameters Group
**Information Flow Analysis:**
- **Price-Volume:** Classic flow analysis for accumulation/distribution
- **Price-Volatility:** Risk flow analysis for sentiment shifts
- **Multi-Timeframe:** Cross-timeframe causality detection
**Maximum Lag (2-20, Default: 5)**
Causality detection window:
- **2-5 bars:** Immediate causality (scalping)
- **5-10 bars:** Short-term flow (day trading)
- **10-20 bars:** Structural flow (swing trading)
**Significance Threshold (0.05-0.3, Default: 0.15)**
Minimum entropy for signal generation:
- **0.05-0.10:** Detect subtle information flows
- **0.10-0.20:** Clear causality only
- **0.20-0.30:** Very strong flows only
---
## 🎨 ADVANCED VISUAL SYSTEM
### Tensor Volatility Field Visualization
**Five-Layer Resonance Bands:**
The tensor field creates dynamic support/resistance zones that expand and contract based on mathematical field strength:
- **Core Layer (Purple):** Primary tensor field with highest intensity
- **Layer 2 (Neutral):** Secondary mathematical resonance
- **Layer 3 (Info Blue):** Tertiary harmonic frequencies
- **Layer 4 (Warning Gold):** Outer field boundaries
- **Layer 5 (Success Green):** Maximum field extension
**Field Strength Calculation:**
```
Field Strength = min(3.0, Mahalanobis Distance × Tensor Intensity)
```
The field amplitude adjusts to ATR and mathematical distance, creating dynamic zones that respond to market volatility.
**Radiation Line Network:**
During active tensor states, the system projects directional radiation lines showing field energy distribution:
- **8 Directional Rays:** Complete angular coverage
- **Tapering Segments:** Progressive transparency for natural visual flow
- **Pulse Effects:** Enhanced visualization during volatility jumps
### Dimensional Portal System
**Portal Mathematics:**
Dimensional portals visualize regime transitions using category theory principles:
- **Green Portals (◉):** Trending regime detection (appear below price for support)
- **Red Portals (◎):** Mean-reverting regime (appear above price for resistance)
- **Yellow Portals (○):** Random walk regime (neutral positioning)
**Tensor Trail Effects:**
Each portal generates 8 trailing particles showing mathematical momentum:
- **Large Particles (●):** Strong mathematical signal
- **Medium Particles (◦):** Moderate signal strength
- **Small Particles (·):** Weak signal continuation
- **Micro Particles (˙):** Signal dissipation
### Information Flow Streams
**Particle Stream Visualization:**
Transfer entropy creates flowing particle streams indicating information direction:
- **Upward Streams:** Volume leading price (accumulation phases)
- **Downward Streams:** Price leading volume (distribution phases)
- **Stream Density:** Proportional to information flow strength
**15-Particle Evolution:**
Each stream contains 15 particles with progressive sizing and transparency, creating natural flow visualization that makes information transfer immediately apparent.
### Fractal Matrix Grid System
**Multi-Timeframe Fractal Levels:**
The system calculates and displays fractal highs/lows across five Fibonacci periods:
- **8-Period:** Short-term fractal structure
- **13-Period:** Intermediate-term patterns
- **21-Period:** Primary swing levels
- **34-Period:** Major structural levels
- **55-Period:** Long-term fractal boundaries
**Triple-Layer Visualization:**
Each fractal level uses three-layer rendering:
- **Shadow Layer:** Widest, darkest foundation (width 5)
- **Glow Layer:** Medium white core line (width 3)
- **Tensor Layer:** Dotted mathematical overlay (width 1)
**Intelligent Labeling System:**
Smart spacing prevents label overlap using ATR-based minimum distances. Labels include:
- **Fractal Period:** Time-based identification
- **Topological Class:** Mathematical complexity rating (0, I, II, III)
- **Price Level:** Exact fractal price
- **Mahalanobis Distance:** Current mathematical field strength
- **Hurst Exponent:** Current regime classification
- **Anomaly Indicators:** Visual strength representations (○ ◐ ● ⚡)
### Wick Pressure Analysis
**Rejection Level Mathematics:**
The system analyzes candle wick patterns to project future pressure zones:
- **Upper Wick Analysis:** Identifies selling pressure and resistance zones
- **Lower Wick Analysis:** Identifies buying pressure and support zones
- **Pressure Projection:** Extends lines forward based on mathematical probability
**Multi-Layer Glow Effects:**
Wick pressure lines use progressive transparency (1-8 layers) creating natural glow effects that make pressure zones immediately visible without cluttering the chart.
### Enhanced Regime Background
**Dynamic Intensity Mapping:**
Background colors reflect mathematical regime strength:
- **Deep Transparency (98% alpha):** Subtle regime indication
- **Pulse Intensity:** Based on regime strength calculation
- **Color Coding:** Green (trending), Red (mean-reverting), Neutral (random)
**Smoothing Integration:**
Regime changes incorporate 10-bar smoothing to prevent background flicker while maintaining responsiveness to genuine regime shifts.
### Color Scheme System
**Six Professional Themes:**
- **Dark (Default):** Professional trading environment optimization
- **Light:** High ambient light conditions
- **Classic:** Traditional technical analysis appearance
- **Neon:** High-contrast visibility for active trading
- **Neutral:** Minimal distraction focus
- **Bright:** Maximum visibility for complex setups
Each theme maintains mathematical accuracy while optimizing visual clarity for different trading environments and personal preferences.
---
## 📊 INSTITUTIONAL-GRADE DASHBOARD
### Tensor Field Status Section
**Field Strength Display:**
Real-time Mahalanobis distance calculation with dynamic emoji indicators:
- **⚡ (Lightning):** Extreme field strength (>1.5× threshold)
- **● (Solid Circle):** Strong field activity (>1.0× threshold)
- **○ (Open Circle):** Normal field state
**Signal Quality Rating:**
Democratic algorithm assessment:
- **ELITE:** All 3 components aligned (highest probability)
- **STRONG:** 2 components aligned (good probability)
- **GOOD:** 1 component active (moderate probability)
- **WEAK:** No clear component signals
**Threshold and Anomaly Monitoring:**
- **Threshold Display:** Current mathematical threshold setting
- **Anomaly Level (0-100%):** Combined volatility and volume spike measurement
- **>70%:** High anomaly (red warning)
- **30-70%:** Moderate anomaly (orange caution)
- **<30%:** Normal conditions (green confirmation)
### Tensor State Analysis Section
**Mathematical State Classification:**
- **↑ BULL (Tensor State +1):** Trending regime with bullish bias
- **↓ BEAR (Tensor State -1):** Mean-reverting regime with bearish bias
- **◈ SUPER (Tensor State 0):** Random walk regime (neutral)
**Visual State Gauge:**
Five-circle progression showing tensor field polarity:
- **🟢🟢🟢⚪⚪:** Strong bullish mathematical alignment
- **⚪⚪🟡⚪⚪:** Neutral/transitional state
- **⚪⚪🔴🔴🔴:** Strong bearish mathematical alignment
**Trend Direction and Phase Analysis:**
- **📈 BULL / 📉 BEAR / ➡️ NEUTRAL:** Primary trend classification
- **🌪️ CHAOS:** Extreme information flow (>2.0 flow strength)
- **⚡ ACTIVE:** Strong information flow (1.0-2.0 flow strength)
- **😴 CALM:** Low information flow (<1.0 flow strength)
### Trading Signals Section
**Real-Time Signal Status:**
- **🟢 ACTIVE / ⚪ INACTIVE:** Long signal availability
- **🔴 ACTIVE / ⚪ INACTIVE:** Short signal availability
- **Components (X/3):** Active algorithmic components
- **Mode Display:** Current signal generation mode
**Signal Strength Visualization:**
Color-coded component count:
- **Green:** 3/3 components (maximum confidence)
- **Aqua:** 2/3 components (good confidence)
- **Orange:** 1/3 components (moderate confidence)
- **Gray:** 0/3 components (no signals)
### Performance Metrics Section
**Win Rate Monitoring:**
Estimated win rates based on signal quality with emoji indicators:
- **🔥 (Fire):** ≥60% estimated win rate
- **👍 (Thumbs Up):** 45-59% estimated win rate
- **⚠️ (Warning):** <45% estimated win rate
**Mathematical Metrics:**
- **Hurst Exponent:** Real-time fractal dimension (0.000-1.000)
- **Information Flow:** Volume/price leading indicators
- **📊 VOL:** Volume leading price (accumulation/distribution)
- **💰 PRICE:** Price leading volume (momentum/speculation)
- **➖ NONE:** Balanced information flow
- **Volatility Classification:**
- **🔥 HIGH:** Above 1.5× jump threshold
- **📊 NORM:** Normal volatility range
- **😴 LOW:** Below 0.5× jump threshold
### Market Structure Section (Large Dashboard)
**Regime Classification:**
- **📈 TREND:** Hurst >0.6, momentum strategies optimal
- **🔄 REVERT:** Hurst <0.4, contrarian strategies optimal
- **🎲 RANDOM:** Hurst ≈0.5, breakout strategies preferred
**Mathematical Field Analysis:**
- **Dimensions:** Current volatility space complexity (2D-5D)
- **Hawkes λ (Lambda):** Self-exciting jump intensity (0.00-1.00)
- **Jump Status:** 🚨 JUMP (active) / ✅ NORM (normal)
### Settings Summary Section (Large Dashboard)
**Active Configuration Display:**
- **Sensitivity:** Current master sensitivity setting
- **Lookback:** Primary analysis window
- **Theme:** Active color scheme
- **Method:** Hurst calculation method (Classic R/S, Adaptive R/S, DFA)
**Dashboard Sizing Options:**
- **Small:** Essential metrics only (mobile/small screens)
- **Normal:** Balanced information density (standard desktop)
- **Large:** Maximum detail (multi-monitor setups)
**Position Options:**
- **Top Right:** Standard placement (avoids price action)
- **Top Left:** Wide chart optimization
- **Bottom Right:** Recent price focus (scalping)
- **Bottom Left:** Maximum price visibility (swing trading)
---
## 🎯 SIGNAL GENERATION LOGIC
### Multi-Component Convergence System
**Component Signal Architecture:**
The TMAE generates signals through sophisticated component analysis rather than simple threshold crossing:
**Volatility Component:**
- **Jump Detection:** Mahalanobis distance threshold breach
- **Hawkes Intensity:** Self-exciting process activation (>0.2)
- **Multi-dimensional:** Considers all volatility dimensions simultaneously
**Hurst Regime Component:**
- **Trending Markets:** Price above SMA-20 with positive momentum
- **Mean-Reverting Markets:** Price at Bollinger Band extremes
- **Random Markets:** Bollinger squeeze breakouts with directional confirmation
**Transfer Entropy Component:**
- **Volume Leadership:** Information flow from volume to price
- **Volume Spike:** Volume 110%+ above 20-period average
- **Flow Significance:** Above entropy threshold with directional bias
### Democratic Signal Weighting
**Signal Mode Implementation:**
- **Aggressive Mode:** Any single component triggers signal
- **Confluence Mode:** Minimum 2 components must agree
- **Conservative Mode:** All 3 components must align
**Momentum Confirmation:**
All signals require momentum confirmation:
- **Long Signals:** RSI >50 AND price >EMA-9
- **Short Signals:** RSI <50 AND price 0.6):**
- **Increase Sensitivity:** Catch momentum continuation
- **Lower Mean Reversion Threshold:** Avoid counter-trend signals
- **Emphasize Volume Leadership:** Institutional accumulation/distribution
- **Tensor Field Focus:** Use expansion for trend continuation
- **Signal Mode:** Aggressive or Confluence for trend following
**Range-Bound Markets (Hurst <0.4):**
- **Decrease Sensitivity:** Avoid false breakouts
- **Lower Trending Threshold:** Quick regime recognition
- **Focus on Price Leadership:** Retail sentiment extremes
- **Fractal Grid Emphasis:** Support/resistance trading
- **Signal Mode:** Conservative for high-probability reversals
**Volatile Markets (High Jump Frequency):**
- **Increase Hawkes Decay:** Recognize event clustering
- **Higher Jump Threshold:** Avoid noise signals
- **Maximum Dimensions:** Capture full volatility complexity
- **Reduce Position Sizing:** Risk management adaptation
- **Enhanced Visuals:** Maximum information for rapid decisions
**Low Volatility Markets (Low Jump Frequency):**
- **Decrease Jump Threshold:** Capture subtle movements
- **Lower Hawkes Decay:** Treat moves as independent
- **Reduce Dimensions:** Simplify analysis
- **Increase Position Sizing:** Capitalize on compressed volatility
- **Minimal Visuals:** Reduce distraction in quiet markets
---
## 🚀 ADVANCED TRADING STRATEGIES
### The Mathematical Convergence Method
**Entry Protocol:**
1. **Fractal Grid Approach:** Monitor price approaching significant fractal levels
2. **Tensor Field Confirmation:** Verify field expansion supporting direction
3. **Portal Signal:** Wait for dimensional portal appearance
4. **ELITE/STRONG Quality:** Only trade highest quality mathematical signals
5. **Component Consensus:** Confirm 2+ components agree in Confluence mode
**Example Implementation:**
- Price approaching 21-period fractal high
- Tensor field expanding upward (bullish mathematical alignment)
- Green portal appears below price (trending regime confirmation)
- ELITE quality signal with 3/3 components active
- Enter long position with stop below fractal level
**Risk Management:**
- **Stop Placement:** Below/above fractal level that generated signal
- **Position Sizing:** Based on Mahalanobis distance (higher distance = smaller size)
- **Profit Targets:** Next fractal level or tensor field resistance
### The Regime Transition Strategy
**Regime Change Detection:**
1. **Monitor Hurst Exponent:** Watch for persistent moves above/below thresholds
2. **Portal Color Change:** Regime transitions show different portal colors
3. **Background Intensity:** Increasing regime background intensity
4. **Mathematical Confirmation:** Wait for regime confirmation (hysteresis)
**Trading Implementation:**
- **Trending Transitions:** Trade momentum breakouts, follow trend
- **Mean Reversion Transitions:** Trade range boundaries, fade extremes
- **Random Transitions:** Trade breakouts with tight stops
**Advanced Techniques:**
- **Multi-Timeframe:** Confirm regime on higher timeframe
- **Early Entry:** Enter on regime transition rather than confirmation
- **Regime Strength:** Larger positions during strong regime signals
### The Information Flow Momentum Strategy
**Flow Detection Protocol:**
1. **Monitor Transfer Entropy:** Watch for significant information flow shifts
2. **Volume Leadership:** Strong edge when volume leads price
3. **Flow Acceleration:** Increasing flow strength indicates momentum
4. **Directional Confirmation:** Ensure flow aligns with intended trade direction
**Entry Signals:**
- **Volume → Price Flow:** Enter during accumulation/distribution phases
- **Price → Volume Flow:** Enter on momentum confirmation breaks
- **Flow Reversal:** Counter-trend entries when flow reverses
**Optimization:**
- **Scalping:** Use immediate flow detection (2-5 bar lag)
- **Swing Trading:** Use structural flow (10-20 bar lag)
- **Multi-Asset:** Compare flow between correlated assets
