Symmetrical Geometric MandalaSymmetrical Geometric Mandala
Overview
The Symmetrical Geometric Mandala is an advanced geometric trading tool that applies phi (φ) harmonic relationships to price-time analysis. This indicator automatically detects swing ranges and constructs a scale-invariant geometric framework based on the square root of phi (√φ), revealing natural support/resistance zones and harmonic price-time balance points.
Core Concept
Traditional technical analysis often treats price and time as separate dimensions. This indicator harmonizes them using the mathematical constant √φ (approximately 1.272), creating a geometric "squaring" of price and time that remains proportionally consistent across different chart scales.
The Mathematics
When you select a price range (from swing low to swing high or vice versa), the indicator calculates:
PBR (Price-to-Bar Ratio) = Range / Number of Bars
Harmonic PBR = PBR × √φ (1.272019649514069)
Phi Extension = Range × φ (1.618033988749895)
The Harmonic PBR is the critical value - this is the chart scaling factor that creates perfect geometric harmony between price and time for your selected range.
Visual Components
1. Horizontal Boundary Lines
Two horizontal lines extend from the selected range at a distance of Range × φ (golden ratio extension):
Upper line: Extended above the swing high (for uplegs) or swing low (for downlegs)
Lower line: Extended below the swing low (for uplegs) or swing high (for downlegs)
These lines mark the natural harmonic boundaries of the price movement.
2. Rectangle Diagonal Lines
Two diagonal lines that create a "rectangle" effect, connecting:
Overlap points on horizontal boundaries to swing extremes
These lines go in the opposite direction of the price leg (creating the symmetrical mandala pattern)
When extended, they reveal future geometric support/resistance zones
3. Phi Harmonic Circles (Optional)
Two precisely calculated circles (drawn as smooth polylines):
Circle A: Centered at the first swing extreme (Nodal A)
Circle B: Centered at the second swing extreme (Nodal B)
Radius = Range × φ, causing them to perfectly touch the horizontal boundary lines
These circles visualize the geometric harmony and create a mandala-like pattern that reveals natural price zones.
How to Use
Step 1: Select Your Range
Set the Start Date at your swing low or swing high
Set the End Date at the opposite extreme
The indicator automatically detects whether it's an upleg or downleg
Step 2: Read the Harmonic PBR
Check the highlighted yellow row in the table: "PBR × √φ"
This is your chart scaling value
Step 3: Apply Chart Scaling (Optional)
For perfect geometric visualization:
Right-click on your chart's price axis
Select "Scale price chart only"
Enter the PBR × √φ value
The geometry will now display in perfect harmonic proportion
Step 4: Interpret the Geometry
Horizontal lines: Key support/resistance zones at phi extensions
Diagonal lines: Dynamic trend channels and future price-time balance points
Circle intersections: Natural harmonic turning points
Central diamond area: Core price-time equilibrium zone
Key Features
✅ Automatic swing detection - identifies upleg/downleg automatically
✅ Scale-invariant geometry - maintains proportions across timeframes
✅ Phi harmonic calculations - based on golden ratio mathematics
✅ Professional color scheme - clean, non-intrusive visuals
✅ Customizable display - toggle circles, lines, and table independently
✅ Smooth circle rendering - adjustable segments (16-360) for optimal smoothness
Settings
Show Horizontal Boundary Lines: Display phi extension levels
Show Rectangle Diagonal Lines: Display the geometric framework
Show Phi Harmonic Circles: Display circular geometry (optional)
Circle Smoothness: Adjust polyline segments (default: 96)
Colors: Fully customizable color scheme for all elements
Theory Background
This indicator draws inspiration from:
W.D. Gann's price-time squaring techniques
Bradley Cowan's geometric market analysis
Phi/golden ratio harmonic theory
Mathematical constants in market structure
Unlike traditional Fibonacci retracements, this tool uses √φ instead of φ as the primary scaling constant, creating a unique geometric relationship that "squares" price movement with time passage.