### The Tensor Field Expansion Strategy
**Field Mathematics:**
The tensor field expansion indicates mathematical pressure building in market structure:
**Expansion Phases:**
1. **Compression:** Field contracts, volatility decreases
2. **Tension Building:** Mathematical pressure accumulates
3. **Expansion:** Field expands rapidly with directional movement
4. **Resolution:** Field stabilizes at new equilibrium
**Trading Applications:**
- **Compression Trading:** Prepare for breakout during field contraction
- **Expansion Following:** Trade direction of field expansion
- **Reversion Trading:** Fade extreme field expansion
- **Multi-Dimensional:** Consider all field layers for confirmation
### The Hawkes Process Event Strategy
**Self-Exciting Jump Trading:**
Understanding that market shocks cluster and create follow-on opportunities:
**Jump Sequence Analysis:**
1. **Initial Jump:** First volatility jump detected
2. **Clustering Phase:** Hawkes intensity remains elevated
3. **Follow-On Opportunities:** Additional jumps more likely
4. **Decay Period:** Intensity gradually decreases
**Implementation:**
- **Jump Confirmation:** Wait for mathematical jump confirmation
- **Direction Assessment:** Use other components for direction
- **Clustering Trades:** Trade subsequent moves during high intensity
- **Decay Exit:** Exit positions as Hawkes intensity decays
### The Fractal Confluence System
**Multi-Timeframe Fractal Analysis:**
Combining fractal levels across different periods for high-probability zones:
**Confluence Zones:**
- **Double Confluence:** 2 fractal levels align
- **Triple Confluence:** 3+ fractal levels cluster
- **Mathematical Confirmation:** Tensor field supports the level
- **Information Flow:** Transfer entropy confirms direction
**Trading Protocol:**
1. **Identify Confluence:** Find 2+ fractal levels within 1 ATR
2. **Mathematical Support:** Verify tensor field alignment
3. **Signal Quality:** Wait for STRONG or ELITE signal
4. **Risk Definition:** Use fractal level for stop placement
5. **Profit Targeting:** Next major fractal confluence zone
---
## ⚠️ COMPREHENSIVE RISK MANAGEMENT
### Mathematical Position Sizing
**Mahalanobis Distance Integration:**
Position size should inversely correlate with mathematical field strength:
```
Position Size = Base Size × (Threshold / Mahalanobis Distance)
```
**Risk Scaling Matrix:**
- **Low Field Strength (<2.0):** Standard position sizing
- **Moderate Field Strength (2.0-3.0):** 75% position sizing
- **High Field Strength (3.0-4.0):** 50% position sizing
- **Extreme Field Strength (>4.0):** 25% position sizing or no trade
### Signal Quality Risk Adjustment
**Quality-Based Position Sizing:**
- **ELITE Signals:** 100% of planned position size
- **STRONG Signals:** 75% of planned position size
- **GOOD Signals:** 50% of planned position size
- **WEAK Signals:** No position or paper trading only
**Component Agreement Scaling:**
- **3/3 Components:** Full position size
- **2/3 Components:** 75% position size
- **1/3 Components:** 50% position size or skip trade
### Regime-Adaptive Risk Management
**Trending Market Risk:**
- **Wider Stops:** Allow for trend continuation
- **Trend Following:** Trade with regime direction
- **Higher Position Size:** Trend probability advantage
- **Momentum Stops:** Trail stops based on momentum indicators
**Mean-Reverting Market Risk:**
- **Tighter Stops:** Quick exits on trend continuation
- **Contrarian Positioning:** Trade against extremes
- **Smaller Position Size:** Higher reversal failure rate
- **Level-Based Stops:** Use fractal levels for stops
**Random Market Risk:**
- **Breakout Focus:** Trade only clear breakouts
- **Tight Initial Stops:** Quick exit if breakout fails
- **Reduced Frequency:** Skip marginal setups
- **Range-Based Targets:** Profit targets at range boundaries
### Volatility-Adaptive Risk Controls
**High Volatility Periods:**
- **Reduced Position Size:** Account for wider price swings
- **Wider Stops:** Avoid noise-based exits
- **Lower Frequency:** Skip marginal setups
- **Faster Exits:** Take profits more quickly
**Low Volatility Periods:**
- **Standard Position Size:** Normal risk parameters
- **Tighter Stops:** Take advantage of compressed ranges
- **Higher Frequency:** Trade more setups
- **Extended Targets:** Allow for compressed volatility expansion
### Multi-Timeframe Risk Alignment
**Higher Timeframe Trend:**
- **With Trend:** Standard or increased position size
- **Against Trend:** Reduced position size or skip
- **Neutral Trend:** Standard position size with tight management
**Risk Hierarchy:**
1. **Primary:** Current timeframe signal quality
2. **Secondary:** Higher timeframe trend alignment
3. **Tertiary:** Mathematical field strength
4. **Quaternary:** Market regime classification
---
## 📚 EDUCATIONAL VALUE AND MATHEMATICAL CONCEPTS
### Advanced Mathematical Concepts
**Tensor Analysis in Markets:**
The TMAE introduces traders to tensor analysis, a branch of mathematics typically reserved for physics and advanced engineering. Tensors provide a framework for understanding multi-dimensional market relationships that scalar and vector analysis cannot capture.
**Information Theory Applications:**
Transfer entropy implementation teaches traders about information flow in markets, a concept from information theory that quantifies directional causality between variables. This provides intuition about market microstructure and participant behavior.
**Fractal Geometry in Trading:**
The Hurst exponent calculation exposes traders to fractal geometry concepts, helping understand that markets exhibit self-similar patterns across multiple timeframes. This mathematical insight transforms how traders view market structure.
**Stochastic Process Theory:**
The Hawkes process implementation introduces concepts from stochastic process theory, specifically self-exciting point processes. This provides mathematical framework for understanding why market events cluster and exhibit memory effects.
### Learning Progressive Complexity
**Beginner Mathematical Concepts:**
- **Volatility Dimensions:** Understanding multi-dimensional analysis
- **Regime Classification:** Learning market personality types
- **Signal Democracy:** Algorithmic consensus building
- **Visual Mathematics:** Interpreting mathematical concepts visually
**Intermediate Mathematical Applications:**
- **Mahalanobis Distance:** Statistical distance in multi-dimensional space
- **Rescaled Range Analysis:** Fractal dimension measurement
- **Information Entropy:** Quantifying uncertainty and causality
- **Field Theory:** Understanding mathematical fields in market context
**Advanced Mathematical Integration:**
- **Tensor Field Dynamics:** Multi-dimensional market force analysis
- **Stochastic Self-Excitation:** Event clustering and memory effects
- **Categorical Composition:** Mathematical signal combination theory
- **Topological Market Analysis:** Understanding market shape and connectivity
### Practical Mathematical Intuition
**Developing Market Mathematics Intuition:**
The TMAE serves as a bridge between abstract mathematical concepts and practical trading applications. Traders develop intuitive understanding of:
- **How markets exhibit mathematical structure beneath apparent randomness**
- **Why multi-dimensional analysis reveals patterns invisible to single-variable approaches**
- **How information flows through markets in measurable, predictable ways**
- **Why mathematical models provide probabilistic edges rather than certainties**
---
## 🔬 IMPLEMENTATION AND OPTIMIZATION
### Getting Started Protocol
**Phase 1: Observation (Week 1)**
1. **Apply with defaults:** Use standard settings on your primary trading timeframe
2. **Study visual elements:** Learn to interpret tensor fields, portals, and streams
3. **Monitor dashboard:** Observe how metrics change with market conditions
4. **No trading:** Focus entirely on pattern recognition and understanding
**Phase 2: Pattern Recognition (Week 2-3)**
1. **Identify signal patterns:** Note what market conditions produce different signal qualities
2. **Regime correlation:** Observe how Hurst regimes affect signal performance
3. **Visual confirmation:** Learn to read tensor field expansion and portal signals
4. **Component analysis:** Understand which components drive signals in different markets
**Phase 3: Parameter Optimization (Week 4-5)**
1. **Asset-specific tuning:** Adjust parameters for your specific trading instrument
2. **Timeframe optimization:** Fine-tune for your preferred trading timeframe
3. **Sensitivity adjustment:** Balance signal frequency with quality
4. **Visual customization:** Optimize colors and intensity for your trading environment
**Phase 4: Live Implementation (Week 6+)**
1. **Paper trading:** Test signals with hypothetical trades
2. **Small position sizing:** Begin with minimal risk during learning phase
3. **Performance tracking:** Monitor actual vs. expected signal performance
4. **Continuous optimization:** Refine settings based on real performance data
### Performance Monitoring System
**Signal Quality Tracking:**
- **ELITE Signal Win Rate:** Track highest quality signals separately
- **Component Performance:** Monitor which components provide best signals
- **Regime Performance:** Analyze performance across different market regimes
- **Timeframe Analysis:** Compare performance across different session times
**Mathematical Metric Correlation:**
- **Field Strength vs. Performance:** Higher field strength should correlate with better performance
- **Component Agreement vs. Win Rate:** More component agreement should improve win rates
- **Regime Alignment vs. Success:** Trading with mathematical regime should outperform
### Continuous Optimization Process
**Monthly Review Protocol:**
1. **Performance Analysis:** Review win rates, profit factors, and maximum drawdown
2. **Parameter Assessment:** Evaluate if current settings remain optimal
3. **Market Adaptation:** Adjust for changes in market character or volatility
4. **Component Weighting:** Consider if certain components should receive more/less emphasis
**Quarterly Deep Analysis:**
1. **Mathematical Model Validation:** Verify that mathematical relationships remain valid
2. **Regime Distribution:** Analyze time spent in different market regimes
3. **Signal Evolution:** Track how signal characteristics change over time
4. **Correlation Analysis:** Monitor correlations between different mathematical components
---
## 🌟 UNIQUE INNOVATIONS AND CONTRIBUTIONS
### Revolutionary Mathematical Integration
**First-Ever Implementations:**
1. **Multi-Dimensional Volatility Tensor:** First indicator to implement true tensor analysis for market volatility
2. **Real-Time Hawkes Process:** First trading implementation of self-exciting point processes
3. **Transfer Entropy Trading Signals:** First practical application of information theory for trade generation
4. **Democratic Component Voting:** First algorithmic consensus system for signal generation
5. **Fractal-Projected Signal Quality:** First system to predict signal quality at future price levels
### Advanced Visualization Innovations
**Mathematical Visualization Breakthroughs:**
- **Tensor Field Radiation:** Visual representation of mathematical field energy
- **Dimensional Portal System:** Category theory visualization for regime transitions
- **Information Flow Streams:** Real-time visual display of market information transfer
- **Multi-Layer Fractal Grid:** Intelligent spacing and projection system
- **Regime Intensity Mapping:** Dynamic background showing mathematical regime strength
### Practical Trading Innovations
**Trading System Advances:**
- **Quality-Weighted Signal Generation:** Signals rated by mathematical confidence
- **Regime-Adaptive Strategy Selection:** Automatic strategy optimization based on market personality
- **Anti-Spam Signal Protection:** Mathematical prevention of signal clustering
- **Component Performance Tracking:** Real-time monitoring of algorithmic component success
- **Field-Strength Position Sizing:** Mathematical volatility integration for risk management
---
## ⚖️ RESPONSIBLE USAGE AND LIMITATIONS
### Mathematical Model Limitations
**Understanding Model Boundaries:**
While the TMAE implements sophisticated mathematical concepts, traders must understand fundamental limitations:
- **Markets Are Not Purely Mathematical:** Human psychology, news events, and fundamental factors create unpredictable elements
- **Past Performance Limitations:** Mathematical relationships that worked historically may not persist indefinitely
- **Model Risk:** Complex models can fail during unprecedented market conditions
- **Overfitting Potential:** Highly optimized parameters may not generalize to future market conditions
### Proper Implementation Guidelines
**Risk Management Requirements:**
- **Never Risk More Than 2% Per Trade:** Regardless of signal quality
- **Diversification Mandatory:** Don't rely solely on mathematical signals
- **Position Sizing Discipline:** Use mathematical field strength for sizing, not confidence
- **Stop Loss Non-Negotiable:** Every trade must have predefined risk parameters
**Realistic Expectations:**
- **Mathematical Edge, Not Certainty:** The indicator provides probabilistic advantages, not guaranteed outcomes
- **Learning Curve Required:** Complex mathematical concepts require time to master
- **Market Adaptation Necessary:** Parameters must evolve with changing market conditions
- **Continuous Education Important:** Understanding underlying mathematics improves application
### Ethical Trading Considerations
**Market Impact Awareness:**
- **Information Asymmetry:** Advanced mathematical analysis may provide advantages over other market participants
- **Position Size Responsibility:** Large positions based on mathematical signals can impact market structure
- **Sharing Knowledge:** Consider educational contributions to trading community
- **Fair Market Participation:** Use mathematical advantages responsibly within market framework
### Professional Development Path
**Skill Development Sequence:**
1. **Basic Mathematical Literacy:** Understand fundamental concepts before advanced application
2. **Risk Management Mastery:** Develop disciplined risk control before relying on complex signals
3. **Market Psychology Understanding:** Combine mathematical analysis with behavioral market insights
4. **Continuous Learning:** Stay updated on mathematical finance developments and market evolution
---
## 🔮 CONCLUSION
The Tensor Market Analysis Engine represents a quantum leap forward in technical analysis, successfully bridging the gap between advanced pure mathematics and practical trading applications. By integrating multi-dimensional volatility analysis, fractal market theory, and information flow dynamics, the TMAE reveals market structure invisible to conventional analysis while maintaining visual clarity and practical usability.
### Mathematical Innovation Legacy
This indicator establishes new paradigms in technical analysis:
- **Tensor analysis for market volatility understanding**
- **Stochastic self-excitation for event clustering prediction**
- **Information theory for causality-based trade generation**
- **Democratic algorithmic consensus for signal quality enhancement**
- **Mathematical field visualization for intuitive market understanding**
### Practical Trading Revolution
Beyond mathematical innovation, the TMAE transforms practical trading:
- **Quality-rated signals replace binary buy/sell decisions**
- **Regime-adaptive strategies automatically optimize for market personality**
- **Multi-dimensional risk management integrates mathematical volatility measures**
- **Visual mathematical concepts make complex analysis immediately interpretable**
- **Educational value creates lasting improvement in trading understanding**
### Future-Proof Design
The mathematical foundations ensure lasting relevance:
- **Universal mathematical principles transcend market evolution**
- **Multi-dimensional analysis adapts to new market structures**
- **Regime detection automatically adjusts to changing market personalities**
- **Component democracy allows for future algorithmic additions**
- **Mathematical visualization scales with increasing market complexity**
### Commitment to Excellence
The TMAE represents more than an indicator—it embodies a philosophy of bringing rigorous mathematical analysis to trading while maintaining practical utility and visual elegance. Every component, from the multi-dimensional tensor fields to the democratic signal generation, reflects a commitment to mathematical accuracy, trading practicality, and educational value.
### Trading with Mathematical Precision
In an era where markets grow increasingly complex and computational, the TMAE provides traders with mathematical tools previously available only to institutional quantitative research teams. Yet unlike academic mathematical models, the TMAE translates complex concepts into intuitive visual representations and practical trading signals.
By combining the mathematical rigor of tensor analysis, the statistical power of multi-dimensional volatility modeling, and the information-theoretic insights of transfer entropy, traders gain unprecedented insight into market structure and dynamics.
### Final Perspective
Markets, like nature, exhibit profound mathematical beauty beneath apparent chaos. The Tensor Market Analysis Engine serves as a mathematical lens that reveals this hidden order, transforming how traders perceive and interact with market structure.
Through mathematical precision, visual elegance, and practical utility, the TMAE empowers traders to see beyond the noise and trade with the confidence that comes from understanding the mathematical principles governing market behavior.
Trade with mathematical insight. Trade with the power of tensors. Trade with the TMAE.
*"In mathematics, you don't understand things. You just get used to them." - John von Neumann*
*With the TMAE, mathematical market understanding becomes not just possible, but intuitive.*
— Dskyz, Trade with insight. Trade with anticipation.
Ichimoku Score Indicator [tanayroy]The Ichimoku Cloud is a comprehensive indicator that provides a clear view of market states through five key components. By analyzing the interaction between these components and the asset's price, traders can gain insights into trend direction, momentum, and potential reversals.
Introducing the Ichimoku Score System
I have developed a scoring system that quantifies these interactions, offering an objective method to evaluate market conditions. The score is calculated based on the relative positioning of Ichimoku components, with adjustable weightings via user input.
Scoring Criteria
Each component contributes to the overall score as follows:
Price vs. Cloud (Kumo) & Other Components
Price vs. Kumo → 2 Points
Price vs. Kumo Shadow → 0.5 Points
Tenkan vs. Kijun
Tenkan vs. Kijun → 2 Points
Tenkan vs. Kumo → 0.5 Points
Kijun vs. Kumo → 0.5 Points
Tenkan Slope → 0.5 Points
Kijun Slope → 0.5 Points
Chikou Span Interactions
Price vs. Chikou → 2 Points
Chikou vs. Kumo → 0.5 Points
Chikou Consolidation → 0.5 Points
Senkou Span Analysis
Senkou A vs. Senkou B → 2 Points
Senkou Slope → 0.5 Points
Price vs. Key Levels
Price vs. Tenkan → 2 Points
Price vs. Kijun → 2 Points
Interpreting the Score
The aggregate score functions as an oscillator, fluctuating between a range of ±16.0.
A higher score indicates strong bullish momentum.
A lower score suggests bearish market conditions.
To enhance readability and smooth fluctuations, a 9-period SMA is applied to the score.
Application in Algorithmic Trading
This scoring system helps integrate Ichimoku Cloud principles into algorithmic trading strategies by providing a structured and quantifiable method for assessing market conditions.
Would love to hear your feedback! 🚀 Let me know how this system works for you.
Kaufman Efficiency Ratio-Based Risk PercentageOVERVIEW
The Kaufman Efficiency Ratio-Based Exposure Management indicator uses the Kaufman Efficiency Ratio (KER) to calculate how much you should risk per trade.
If KER is high, then the indicator will tell you to risk more per trade.
A high KER value indicates a trending market, so if you are a trend trader, it makes sense to risk more during these times.
If KER is low, then the indicator will tell you to risk less per trade.
A low KER value indicates a trending market, so if you are a trend trader, it makes sense to risk less during these times.
CONCEPTS
The Kaufman Efficiency Ratio (also known as the Efficiency Ratio, KER, or ER) is a separate indicator developed by Perry J. Kaufman and first published in Kaufman's book, "New Trading Systems and Methods" in 1987.
The KER used to measure the efficiency of a financial instrument's price movement. It is calculated as follows:
KER = (change in price over x bars) / (sum of absolute price changes over x bars)
The first part of the formula, "change in price over x bars" measures the difference between the current close price and the close price x bars ago. The second part of the formula "sum of absolute price changes over x bars" measures the sum of the |open-close| range of each bar between now and x bars ago.
If there is a high change in price over x bars relative to the sum of absolute price changes over x bars, a trending/volatile market is likely in place.
If there is a low change in price over x bars relative to the sum of absolute price changes over x bars, a ranging/choppy market is likely in place.
If you are a trend trader, you can assume that entries taken during high KER periods are more likely to lead to a trend. This indicator helps capitalize on that assumption by increasing risk % per trade during high KER periods, and decreasing risk % per trade during low KER periods.
It uses the following formulas to calculate a KER-adjusted risk % per trade:
Linearly-increasing risk % = min risk + (KER * (max risk - min risk))
Exponentially-increasing risk % = min risk + ((KER^n) * (max risk - min risk))
min risk = the smallest amount you'd be willing to risk on a trade
max risk = the largest amount you'd be willing to risk on a trade
KER = the current Kaufman Efficiency Ratio value
n = an exponent factor used to control the rate of increase of the risk %
Here is an example of how these formulas work:
Assuming that min risk is 0.5%, max risk is 2%, and KER is 0.8 (indicating a trending market), we can calculate the following risk per trade amounts:
Linearly-increasing risk % = 0.5 + (0.8 * (2 - 0.5)) = 1.7%
Exponentially-increasing risk % = 0.5 + ((0.8^3) * (2 - 0.5)) = 1.27%
Now, lets do the same calculations with a lower KER of 0.2 , which indicates a choppy market:
Linearly-increasing risk % = 0.5 + (0.2 * (2 - 0.5)) = 0.8%
Exponentially-increasing risk % = 0.5 + ((0.2^3) * (2 - 0.5)) = 0.51%
With a high KER, we risk more per trade to capitalize on the higher chance of a trending market. With a lower KER, we risk less per trade to protect ourselves from the higher chance of a choppy market.
Hurst Exponent Trend filterHello Traders !!
Hurst Exponent Trend filter utalises the Hurst Exponent and VAWMA (one of my other unique indicators - check my script publishings to use) to categorise the market and decide whether its Trending, H > 0.5, In random Geometric Brownian Motion (GBM) H = 0.5 or Mean reverting (Contrarian), H < 0.5, When Trending a Trend following indicator -The VAWMA- is color highlighted, By doing so, theoreticaly price noise is eleimnated leaving statsitcaly true zones of price action Trend.
What is The Hurst Exponent ?
Developed by The Hydrologist Edwin Harlod Hurst, The Hurst Exponent measures auto correlation in time series sets, Its first applicartions were in the natural world, e.g. in measureing the volume of water in a river.
Although since then it has had applications in Finance, this may be largly due to autocorrelation functions being usefull tools in univaritae time series anaylyis.
The Hurst Exponent (H) aims to segment the market into three differnet states, Trending (H > 0.5), Random Geometric Brownian Motion (H = 0.5) and Mean Reverting / Contrarian (H < 0.5). In my interpritation this can be used as a trend filter that iliminates market noise, which may be achived by only focusing on trending zones.
How to Interprit the Indicator :
Focusing on the Above image, When H > 0.5 A trend is presnet, to decide the directional bias, both VAWMA`s position is checked, given the fast VAWMA > slow VAWMA and the current close > the fast VAWMA a bulish bias is present, signafied by a vibrant green fill between the fast VAWMA and price action. note the exact opposite logic for a bearish bias and H > 0.5 (signafied by a vibrant red fill). .
I will continue to update this Trading Indicator.
PS : Thats given I can hopfully remmember
Happy Trading !!
Correlation Table by VanHelsingCorrelation Table by VanHelsing
Explanation:
So we have three asset with correlation to current asset which is a BTC, also you can use it for ETH
But why only three assets? Because this one fits the best to identify a trend of BTC.
By using let's say a GOLD this table will be far away from accuracy then this three Nasdaq, ES1!(S&P500), DXY the best one for this.
Inside a script we have kama's
(Developed by Perry Kaufman, Kaufman's Adaptive Moving Average (KAMA) is a moving average designed to account for market noise or volatility. KAMA will closely follow prices when the price swings are relatively small and the noise is low. KAMA will adjust when the price swings widen and follow prices from a greater distance. This trend-following indicator can be used to identify the overall trend, time turning points and filter price movements.)
Now you know that KAMA is good solution for fast reaction of trend change and following it.
Now we have three assets with correlation to BTC and three kama's for them to know which trend is there.
Good!
What next?
Next is a scoring for up trend and down trend for BTC
For Understanding I will use DXY and BTC correlation
Lets consider that DXY is moving down and kama detected it,
we have down trend on DXY. How we can score it for BTC buy or sell?
Down trend DXY and negaive correlation to BTC lets say -0.5
In this way it scoring it like 0.5 for buy BTC, because if DXY moving down it means BTC moving up because of negative correlation.
Lets say DXY moving up and correlation with BTC is again -0.5
then what? It scoring -0.5 for sell BTC because since DXY moves up and correlation is negative BTC should move down.
Okay again what if DXY moving up and correlation is positive 0.5?
Then BTC is 0.5 for buy
What if DXY down correlation 0.5? Then BTC score for sell is -0.5
In first look it seems litle bit complicated, but actually it is not, it just take a time for understand. Hope you Enjoy this lesson and hope you will enjoy this indicator!
How to read a table:
Describtion about minimalistic mode
Fade-in Options [Loxx]A fade-in call has the same payoff as a standard call except the size of the payoff is weighted by how many fixings the asset price were inside a predefined range (L, U). If the asset price is inside the range for every fixing, the payoff will be identical to a plain vanilla option. More precisely, for a call option, the payoff will be max(S(T) - X, 0) X 1/n Sum(n(i)), where n is the total number of fixings and n(i) = 1 if at fixing i the asset price is inside the range, and n(i) = 0 otherwise. Similarly, for a put, the payoff is max(X - S(T), 0) X 1/n Sum(n(i)).
Brockhaus, Ferraris, Gallus, Long, Martin, and Overhaus (1999) describe a closed-form formula for fade-in options. For a call the value is given by
max(X - S(T), 0) X 1/n Sum(n(i))
describe a closed-form formula for fade-in options. For a call the value is given by
c = 1/n * Sum(S^((b-r)*T) * (M(-d5, d1; -p) - M(-d3, d1; -p)) - Xe^(-rT) * (M(-d6, d2; -p) - M(-d4, d2; -p))
where n is the number of fixings, p = (t1^0.5/T^0.5), t1 = iT/n
d1 = (log(S/X) + (b + v^2/2)*T) / (v * T^0.5) ... d2 = d1 - v*T^0.5
d3 = (log(S/L) + (b + v^2/2)*t1) / (v * t1^0.5) ... d4 = d3 - v*t1^0.5
d5 = (log(S/U) + (b + v^2/2)*t1) / (v * t1^0.5) ... d6 = d5 - v*t1^0.5
The value of a put is similarly
p = 1/n * Sum(Xe^(-rT) * (M(-d6, -d2; -p) - M(-d4, -d2; -p))) - S^((b-r)*T) * (M(-d5, -d1; -p) - M(-d3, -d1; -p)
b=r options on non-dividend paying stock
b=r-q options on stock or index paying a dividend yield of q
b=0 options on futures
b=r-rf currency options (where rf is the rate in the second currency)
Inputs
Asset price ( S )
Strike price ( K )
Lower barrier ( L )
Upper barrier ( U )
Time to maturity ( T )
Risk-free rate ( r )
Cost of carry ( b )
Volatility ( s )
Fixings ( n )
cnd1(x) = Cumulative Normal Distribution
nd(x) = Standard Normal Density Function
cbnd3() = Cumulative Bivariate Distribution
convertingToCCRate(r, cmp ) = Rate compounder
Numerical Greeks or Greeks by Finite Difference
Analytical Greeks are the standard approach to estimating Delta, Gamma etc... That is what we typically use when we can derive from closed form solutions. Normally, these are well-defined and available in text books. Previously, we relied on closed form solutions for the call or put formulae differentiated with respect to the Black Scholes parameters. When Greeks formulae are difficult to develop or tease out, we can alternatively employ numerical Greeks - sometimes referred to finite difference approximations. A key advantage of numerical Greeks relates to their estimation independent of deriving mathematical Greeks. This could be important when we examine American options where there may not technically exist an exact closed form solution that is straightforward to work with. (via VinegarHill FinanceLabs)
Things to know
Only works on the daily timeframe and for the current source price.
You can adjust the text size to fit the screen
Recent Range DetectorOverview
The Recent Range Detector is a specialized indicator designed to identify when an asset is currently range-bound, providing traders with clear support and resistance levels for range trading strategies. Unlike traditional indicators that focus on trend detection, this tool specifically answers the question: "Is the price range-bound right now, and what are the exact trading levels?"
Key Features
✅ Smart Range Detection - Uses a multi-factor scoring system to identify legitimate ranges
✅ Dynamic Support/Resistance Levels - Automatically calculates and displays key trading levels
✅ Range Quality Scoring - Provides confidence levels (Strong/Moderate/Weak Range)
✅ Touch Validation - Counts actual price touches to confirm range reliability
✅ Breakout Detection - Alerts when price exits the established range
✅ Visual Clarity - Clean boxes, lines, and labels for easy interpretation
How It Works
The indicator analyses recent price action using three core metrics:
Touch Quality (40%) - How many times price has respected support/resistance levels
Containment Quality (40%) - What percentage of recent bars stayed within the range
Recent Respect (20%) - Whether the latest price action confirms the range
These combine into a Range Score (0-1) that determines range strength and reliability.
Settings & Parameters
Range Lookback Period (Default: 15)
Number of bars to analyse for range detection
Shorter periods = more responsive to recent ranges
Longer periods = more stable, fewer false signals
Range Tolerance (Default: 2.0%)
Tolerance for price touches around exact highs/lows
Lower values = stricter range requirements
Higher values = more flexible range detection
Minimum Touches (Default: 3)
Required number of support/resistance touches for valid range
Higher values = more confirmed ranges, fewer signals
Lower values = more sensitive, earlier detection
Visual Options
Show Range Box: Displays the range boundaries
Show Support/Resistance Lines: Extends levels into the future
Understanding the Output
Range Score (0.000 - 1.000)
0.7+ = Strong Range (Green) - High confidence range trading setup
0.5-0.7 = Moderate Range (Yellow) - Decent range with some caution
0.3-0.5 = Weak Range (Orange) - Low confidence, be careful
<0.3 = Not Ranging - Avoid range trading strategies
Range Status Classifications
Strong Range - Perfect for range trading strategies
Moderate Range - Good range with normal risk
Weak Range - Marginal range, use smaller positions
Not Ranging - Price is trending or too choppy for range trading
Key Metrics in Info Table
Range Size (%) - Size of the range relative to price level
5-15% = Ideal range size for most strategies
<5% = Tight range, lower profit potential
>15% = Wide range, higher profit potential but more risk
Support/Resistance Levels - Exact price levels for entries/exits
Use these as your key trading levels
Support = potential buy zone
Resistance = potential sell zone
Total Touches - Number of times price respected the levels
3-5 touches = Newly formed range
6-10 touches = Well-established range
10+ touches = Very strong, reliable range
Price Position (%) - Current location within the range
0-20% = Near support (potential long opportunity)
80-100% = Near resistance (potential short opportunity)
40-60% = Middle of range (wait for better entry)
Visual Elements
Range Box
Green Box = Strong Range (Score ≥ 0.7)
Yellow Box = Moderate Range (Score 0.5-0.7)
Orange Box = Weak Range (Score 0.3-0.5)
Support/Resistance Lines
- Horizontal lines showing exact trading levels
- Extend into the future for forward guidance
- Colour matches the range strength
Background Colouring
- Subtle background tint during range periods
- Helps quickly identify ranging vs trending markets
Breakout Signals
- 📈 RANGE BREAK UP - Price breaks above resistance
- 📉 RANGE BREAK DOWN - Price breaks below support
- Only appears for confirmed ranges (Score ≥ 0.5)
Trading Applications
Range Trading Strategy
1. Look for Range Score ≥ 0.5
2. Buy near support (Price Position 0-20%)
3. Sell near resistance (Price Position 80-100%)
4. Set stops just outside the range
5. Exit on breakout signals
Breakout Strategy
1. Identify strong ranges (Score ≥ 0.7)
2. Wait for volume-confirmed breakout
3. Enter in breakout direction
4. Use previous resistance as support (or vice versa)
Market Context
- Strong ranges often occur after trending moves
- Use higher timeframes to confirm overall market structure
- Combine with volume analysis for better entries/exits
Best Practices
What to Look For
✅ Range Score ≥ 0.5 for trading consideration
✅ Multiple touches (5+) for confirmation
✅ Clear price rejection at levels
✅ Reasonable range size (5-15% for most assets)
✅ Recent price respect of boundaries
What to Avoid
❌ Trading ranges with Score < 0.3
❌ Very tight ranges (<3% size) - low profit potential
❌ Ranges with only 1-2 touches - not confirmed
❌ Ignoring breakout signals
❌ Trading against the higher timeframe trend
Alerts Available
- Range Detected - New range formation
- Range Break Up - Upward breakout
- Range Break Down - Downward breakout
- Range Ended - Range condition ended
Timeframe Recommendations
- Daily Charts - Best for swing trading ranges
- 4H Charts - Good for intermediate-term ranges
- 1H Charts - Suitable for day trading ranges
- Lower Timeframes - May produce more noise
Conclusion
The Recent Range Detector eliminates guesswork in range identification by providing objective, quantified range analysis. It's particularly valuable for traders who prefer range-bound strategies or need to identify when trending strategies should be avoided.
Remember: No indicator is perfect. Always combine with proper risk management, volume analysis, and broader market context for best results.
Disclaimer
This indicator is for educational purposes only and should not be considered as financial advice. Trading involves risk, and past performance does not guarantee future results. Always conduct your own research and consider your risk tolerance before making any trading decisions.
Trend Gauge [BullByte]Trend Gauge
Summary
A multi-factor trend detection indicator that aggregates EMA alignment, VWMA momentum scaling, volume spikes, ATR breakout strength, higher-timeframe confirmation, ADX-based regime filtering, and RSI pivot-divergence penalty into one normalized trend score. It also provides a confidence meter, a Δ Score momentum histogram, divergence highlights, and a compact, scalable dashboard for at-a-glance status.
________________________________________
## 1. Purpose of the Indicator
Why this was built
Traders often monitor several indicators in parallel - EMAs, volume signals, volatility breakouts, higher-timeframe trends, ADX readings, divergence alerts, etc., which can be cumbersome and sometimes contradictory. The “Trend Gauge” indicator was created to consolidate these complementary checks into a single, normalized score that reflects the prevailing market bias (bullish, bearish, or neutral) and its strength. By combining multiple inputs with an adaptive regime filter, scaling contributions by magnitude, and penalizing weakening signals (divergence), this tool aims to reduce noise, highlight genuine trend opportunities, and warn when momentum fades.
Key Design Goals
Signal Aggregation
Merged trend-following signals (EMA crossover, ATR breakout, higher-timeframe confirmation) and momentum signals (VWMA thrust, volume spikes) into a unified score that reflects directional bias more holistically.
Market Regime Awareness
Implemented an ADX-style filter to distinguish between trending and ranging markets, reducing the influence of trend signals during sideways phases to avoid false breakouts.
Magnitude-Based Scaling
Replaced binary contributions with scaled inputs: VWMA thrust and ATR breakout are weighted relative to recent averages, allowing for more nuanced score adjustments based on signal strength.
Momentum Divergence Penalty
Integrated pivot-based RSI divergence detection to slightly reduce the overall score when early signs of momentum weakening are detected, improving risk-awareness in entries.
Confidence Transparency
Added a live confidence metric that shows what percentage of enabled sub-indicators currently agree with the overall bias, making the scoring system more interpretable.
Momentum Acceleration Visualization
Plotted the change in score (Δ Score) as a histogram bar-to-bar, highlighting whether momentum is increasing, flattening, or reversing, aiding in more timely decision-making.
Compact Informational Dashboard
Presented a clean, scalable dashboard that displays each component’s status, the final score, confidence %, detected regime (Trending/Ranging), and a labeled strength gauge for quick visual assessment.
________________________________________
## 2. Why a Trader Should Use It
Main benefits and use cases
1. Unified View: Rather than juggling multiple windows or panels, this indicator delivers a single score synthesizing diverse signals.
2. Regime Filtering: In ranging markets, trend signals often generate false entries. The ADX-based regime filter automatically down-weights trend-following components, helping you avoid chasing false breakouts.
3. Nuanced Momentum & Volatility: VWMA and ATR breakout contributions are normalized by recent averages, so strong moves register strongly while smaller fluctuations are de-emphasized.
4. Early Warning of Weakening: Pivot-based RSI divergence is detected and used to slightly reduce the score when price/momentum diverges, giving a cautionary signal before a full reversal.
5. Confidence Meter: See at a glance how many sub-indicators align with the aggregated bias (e.g., “80% confidence” means 4 out of 5 components agree ). This transparency avoids black-box decisions.
6. Trend Acceleration/Deceleration View: The Δ Score histogram visualizes whether the aggregated score is rising (accelerating trend) or falling (momentum fading), supplementing the main oscillator.
7. Compact Dashboard: A corner table lists each check’s status (“Bull”, “Bear”, “Flat” or “Disabled”), plus overall Score, Confidence %, Regime, Trend Strength label, and a gauge bar. Users can scale text size (Normal, Small, Tiny) without removing elements, so the full picture remains visible even in compact layouts.
8. Customizable & Transparent: All components can be enabled/disabled and parameterized (lengths, thresholds, weights). The full Pine code is open and well-commented, letting users inspect or adapt the logic.
9. Alert-ready: Built-in alert conditions fire when the score crosses weak thresholds to bullish/bearish or returns to neutral, enabling timely notifications.
________________________________________
## 3. Component Rationale (“Why These Specific Indicators?”)
Each sub-component was chosen because it adds complementary information about trend or momentum:
1. EMA Cross
o Basic trend measure: compares a faster EMA vs. a slower EMA. Quickly reflects trend shifts but by itself can whipsaw in sideways markets.
2. VWMA Momentum
o Volume-weighted moving average change indicates momentum with volume context. By normalizing (dividing by a recent average absolute change), we capture the strength of momentum relative to recent history. This scaling prevents tiny moves from dominating and highlights genuinely strong momentum.
3. Volume Spikes
o Sudden jumps in volume combined with price movement often accompany stronger moves or reversals. A binary detection (+1 for bullish spike, -1 for bearish spike) flags high-conviction bars.
4. ATR Breakout
o Detects price breaking beyond recent highs/lows by a multiple of ATR. Measures breakout strength by how far beyond the threshold price moves relative to ATR, capped to avoid extreme outliers. This gives a volatility-contextual trend signal.
5. Higher-Timeframe EMA Alignment
o Confirms whether the shorter-term trend aligns with a higher timeframe trend. Uses request.security with lookahead_off to avoid future data. When multiple timeframes agree, confidence in direction increases.
6. ADX Regime Filter (Manual Calculation)
o Computes directional movement (+DM/–DM), smoothes via RMA, computes DI+ and DI–, then a DX and ADX-like value. If ADX ≥ threshold, market is “Trending” and trend components carry full weight; if ADX < threshold, “Ranging” mode applies a configurable weight multiplier (e.g., 0.5) to trend-based contributions, reducing false signals in sideways conditions. Volume spikes remain binary (optional behavior; can be adjusted if desired).
7. RSI Pivot-Divergence Penalty
o Uses ta.pivothigh / ta.pivotlow with a lookback to detect pivot highs/lows on price and corresponding RSI values. When price makes a higher high but RSI makes a lower high (bearish divergence), or price makes a lower low but RSI makes a higher low (bullish divergence), a divergence signal is set. Rather than flipping the trend outright, the indicator subtracts (or adds) a small penalty (configurable) from the aggregated score if it would weaken the current bias. This subtle adjustment warns of weakening momentum without overreacting to noise.
8. Confidence Meter
o Counts how many enabled components currently agree in direction with the aggregated score (i.e., component sign × score sign > 0). Displays this as a percentage. A high percentage indicates strong corroboration; a low percentage warns of mixed signals.
9. Δ Score Momentum View
o Plots the bar-to-bar change in the aggregated score (delta_score = score - score ) as a histogram. When positive, bars are drawn in green above zero; when negative, bars are drawn in red below zero. This reveals acceleration (rising Δ) or deceleration (falling Δ), supplementing the main oscillator.
10. Dashboard
• A table in the indicator pane’s top-right with 11 rows:
1. EMA Cross status
2. VWMA Momentum status
3. Volume Spike status
4. ATR Breakout status
5. Higher-Timeframe Trend status
6. Score (numeric)
7. Confidence %
8. Regime (“Trending” or “Ranging”)
9. Trend Strength label (e.g., “Weak Bullish Trend”, “Strong Bearish Trend”)
10. Gauge bar visually representing score magnitude
• All rows always present; size_opt (Normal, Small, Tiny) only changes text size via text_size, not which elements appear. This ensures full transparency.
________________________________________
## 4. What Makes This Indicator Stand Out
• Regime-Weighted Multi-Factor Score: Trend and momentum signals are adaptively weighted by market regime (trending vs. ranging) , reducing false signals.
• Magnitude Scaling: VWMA and ATR breakout contributions are normalized by recent average momentum or ATR, giving finer gradation compared to simple ±1.
• Integrated Divergence Penalty: Divergence directly adjusts the aggregated score rather than appearing as a separate subplot; this influences alerts and trend labeling in real time.
• Confidence Meter: Shows the percentage of sub-signals in agreement, providing transparency and preventing blind trust in a single metric.
• Δ Score Histogram Momentum View: A histogram highlights acceleration or deceleration of the aggregated trend score, helping detect shifts early.
• Flexible Dashboard: Always-visible component statuses and summary metrics in one place; text size scaling keeps the full picture available in cramped layouts.
• Lookahead-Safe HTF Confirmation: Uses lookahead_off so no future data is accessed from higher timeframes, avoiding repaint bias.
• Repaint Transparency: Divergence detection uses pivot functions that inherently confirm only after lookback bars; description documents this lag so users understand how and when divergence labels appear.
• Open-Source & Educational: Full, well-commented Pine v6 code is provided; users can learn from its structure: manual ADX computation, conditional plotting with series = show ? value : na, efficient use of table.new in barstate.islast, and grouped inputs with tooltips.
• Compliance-Conscious: All plots have descriptive titles; inputs use clear names; no unnamed generic “Plot” entries; manual ADX uses RMA; all request.security calls use lookahead_off. Code comments mention repaint behavior and limitations.
________________________________________
## 5. Recommended Timeframes & Tuning
• Any Timeframe: The indicator works on small (e.g., 1m) to large (daily, weekly) timeframes. However:
o On very low timeframes (<1m or tick charts), noise may produce frequent whipsaws. Consider increasing smoothing lengths, disabling certain components (e.g., volume spike if volume data noisy), or using a larger pivot lookback for divergence.
o On higher timeframes (daily, weekly), consider longer lookbacks for ATR breakout or divergence, and set Higher-Timeframe trend appropriately (e.g., 4H HTF when on 5 Min chart).
• Defaults & Experimentation: Default input values are chosen to be balanced for many liquid markets. Users should test with replay or historical analysis on their symbol/timeframe and adjust:
o ADX threshold (e.g., 20–30) based on instrument volatility.
o VWMA and ATR scaling lengths to match average volatility cycles.
o Pivot lookback for divergence: shorter for faster markets, longer for slower ones.
• Combining with Other Analysis: Use in conjunction with price action, support/resistance, candlestick patterns, order flow, or other tools as desired. The aggregated score and alerts can guide attention but should not be the sole decision-factor.
________________________________________
## 6. How Scoring and Logic Works (Step-by-Step)
1. Compute Sub-Scores
o EMA Cross: Evaluate fast EMA > slow EMA ? +1 : fast EMA < slow EMA ? -1 : 0.
o VWMA Momentum: Calculate vwma = ta.vwma(close, length), then vwma_mom = vwma - vwma . Normalize: divide by recent average absolute momentum (e.g., ta.sma(abs(vwma_mom), lookback)), clip to .
o Volume Spike: Compute vol_SMA = ta.sma(volume, len). If volume > vol_SMA * multiplier AND price moved up ≥ threshold%, assign +1; if moved down ≥ threshold%, assign -1; else 0.
o ATR Breakout: Determine recent high/low over lookback. If close > high + ATR*mult, compute distance = close - (high + ATR*mult), normalize by ATR, cap at a configured maximum. Assign positive contribution. Similarly for bearish breakout below low.
o Higher-Timeframe Trend: Use request.security(..., lookahead=barmerge.lookahead_off) to fetch HTF EMAs; assign +1 or -1 based on alignment.
2. ADX Regime Weighting
o Compute manual ADX: directional movements (+DM, –DM), smoothed via RMA, DI+ and DI–, then DX and ADX via RMA. If ADX ≥ threshold, market is considered “Trending”; otherwise “Ranging.”
o If trending, trend-based contributions (EMA, VWMA, ATR, HTF) use full weight = 1.0. If ranging, use weight = ranging_weight (e.g., 0.5) to down-weight them. Volume spike stays binary ±1 (optional to change if desired).
3. Aggregate Raw Score
o Sum weighted contributions of all enabled components. Count the number of enabled components; if zero, default count = 1 to avoid division by zero.
4. Divergence Penalty
o Detect pivot highs/lows on price and corresponding RSI values, using a lookback. When price and RSI diverge (bearish or bullish divergence), check if current raw score is in the opposing direction:
If bearish divergence (price higher high, RSI lower high) and raw score currently positive, subtract a penalty (e.g., 0.5).
If bullish divergence (price lower low, RSI higher low) and raw score currently negative, add a penalty.
o This reduces score magnitude to reflect weakening momentum, without flipping the trend outright.
5. Normalize and Smooth
o Normalized score = (raw_score / number_of_enabled_components) * 100. This yields a roughly range.
o Optional EMA smoothing of this normalized score to reduce noise.
6. Interpretation
o Sign: >0 = net bullish bias; <0 = net bearish bias; near zero = neutral.
o Magnitude Zones: Compare |score| to thresholds (Weak, Medium, Strong) to label trend strength (e.g., “Weak Bullish Trend”, “Medium Bearish Trend”, “Strong Bullish Trend”).
o Δ Score Histogram: The histogram bars from zero show change from previous bar’s score; positive bars indicate acceleration, negative bars indicate deceleration.
o Confidence: Percentage of sub-indicators aligned with the score’s sign.
o Regime: Indicates whether trend-based signals are fully weighted or down-weighted.
________________________________________
## 7. Oscillator Plot & Visualization: How to Read It
Main Score Line & Area
The oscillator plots the aggregated score as a line, with colored fill: green above zero for bullish area, red below zero for bearish area. Horizontal reference lines at ±Weak, ±Medium, and ±Strong thresholds mark zones: crossing above +Weak suggests beginning of bullish bias, above +Medium for moderate strength, above +Strong for strong trend; similarly for bearish below negative thresholds.
Δ Score Histogram
If enabled, a histogram shows score - score . When positive, bars appear in green above zero, indicating accelerating bullish momentum; when negative, bars appear in red below zero, indicating decelerating or reversing momentum. The height of each bar reflects the magnitude of change in the aggregated score from the prior bar.
Divergence Highlight Fill
If enabled, when a pivot-based divergence is confirmed:
• Bullish Divergence : fill the area below zero down to –Weak threshold in green, signaling potential reversal from bearish to bullish.
• Bearish Divergence : fill the area above zero up to +Weak threshold in red, signaling potential reversal from bullish to bearish.
These fills appear with a lag equal to pivot lookback (the number of bars needed to confirm the pivot). They do not repaint after confirmation, but users must understand this lag.
Trend Direction Label
When score crosses above or below the Weak threshold, a small label appears near the score line reading “Bullish” or “Bearish.” If the score returns within ±Weak, the label “Neutral” appears. This helps quickly identify shifts at the moment they occur.
Dashboard Panel
In the indicator pane’s top-right, a table shows:
1. EMA Cross status: “Bull”, “Bear”, “Flat”, or “Disabled”
2. VWMA Momentum status: similarly
3. Volume Spike status: “Bull”, “Bear”, “No”, or “Disabled”
4. ATR Breakout status: “Bull”, “Bear”, “No”, or “Disabled”
5. Higher-Timeframe Trend status: “Bull”, “Bear”, “Flat”, or “Disabled”
6. Score: numeric value (rounded)
7. Confidence: e.g., “80%” (colored: green for high, amber for medium, red for low)
8. Regime: “Trending” or “Ranging” (colored accordingly)
9. Trend Strength: textual label based on magnitude (e.g., “Medium Bullish Trend”)
10. Gauge: a bar of blocks representing |score|/100
All rows remain visible at all times; changing Dashboard Size only scales text size (Normal, Small, Tiny).
________________________________________
## 8. Example Usage (Illustrative Scenario)
Example: BTCUSD 5 Min
1. Setup: Add “Trend Gauge ” to your BTCUSD 5 Min chart. Defaults: EMAs (8/21), VWMA 14 with lookback 3, volume spike settings, ATR breakout 14/5, HTF = 5m (or adjust to 4H if preferred), ADX threshold 25, ranging weight 0.5, divergence RSI length 14 pivot lookback 5, penalty 0.5, smoothing length 3, thresholds Weak=20, Medium=50, Strong=80. Dashboard Size = Small.
2. Trend Onset: At some point, price breaks above recent high by ATR multiple, volume spikes upward, faster EMA crosses above slower EMA, HTF EMA also bullish, and ADX (manual) ≥ threshold → aggregated score rises above +20 (Weak threshold) into +Medium zone. Dashboard shows “Bull” for EMA, VWMA, Vol Spike, ATR, HTF; Score ~+60–+70; Confidence ~100%; Regime “Trending”; Trend Strength “Medium Bullish Trend”; Gauge ~6–7 blocks. Δ Score histogram bars are green and rising, indicating accelerating bullish momentum. Trader notes the alignment.
3. Divergence Warning: Later, price makes a slightly higher high but RSI fails to confirm (lower RSI high). Pivot lookback completes; the indicator highlights a bearish divergence fill above zero and subtracts a small penalty from the score, causing score to stall or retrace slightly. Dashboard still bullish but score dips toward +Weak. This warns the trader to tighten stops or take partial profits.
4. Trend Weakens: Score eventually crosses below +Weak back into neutral; a “Neutral” label appears, and a “Neutral Trend” alert fires if enabled. Trader exits or avoids new long entries. If score subsequently crosses below –Weak, a “Bearish” label and alert occur.
5. Customization: If the trader finds VWMA noise too frequent on this instrument, they may disable VWMA or increase lookback. If ATR breakouts are too rare, adjust ATR length or multiplier. If ADX threshold seems off, tune threshold. All these adjustments are explained in Inputs section.
6. Visualization: The screenshot shows the main score oscillator with colored areas, reference lines at ±20/50/80, Δ Score histogram bars below/above zero, divergence fill highlighting potential reversal, and the dashboard table in the top-right.
________________________________________
## 9. Inputs Explanation
A concise yet clear summary of inputs helps users understand and adjust:
1. General Settings
• Theme (Dark/Light): Choose background-appropriate colors for the indicator pane.
• Dashboard Size (Normal/Small/Tiny): Scales text size only; all dashboard elements remain visible.
2. Indicator Settings
• Enable EMA Cross: Toggle on/off basic EMA alignment check.
o Fast EMA Length and Slow EMA Length: Periods for EMAs.
• Enable VWMA Momentum: Toggle VWMA momentum check.
o VWMA Length: Period for VWMA.
o VWMA Momentum Lookback: Bars to compare VWMA to measure momentum.
• Enable Volume Spike: Toggle volume spike detection.
o Volume SMA Length: Period to compute average volume.
o Volume Spike Multiplier: How many times above average volume qualifies as spike.
o Min Price Move (%): Minimum percent change in price during spike to qualify as bullish or bearish.
• Enable ATR Breakout: Toggle ATR breakout detection.
o ATR Length: Period for ATR.
o Breakout Lookback: Bars to look back for recent highs/lows.
o ATR Multiplier: Multiplier for breakout threshold.
• Enable Higher Timeframe Trend: Toggle HTF EMA alignment.
o Higher Timeframe: E.g., “5” for 5-minute when on 1-minute chart, or “60” for 5 Min when on 15m, etc. Uses lookahead_off.
• Enable ADX Regime Filter: Toggles regime-based weighting.
o ADX Length: Period for manual ADX calculation.
o ADX Threshold: Value above which market considered trending.
o Ranging Weight Multiplier: Weight applied to trend components when ADX < threshold (e.g., 0.5).
• Scale VWMA Momentum: Toggle normalization of VWMA momentum magnitude.
o VWMA Mom Scale Lookback: Period for average absolute VWMA momentum.
• Scale ATR Breakout Strength: Toggle normalization of breakout distance by ATR.
o ATR Scale Cap: Maximum multiple of ATR used for breakout strength.
• Enable Price-RSI Divergence: Toggle divergence detection.
o RSI Length for Divergence: Period for RSI.
o Pivot Lookback for Divergence: Bars on each side to identify pivot high/low.
o Divergence Penalty: Amount to subtract/add to score when divergence detected (e.g., 0.5).
3. Score Settings
• Smooth Score: Toggle EMA smoothing of normalized score.
• Score Smoothing Length: Period for smoothing EMA.
• Weak Threshold: Absolute score value under which trend is considered weak or neutral.
• Medium Threshold: Score above Weak but below Medium is moderate.
• Strong Threshold: Score above this indicates strong trend.
4. Visualization Settings
• Show Δ Score Histogram: Toggle display of the bar-to-bar change in score as a histogram. Default true.
• Show Divergence Fill: Toggle background fill highlighting confirmed divergences. Default true.
Each input has a tooltip in the code.
________________________________________
## 10. Limitations, Repaint Notes, and Disclaimers
10.1. Repaint & Lag Considerations
• Pivot-Based Divergence Lag: The divergence detection uses ta.pivothigh / ta.pivotlow with a specified lookback. By design, a pivot is only confirmed after the lookback number of bars. As a result:
o Divergence labels or fills appear with a delay equal to the pivot lookback.
o Once the pivot is confirmed and the divergence is detected, the fill/label does not repaint thereafter, but you must understand and accept this lag.
o Users should not treat divergence highlights as predictive signals without additional confirmation, because they appear after the pivot has fully formed.
• Higher-Timeframe EMA Alignment: Uses request.security(..., lookahead=barmerge.lookahead_off), so no future data from the higher timeframe is used. This avoids lookahead bias and ensures signals are based only on completed higher-timeframe bars.
• No Future Data: All calculations are designed to avoid using future information. For example, manual ADX uses RMA on past data; security calls use lookahead_off.
10.2. Market & Noise Considerations
• In very choppy or low-liquidity markets, some components (e.g., volume spikes or VWMA momentum) may be noisy. Users can disable or adjust those components’ parameters.
• On extremely low timeframes, noise may dominate; consider smoothing lengths or disabling certain features.
• On very high timeframes, pivots and breakouts occur less frequently; adjust lookbacks accordingly to avoid sparse signals.
10.3. Not a Standalone Trading System
• This is an indicator, not a complete trading strategy. It provides signals and context but does not manage entries, exits, position sizing, or risk management.
• Users must combine it with their own analysis, money management, and confirmations (e.g., price patterns, support/resistance, fundamental context).
• No guarantees: past behavior does not guarantee future performance.
10.4. Disclaimers
• Educational Purposes Only: The script is provided as-is for educational and informational purposes. It does not constitute financial, investment, or trading advice.
• Use at Your Own Risk: Trading involves risk of loss. Users should thoroughly test and use proper risk management.
• No Guarantees: The author is not responsible for trading outcomes based on this indicator.
• License: Published under Mozilla Public License 2.0; code is open for viewing and modification under MPL terms.
________________________________________
## 11. Alerts
• The indicator defines three alert conditions:
1. Bullish Trend: when the aggregated score crosses above the Weak threshold.
2. Bearish Trend: when the score crosses below the negative Weak threshold.
3. Neutral Trend: when the score returns within ±Weak after being outside.
Good luck
– BullByte
Mandelbrot-Fibonacci Cascade Vortex (MFCV)Mandelbrot-Fibonacci Cascade Vortex (MFCV) - Where Chaos Theory Meets Sacred Geometry
A Revolutionary Synthesis of Fractal Mathematics and Golden Ratio Dynamics
What began as an exploration into Benoit Mandelbrot's fractal market hypothesis and the mysterious appearance of Fibonacci sequences in nature has culminated in a groundbreaking indicator that reveals the hidden mathematical structure underlying market movements. This indicator represents months of research into chaos theory, fractal geometry, and the golden ratio's manifestation in financial markets.
The Theoretical Foundation
Mandelbrot's Fractal Market Hypothesis Traditional efficient market theory assumes normal distributions and random walks. Mandelbrot proved markets are fractal - self-similar patterns repeating across all timeframes with power-law distributions. The MFCV implements this through:
Hurst Exponent Calculation: H = log(R/S) / log(n/2)
Where:
R = Range of cumulative deviations
S = Standard deviation
n = Period length
This measures market memory:
H > 0.5: Trending (persistent) behavior
H = 0.5: Random walk
H < 0.5: Mean-reverting (anti-persistent) behavior
Fractal Dimension: D = 2 - H
This quantifies market complexity, where higher dimensions indicate more chaotic behavior.
Fibonacci Vortex Theory Markets don't move linearly - they spiral. The MFCV reveals these spirals using Fibonacci sequences:
Vortex Calculation: Vortex(n) = Price + sin(bar_index × φ / Fn) × ATR(Fn) × Volume_Factor
Where:
φ = 0.618 (golden ratio)
Fn = Fibonacci number (8, 13, 21, 34, 55)
Volume_Factor = 1 + (Volume/SMA(Volume,50) - 1) × 0.5
This creates oscillating spirals that contract and expand with market energy.
The Volatility Cascade System
Markets exhibit volatility clustering - Mandelbrot's "Noah Effect." The MFCV captures this through cascading volatility bands:
Cascade Level Calculation: Level(i) = ATR(20) × φ^i
Each level represents a different fractal scale, creating a multi-dimensional view of market structure. The golden ratio spacing ensures harmonic resonance between levels.
Implementation Architecture
Core Components:
Fractal Analysis Engine
Calculates Hurst exponent over user-defined periods
Derives fractal dimension for complexity measurement
Identifies market regime (trending/ranging/chaotic)
Fibonacci Vortex Generator
Creates 5 independent spiral oscillators
Each spiral follows a Fibonacci period
Volume amplification creates dynamic response
Cascade Band System
Up to 8 volatility levels
Golden ratio expansion between levels
Dynamic coloring based on fractal state
Confluence Detection
Identifies convergence of vortex and cascade levels
Highlights high-probability reversal zones
Real-time confluence strength calculation
Signal Generation Logic
The MFCV generates two primary signal types:
Fractal Signals: Generated when:
Hurst > 0.65 (strong trend) AND volatility expanding
Hurst < 0.35 (mean reversion) AND RSI < 35
Trend strength > 0.4 AND vortex alignment
Cascade Signals: Triggered by:
RSI > 60 AND price > SMA(50) AND bearish vortex
RSI < 40 AND price < SMA(50) AND bullish vortex
Volatility expansion AND trend strength > 0.3
Both signals implement a 15-bar cooldown to prevent overtrading.
Advanced Input System
Mandelbrot Parameters:
Cascade Levels (3-8):
Controls number of volatility bands
Crypto: 5-7 (high volatility)
Indices: 4-5 (moderate volatility)
Forex: 3-4 (low volatility)
Hurst Period (20-200):
Lookback for fractal calculation
Scalping: 20-50
Day Trading: 50-100
Swing Trading: 100-150
Position Trading: 150-200
Cascade Ratio (1.0-3.0):
Band width multiplier
1.618: Golden ratio (default)
Higher values for trending markets
Lower values for ranging markets
Fractal Memory (21-233):
Fibonacci retracement lookback
Uses Fibonacci numbers for harmonic alignment
Fibonacci Vortex Settings:
Spiral Periods:
Comma-separated Fibonacci sequence
Fast: "5,8,13,21,34" (scalping)
Standard: "8,13,21,34,55" (balanced)
Extended: "13,21,34,55,89" (swing)
Rotation Speed (0.1-2.0):
Controls spiral oscillation frequency
0.618: Golden ratio (balanced)
Higher = more signals, more noise
Lower = smoother, fewer signals
Volume Amplification:
Enables dynamic spiral expansion
Essential for stocks and crypto
Disable for forex (no central volume)
Visual System Architecture
Cascade Bands:
Multi-level volatility envelopes
Gradient coloring from primary to secondary theme
Transparency increases with distance from price
Fill between bands shows fractal structure
Vortex Spirals:
5 Fibonacci-period oscillators
Blue above price (bullish pressure)
Red below price (bearish pressure)
Multiple display styles: Lines, Circles, Dots, Cross
Dynamic Fibonacci Levels:
Auto-updating retracement levels
Smart update logic prevents disruption near levels
Distance-based transparency (closer = more visible)
Updates every 50 bars or on volatility spikes
Confluence Zones:
Highlighted boxes where indicators converge
Stronger confluence = stronger support/resistance
Key areas for reversal trades
Professional Dashboard System
Main Fractal Dashboard: Displays real-time:
Hurst Exponent with market state
Fractal Dimension with complexity level
Volatility Cascade status
Vortex rotation impact
Market regime classification
Signal strength percentage
Active indicator levels
Vortex Metrics Panel: Shows:
Individual spiral deviations
Convergence/divergence metrics
Real-time vortex positioning
Fibonacci period performance
Fractal Metrics Display: Tracks:
Dimension D value
Market complexity rating
Self-similarity strength
Trend quality assessment
Theory Guide Panel: Educational reference showing:
Mandelbrot principles
Fibonacci vortex concepts
Dynamic trading suggestions
Trading Applications
Trend Following:
High Hurst (>0.65) indicates strong trends
Follow cascade band direction
Use vortex spirals for entry timing
Exit when Hurst drops below 0.5
Mean Reversion:
Low Hurst (<0.35) signals reversal potential
Trade toward vortex spiral convergence
Use Fibonacci levels as targets
Tighten stops in chaotic regimes
Breakout Trading:
Monitor cascade band compression
Watch for vortex spiral alignment
Volatility expansion confirms breakouts
Use confluence zones for targets
Risk Management:
Position size based on fractal dimension
Wider stops in high complexity markets
Tighter stops when Hurst is extreme
Scale out at Fibonacci levels
Market-Specific Optimization
Cryptocurrency:
Cascade Levels: 5-7
Hurst Period: 50-100
Rotation Speed: 0.786-1.2
Enable volume amplification
Stock Indices:
Cascade Levels: 4-5
Hurst Period: 80-120
Rotation Speed: 0.5-0.786
Moderate cascade ratio
Forex:
Cascade Levels: 3-4
Hurst Period: 100-150
Rotation Speed: 0.382-0.618
Disable volume amplification
Commodities:
Cascade Levels: 4-6
Hurst Period: 60-100
Rotation Speed: 0.5-1.0
Seasonal adjustment consideration
Innovation and Originality
The MFCV represents several breakthrough innovations:
First Integration of Mandelbrot Fractals with Fibonacci Vortex Theory
Unique synthesis of chaos theory and sacred geometry
Novel application of Hurst exponent to spiral dynamics
Dynamic Volatility Cascade System
Golden ratio-based band expansion
Multi-timeframe fractal analysis
Self-adjusting to market conditions
Volume-Amplified Vortex Spirals
Revolutionary spiral calculation method
Dynamic response to market participation
Multiple Fibonacci period integration
Intelligent Signal Generation
Cooldown system prevents overtrading
Multi-factor confirmation required
Regime-aware signal filtering
Professional Analytics Dashboard
Institutional-grade metrics display
Real-time fractal analysis
Educational integration
Development Journey
Creating the MFCV involved overcoming numerous challenges:
Mathematical Complexity: Implementing Hurst exponent calculations efficiently
Visual Clarity: Displaying multiple indicators without cluttering
Performance Optimization: Managing array operations and calculations
Signal Quality: Balancing sensitivity with reliability
User Experience: Making complex theory accessible
The result is an indicator that brings PhD-level mathematics to practical trading while maintaining visual elegance and usability.
Best Practices and Guidelines
Start Simple: Use default settings initially
Match Timeframe: Adjust parameters to your trading style
Confirm Signals: Never trade MFCV signals in isolation
Respect Regimes: Adapt strategy to market state
Manage Risk: Use fractal dimension for position sizing
Color Themes
Six professional themes included:
Fractal: Balanced blue/purple palette
Golden: Warm Fibonacci-inspired colors
Plasma: Vibrant modern aesthetics
Cosmic: Dark mode optimized
Matrix: Classic green terminal
Fire: Heat map visualization
Disclaimer
This indicator is for educational and research purposes only. It does not constitute financial advice. While the MFCV reveals deep market structure through advanced mathematics, markets remain inherently unpredictable. Past performance does not guarantee future results.
The integration of Mandelbrot's fractal theory with Fibonacci vortex dynamics provides unique market insights, but should be used as part of a comprehensive trading strategy. Always use proper risk management and never risk more than you can afford to lose.
Acknowledgments
Special thanks to Benoit Mandelbrot for revolutionizing our understanding of markets through fractal geometry, and to the ancient mathematicians who discovered the golden ratio's universal significance.
"The geometry of nature is fractal... Markets are fractal too." - Benoit Mandelbrot
Revealing the Hidden Order in Market Chaos Trade with Mathematical Precision. Trade with MFCV.
— Created with passion for the TradingView community
Trade with insight. Trade with anticipation.
— Dskyz , for DAFE Trading Systems
AdvancedLines (FiboBands) - PaSKaL
Overview :
AdvancedLines (FiboBands) - PaSKaL is an advanced technical analysis tool designed to automate the plotting of key Fibonacci retracement levels based on the highest high and lowest low over a customizable period. This indicator helps traders identify critical price zones such as support, resistance, and potential trend reversal or continuation points.
By using AdvancedLines (FiboBands) - PaSKaL , traders can easily spot key areas where the price is likely to reverse or consolidate, or where the trend may continue. It is particularly useful for trend-following, scalping, and range-trading strategies.
Key Features:
Automatic Fibonacci Level Calculation :
- The indicator automatically calculates and plots key Fibonacci levels (0.236, 0.382, 0.5, 0.618, and 0.764), which are crucial for identifying potential support and resistance levels in the market.
Adjustable Parameters :
- Bands Length: You can adjust the bands_length setting to change the number of bars used for calculating the highest high and lowest low. This gives flexibility for using the indicator on different timeframes and trading styles.
- Visibility: The Fibonacci levels, as well as the midline (0.5 Fibonacci level), can be shown or hidden based on your preference.
- Color Customization: You can change the color of each Fibonacci level and background fills to suit your chart preferences.
Fibonacci Levels
- The main Fibonacci levels plotted are:
- 0.236 – Minor support/resistance level
- 0.382 – Moderate retracement level
- 0.5 – Midpoint retracement, often used as a key level
- 0.618 – Golden ratio, considered one of the most important Fibonacci levels
- 0.764 – Strong reversal level, often indicating a continuation or change in trend
Background Fill
- The indicator allows you to fill the background between the Fibonacci levels and the bands with customizable colors. This makes it easier to visually highlight key zones on the chart.
How the Indicator Works:
AdvancedLines (FiboBands) - PaSKaL calculates the range (difference between the highest high and the lowest low) over a user-defined number of bars (e.g., 300). Fibonacci levels are derived from this range, helping traders identify potential price reversal points.
Mathematical Basis :
Fibonacci retracement levels are based on the Fibonacci sequence, where each number is the sum of the previous two (0, 1, 1, 2, 3, 5, 8, 13, etc.). The ratios derived from this sequence (such as 0.618 and 0.382) have been widely observed in nature, market cycles, and price movements. These ratios are used to forecast potential price retracements or continuation points after a major price move.
Fibonacci Levels Calculation :
Identify the Range: The highest high and the lowest low over the defined period are calculated.
Apply Fibonacci Ratios: Fibonacci ratios (0.236, 0.382, 0.5, 0.618, and 0.764) are applied to this range to calculate the corresponding price levels.
Plot the Levels: The indicator automatically plots these levels on your chart.
Customizing Fibonacci Levels & Colors:
The "AdvancedLines (FiboBands) - PaSKaL" indicator offers various customization options for Fibonacci levels, colors, and visibility:
Fibonacci Level Ratios:
- You can customize the Fibonacci level ratios through the following inputs:
- Fibo Level 1: 0.764
- Fibo Level 2: 0.618
- Fibo Level 3: 0.5
- Fibo Level 4: 0.382
- Fibo Level 5: 0.236
- These levels determine key areas where price may reverse or pause. You can adjust these ratios based on your trading preferences.
Fibonacci Level Colors:
- Each Fibonacci level can be assigned a different color to make it more distinguishable on your chart:
- Fibo Level 1 Color (default: Yellow)
- Fibo Level 2 Color (default: Orange)
- Fibo Level 3 Color (default: Green)
- Fibo Level 4 Color (default: Red)
- Fibo Level 5 Color (default: Blue)
- You can change these colors to fit your visual preferences or to align with your existing chart themes.
Visibility of Fibonacci Levels:
- You can choose whether to display each Fibonacci level using the following visibility inputs:
- Show Fibo Level 1 (0.764): Display or hide this level.
- Show Fibo Level 2 (0.618): Display or hide this level.
- Show Fibo Level 3 (0.5): Display or hide this level.
- Show Fibo Level 4 (0.382): Display or hide this level.
- Show Fibo Level 5 (0.236): Display or hide this level.
- This allows you to customize the indicator according to the specific Fibonacci levels that are most relevant to your trading strategy.
Background Fill Color
- The background between the Fibonacci levels and price bands can be filled with customizable colors:
- Fill Color for Upper Band & Fibo Level 1: This color will fill the area between the upper band and Fibonacci Level 1.
- Fill Color for Lower Band & Fibo Level 5: This color will fill the area between the lower band and Fibonacci Level 5.
- Adjusting these colors helps highlight critical zones where price may reverse or consolidate.
How to Use AdvancedLines (FiboBands) - PaSKaL in Trading :
Range Trading :
Range traders typically buy at support and sell at resistance. Fibonacci levels provide excellent support and resistance zones in a ranging market.
Example: If price reaches the 0.618 level in an uptrend, it may reverse, providing an opportunity to sell.
Conversely, if price drops to the 0.382 level, a bounce might occur, and traders can buy, anticipating the market will stay within the range.
Trend-following Trading :
For trend-following traders, Fibonacci levels act as potential entry points during a retracement. After a strong trend, price often retraces to one of the Fibonacci levels before continuing in the direction of the trend.
Example: In a bullish trend, when price retraces to the 0.382 level, it could be a signal to buy, as the price might resume its upward movement after the correction.
In a bearish trend, retracements to levels like 0.618 or 0.764 could provide optimal opportunities for shorting as the price resumes its downward movement.
Scalping :
Scalpers focus on short-term price movements. Fibonacci levels can help identify precise entry and exit points for quick trades.
Example: If price is fluctuating in a narrow range, a scalper can enter a buy trade at 0.236 and exit at the next Fibonacci level, such as 0.382 or 0.5, capturing small but consistent profits.
Stop-Loss and Take-Profit Levels :
Fibonacci levels can also help in setting stop-loss and take-profit levels.
Example: In a bullish trend, you can set a stop-loss just below the 0.236 level and a take-profit at 0.618.
In a bearish trend, set the stop-loss just above the 0.382 level and the take-profit at 0.764.
Identifying Reversals and Continuations :
Reversals: When price reaches a Fibonacci level and reverses direction, it may indicate the end of a price move.
Trend Continuation: If price bounces off a Fibonacci level and continues in the same direction, this may signal that the trend is still intact.
Conclusion :
AdvancedLines (FiboBands) - PaSKaL is an essential tool for any trader who uses Fibonacci retracements in their trading strategy. By automatically plotting key Fibonacci levels, this indicator helps traders quickly identify support and resistance zones, forecast potential reversals, and make more informed trading decisions.
For Trend-following Traders: Use Fibonacci levels to find optimal entry points after a price retracement.
For Range Traders: Identify key levels where price is likely to reverse or bounce within a range.
For Scalpers: Pinpoint small price movements and take advantage of quick profits by entering and exiting trades at precise Fibonacci levels.
By incorporating AdvancedLines (FiboBands) - PaSKaL into your trading setup, you will gain a deeper understanding of price action, improve your decision-making process, and enhance your overall trading performance.
Fibonacci 3-D🟩 The Fibonacci 3-D indicator is a visual tool that introduces a three-dimensional approach to Fibonacci projections, leveraging market geometry. Unlike traditional Fibonacci tools that rely on two points and project horizontal levels, this indicator leverages slopes derived from three points to introduce a dynamic element into the calculations. The Fibonacci 3-D indicator uses three user-defined points to form a triangular structure, enabling multi-dimensional projections based on the relationships between the triangle’s sides.
This triangular framework forms the foundation for the indicator’s calculations, with each slope (⌳AB, ⌳AC, and ⌳BC) representing the rate of price change between its respective points. By incorporating these slopes into Fibonacci projections, the indicator provides an alternate approach to identifying potential support and resistance levels. The Fibonacci 3-D expands on traditional methods by integrating both historical price trends and recent momentum, offering deeper insights into market dynamics and aligning with broader market geometry.
The indicator operates across three modes, each defined by the triangular framework formed by three user-selected points (A, B, and C):
1-Dimensional (1-D): Fibonacci levels are based on a single side of the triangle, such as AB, AC, or BC. The slope of the selected side determines the angle of the projection, allowing users to analyze linear trends or directional price movements.
2-Dimensional (2-D): Combines two slopes derived from the sides of the triangle, such as AB and BC or AC and BC. This mode adds depth to the projections, accounting for both historical price swings and recent market momentum.
3-Dimensional (3-D): Integrates all three slopes into a unified projection. This mode captures the full geometric relationship between the points, revealing a comprehensive view of geometric market structure.
🌀 THEORY & CONCEPT 🌀
The Fibonacci 3-D indicator builds on the foundational principles of traditional Fibonacci analysis while expanding its scope to capture more intricate market structures. At its core, the indicator operates based on three user-selected points (A, B, and C), forming the vertices of a triangle that provides the structural basis for all calculations. This triangle determines the slopes, projections, and Fibonacci levels, aligning with the unique geometric relationships between the chosen points. By introducing multiple dimensions and leveraging this triangular framework, the indicator enables a deeper examination of price movements.
1️⃣ First Dimension (1-D)
In technical analysis, traditional Fibonacci retracement and extension tools operate as one-dimensional instruments. They rely on two price points, often a swing high and a swing low, to calculate and project horizontal levels at predefined Fibonacci ratios. These levels identify potential support and resistance zones based solely on the price difference between the selected points.
A one-dimensional Fibonacci showing levels derived from two price points (B and C).
The Fibonacci 3-D indicator extends this one-dimensional concept by introducing Ascending and Descending projection options. These options calculate the levels to align with the directional movement of price, creating sloped projections instead of purely horizontal levels.
1-D mode with an ascending projection along the ⌳BC slope aligned to the market's slope. Potential support is observed at 0.236 and 0.382, while resistance appears at 1.0 and 0.5.
2️⃣ Second Dimension (2-D)
The second dimension incorporates a second side of the triangle, introducing relationships between two slopes (e.g., ⌳AB and ⌳BC) to form a more dynamic three-point structure (A, B, and C) on the chart. This structure enables the indicator to move beyond the single-axis (price) calculations of traditional Fibonacci tools. The sides of the triangle (AB, AC, BC) represent slopes calculated as the rate of price change over time, capturing distinct components of market movement, such as trend direction and momentum.
2-D mode of the Fibonacci 3-D indicator using the ⌳AC slope with a descending projection. The Fibonacci projections align closely with observed market behavior, providing support at 0.236 and resistance at 0.618. Unlike traditional zigzag setups, this configuration uses two swing highs (A and B) and a swing low (C). The alignment along the descending slope highlights the geometric relationships between selected points in identifying potential support and resistance levels.
3️⃣ Third Dimension (3-D)
The third dimension expands the analysis by integrating all three slopes into a unified calculation, encompassing the entire triangle structure formed by points A, B, and C. Unlike the second dimension, which analyzes pairwise slope relationships, the 3-D mode reflects the combined geometry of the triangle. Each slope contributes a distinct perspective: AB and AC provide historical context, while BC emphasizes the most recent price movement and is given greater weight in the calculations to ensure projections remain responsive to current dynamics.
Using this integrated framework, the 3-D mode dynamically adjusts Fibonacci projections to balance long-term patterns and short-term momentum. The projections extend outward in alignment with the triangle’s geometry, offering a comprehensive framework for identifying potential support and resistance zones and capturing market structures beyond the scope of simpler 1-D or 2-D modes.
Three-dimensional Fibonacci projection using the ⌳AC slope, aligning closely with the market's directional movement. The projection highlights key levels: resistance at 0.0 and 0.618, and support at 1.0, 0.786, and 0.382.
By leveraging all three slopes simultaneously, the 3-D mode introduces a level of complexity particularly suited for volatile or non-linear markets. The weighted slope calculations ensure no single price movement dominates the analysis, allowing the projections to adapt dynamically to the broader market structure while remaining sensitive to recent momentum.
Three-dimensional ascending projection. In 3D mode, the indicator integrates all three slopes to calculate the angle of projection for the Fibonacci levels. The resulting projections adapt dynamically to the overall geometry of the ABC structure, aligning with the market’s current direction.
🔂 Interactions: Dimensions. Slope Source, Projections, and Orientation
The Dimensions , Projections , and Orientation settings work together to define Fibonacci projections within the triangular framework. Each setting plays a specific role in the geometric analysis of price movements.
♾️ Dimension determines which of the three modes (1-D, 2-D, or 3-D) is used for Fibonacci projections. In 1-D mode, the projections are based on a single side of the triangle, such as AB, AC, or BC. In 2-D mode, two sides are combined, producing levels based on their geometric relationship. The 3-D mode integrates all three sides of the triangle, calculating projections using weighted averages that emphasize the BC side for its relevance to recent price movement while maintaining historical context from the AB and AC sides.
A one-dimensional Fibonacci projection using the ⌳AB slope with a neutral projection. Important levels of interaction are highlighted: repeated resistance at Level 1.0 and repeated support at Levels 0.5 and 0.618. The projection aligns horizontally, reflecting the relationship between points A, B, and C while identifying recurring zones of market structure.
🧮 Slope Source determines which side of the triangle (AB, AC, or BC) serves as the foundation for Fibonacci projections. This selection directly impacts the calculations by specifying the slope that anchors the geometric relationships within the chosen Dimension mode (1-D, 2-D, or 3-D).
In 1-D mode, the selected Source defines the single side used for the projection. In 2-D and 3-D modes, the Source works in conjunction with other settings to refine projections by integrating the selected slope into the multi-dimensional framework.
One-dimensional Fibonacci projection using the ⌳AC Slope Source and Ascending projection. The projection continues on the AC slope line.
🎯 Projection controls the direction and alignment of Fibonacci levels. Neutral projections produce horizontal levels, similar to traditional Fibonacci tools. Ascending and Descending projections adjust the levels along the calculated slope to reflect market trends. These options allow the indicator’s outputs to align with different market behaviors.
An ascending projection along the ⌳BC slope aligns with resistance levels at 1.0, 0.618, and 0.236. The geometric relationship between points A, B, and C illustrates how the projection adapts to market structure, identifying resistance zones that may not be captured by traditional Fibonacci tools.
🧭 Orientation modifies the alignment of the setup area defined by points A, B, and C, which influences Fibonacci projections in 2-D and 3-D modes. In Default mode, the triangle aligns naturally based on the relative positions of points B and C. In Inverted mode, the geometric orientation of the setup area is reversed, altering the slope calculations while preserving the projection direction specified in the Projection setting. In 1-D mode, Orientation has no effect since only one side is used for the projection.
Adjusting the Orientation setting provides alternative views of how Fibonacci levels align with the market's structure. By recalibrating the triangle’s setup, the inverted orientation can highlight different relationships between the sides, providing additional perspectives on support and resistance zones.
2-D inverted. The ⌳AC slope defines the projection, and the inverted orientation adjusts the alignment of the setup area, altering the angles used in level calculations. Key levels are highlighted: resistance at 0.786, strong support at 0.5 and 0.236, and a resistance-turned-support interaction at 0.618.
🛠️ CONFIGURATION AND SETTINGS 🛠️
The Fibonacci 3-D indicator includes configurable settings to adjust its functionality and visual representation. These options include customization of the dimensions (1-D, 2-D, or 3-D), slope calculations, orientations, projections, Fibonacci levels, and visual elements.
When adding the indicator to a new chart, select three reference points (A, B, and C). These are usually set to recent swing points. All three points can be easily changed at any time by clicking on the reference point and dragging it to a new location.
By default, all settings are set to Auto . The indicator uses an internal algorithm to estimate the projections based on the orientation and relative positions of the reference points. However, all values can be overridden to reflect the user's interpretation of the current market geometry.
⚙️ Core Settings
Dimensions : Defines how many sides of the triangle formed by points A, B, and C are incorporated into the calculations for Fibonacci projections. This setting determines the level of complexity and detail in the analysis. 1-D : Projects levels along the angle of a single user-selected side of the triangle.
2-D : Projects levels based on a composite slope derived from the angles of two sides of the triangle.
3-D : Projects levels based on a composite slope derived from all three sides of the triangle (A-B, A-C, and B-C), providing a multi-dimensional projection that adapts to both historical and recent market movements.
Slope Source : Determines which side of the triangle is used as the basis for slope calculations. A–B: The slope between points A and B. In 1-D mode, this determines the projection. In 2-D and 3-D modes, it contributes to the composite slope calculation.
A–C: The slope between points A and C. In 1-D mode, this determines the projection. In 2-D and 3-D modes, it contributes to the composite slope calculation.
B--C: The slope between points B and C. In 1-D mode, this determines the projection. In 2-D and 3-D modes, it contributes to the composite slope calculation.
Orientation : Defines the triangle's orientation formed by points A, B, and C, influencing slope calculations. Auto : Automatically determines orientation based on the relative positions of points B and C. If point C is to the right of point B, the orientation is "normal." If point C is to the left, the orientation is inverted.
Inverted : Reverses the orientation set in "Auto" mode. This flips the triangle, reversing slope calculations ⌳AB becomes ⌳BA).
Projection : Determines the direction of Fibonacci projections: Auto : Automatically determines projection direction based on the triangle formed by A, B, and C.
Ascending : Projects the levels upward.
Neutral : Projects the levels horizontally, similar to traditional Fibonacci retracements.
Descending : Projects the levels downward.
⚙️ Fibonacci Level Settings Show or hide specific levels.
Level Value : Adjust Fibonacci ratios for each level. The 0.0 and 1.0 levels are fixed.
Color : Set level colors.
⚙️ Visibility Settings Show Setup : Toggle the display of the setup area, which includes the projected lines used in calculations.
Show Triangle : Toggle the display of the triangle formed by points A, B, and C.
Triangle Color : Set triangle line colors.
Show Point Labels : Toggle the display of labels for points A, B, and C.
Show Left/Right Labels : Toggle price labels on the left and right sides of the chart.
Fill % : Adjust the fill intensity between Fibonacci levels (0% for no fill, 100% for full fill).
Info : Set the location or hide the Slope Source and Dimension. If Orientation is Inverted , the Slope Source will display with an asterisk (*).
⚙️ Time-Price Points : Set the time and price for points A, B, and C, which define the Fibonacci projections.
A, B, and C Points : User-defined time and price coordinates that form the foundation of the indicator's calculations.
Interactive Adjustments : Changes made to points on the chart automatically synchronize with the settings panel and update projections in real time.
Notes
Unlike traditional Fibonacci tools that include extensions beyond 1.0 (e.g., 1.618 or 2.618), the Fibonacci 3-D indicator restricts Fibonacci levels to the range between 0.0 and 1.0. This is because the projections are tied directly to the proportional relationships along the sides of the triangle formed by points A, B, and C, rather than extending beyond its defined structure.
The indicator's calculations dynamically sort the user-defined A, B, and C points by time, ensuring point A is always the earliest, point C the latest, and point B the middle. This automatic sorting allows users to freely adjust the points directly on the chart without concern for their sequence, maintaining consistency in the triangular structure.
🖼️ ADDITIONAL CHART EXAMPLES 🖼️
Three-dimensional ⌳AC slope is used with an ascending projection, even as the broader market trend moves downward. Despite the apparent contradiction, the projected Fibonacci levels align closely with price action, identifying zones of support and resistance. These levels highlight smaller countertrend movements, such as pullbacks to 0.382 and 0.236, followed by continuations at resistance levels like 0.618 and 0.786.
In 2-D mode, an ascending projection based on the BC slope highlights the market's geometric structure. A setup triangle, defined by a swing high (A), a swing low (B), and another swing high (C), reveals Fibonacci projections aligning with support at 0.236, 0.382, and 0.5, and resistance at 0.618, 0.786, and 1.0, as shown by the green and red arrows. This demonstrates the ability to uncover dynamic support and resistance levels not calculated in traditional Fibonacci tools.
In 2-D mode with an ascending projection from the ⌳AB slope, price movement is contained within the 0.5 and 0.786 levels. The 0.5 level serves as support, while the 0.786 level acts as resistance, with price action consistently interacting with these boundaries.
An AC (2-D) ascending projection is derived from two swing highs (A and B) and a swing low (C), reflecting a non-linear market structure that deviates from traditional zigzag patterns. The ascending projection aligns closely with the market's upward trajectory, forming a channel between the 0.0 and 0.5 Fibonacci levels. Note how price action interacts with the projected levels, showing support at 0.236 and 0.382, with the 0.5 level acting as a mid-channel equilibrium.
Two-dimensional ascending Fibonacci projection using the ⌳AC slope. Arrows highlight resistance at 0.786 and support at 0.0 and 0.236. The projection follows the ⌳AC slope, reflecting the geometric relationship between points A, B, and C to identify these levels.
Three-dimensional Fibonacci projection using the ⌳AC slope, aligned with the actual market's directional trend. By removing additional Fibonacci levels, the image emphasizes key areas: resistance at Level 0.0 and support at Levels 1.0 and 0.5. The projection dynamically follows the ⌳AC slope, adapting to the market's structure as defined by points A, B, and C.
A three-dimensional configuration uses the ⌳AB slope as the baseline for projections while incorporating the geometric influence of point C. Only the 0.0 and 0.618 levels are enabled, emphasizing the relationship between support at 0.0 and resistance at 0.618. Unlike traditional Fibonacci tools, which operate in a single plane, this setup reveals levels that rely on the triangular relationship between points A, B, and C. The third dimension allows for projections that align more closely with the market’s structure and reflect its multi-dimensional geometry.
The Fibonacci 3-D indicator can adapt to non-traditional point selection. Point A serves as a swing low, while points B and C are swing highs, forming an unconventional configuration. ⌳The BC slope is used in 2-D mode with an inverted orientation, flipping the projection direction and revealing resistance at Level 0.786 and support at Levels 0.618 and 0.5.
⚠️ DISCLAIMER ⚠️
The Fibonacci 3-D indicator is a visual analysis tool designed to illustrate Fibonacci relationships. While the indicator employs precise mathematical and geometric formulas, no guarantee is made that its calculations will align with other Fibonacci tools or proprietary methods. Like all technical and visual indicators, the Fibonacci projections generated by this tool may appear to visually align with key price zones in hindsight. However, these projections are not intended as standalone signals for trading decisions. This indicator is intended for educational and analytical purposes, complementing other tools and methods of market analysis.
🧠 BEYOND THE CODE 🧠
The Fibonacci 3-D indicator, like other xxattaxx indicators , is designed to encourage both education and community engagement. Your feedback and insights are invaluable to refining and enhancing the Fibonacci 3-D indicator. We look forward to the creative applications, adaptations, and observations this tool inspires within the trading community.