Best Practices
Use on significant swings - Works best on major swing highs/lows
Multiple timeframe analysis - Apply to different timeframes for confluence
Combine with other tools - Use alongside support/resistance and trend analysis
Respect the geometry - Pay attention when price interacts with geometric elements
Chart scaling optional - The geometry works at any scale, but scaling enhances visualization
Notes
The indicator draws geometry from left to right (from Nodal A to Nodal B)
All lines extend infinitely for future projections
The table shows real-time calculations for the selected range
Date range selection uses confirm dialogs to prevent accidental changes
Jenkins
Geometric Price-Time Triangle Calculator═══════════════════════════════════════════════════
GEOMETRIC PRICE-TIME TRIANGLE CALCULATOR
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Calculates Point C of a geometric triangle using different rotation angles from any selected price swing. Based on Bradley F. Cowan's Price-Time Vector (PTV) methods from "Four-Dimensional Stock Market Structures and Cycles."
📐 WHAT IT DOES
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Select two points (A and B) on any swing, choose an angle, and the indicator calculates where Point C would be mathematically. It's just vector rotation applied to price charts.
This shows you where Point C lands in both price AND time based on pure geometry - not a prediction, just a calculation.
🎯 FEATURES
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✓ 10 Different Angles
• Gann ratios: 18.435° (1x3), 26.565° (1x2), 45° (1x1), 63.435° (2x1), 71.565° (3x1)
• Other angles: 30°, 60°, 90°, 120°, 150°
✓ Visual Triangle
• Adjustable colors and opacity for points A, B, C
• Line styles: Solid, Dashed, Dotted
• Extend lines: None, Left, Right, Both
✓ Crosshair at Point C
• Shows where Point C is located
• Vertical line = bar position
• Horizontal line = price level
✓ Data Table
• Shows all calculations
• Price-to-Bar ratio
• Point C location (price and bars from A/B)
• Toggle on/off
🔧 HOW TO USE
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1. Pick your swing start date (Point A)
2. Pick your swing end date (Point B) - make sure these dates capture the actual high/low of your swing
3. Choose an angle from the dropdown
4. Look at Point C - that's where the geometry puts it
Different angles = different Point C locations. Whether price actually goes there is up to the market.
📊 THE ANGLES
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- 18.435° (1x3) - Shallow rotation
- 26.565° (1x2) - Moderate rotation
- 45° (1x1) - Gann's balanced ratio
- 60° - Equilateral triangle (default)
- 63.435° (2x1) - Steeper rotation
- 71.565° (3x1) - Very steep rotation
- 90° - Right angle
- 120°-150° - Obtuse angles
💡 PRACTICAL USE
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→ See where geometric patterns would complete
→ Test if your market respects certain angles
→ Find where multiple angles converge
→ Compare projected Point C to actual price action
→ Use 90° to see symmetrical price/time relationships
→ Backtest historical swings to see what worked
⚙️ HOW IT WORKS
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1. Takes your AB swing
2. Calculates the BA vector (reverse direction)
3. Normalizes price and time using Price-to-Bar ratio
4. Rotates the vector by your selected angle
5. Converts back to chart coordinates
Basic trigonometry. That's all it is.
📚 BACKGROUND
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Based on Bradley F. Cowan's Price-Time Vector (PTV) concept from "Four-Dimensional Stock Market Structures and Cycles" and W.D. Gann's geometric angle analysis. Cowan observed that markets sometimes complete geometric patterns. This tool calculates where those patterns would complete mathematically. Whether price actually respects these geometric relationships is something you need to test yourself.
⚠️ IMPORTANT
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- This is geometric calculation, not prediction
- Point C shows where the math puts it, not where price will go
- Some angles might work for your market, some won't
- Test it yourself on historical data
- Price-to-Bar Ratio stays constant regardless of angle
- Don't trade based on this alone
- Works on all timeframes and assets
🎨 CUSTOMIZATION
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- Show/hide triangle
- Individual colors for A, B, C points
- Adjust opacity (0-100)
- Line styles for each triangle side
- Extend lines left/right/both/none
- Show/hide data table
- Crosshair color and width
- Customizable table colors
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Concentric Geometry – Invariant MetricsConcentric Geometry – Invariant Metrics
This indicator demonstrates the invariant concept of a concentric circle around a selected price range. By anchoring two points (A & B), it calculates a set of ratios and slopes that remain consistent under concentric scaling of price and time. These invariants include the raw slope (ΔP/N), concentric slope, π-adjusted ratios, and √2 offsets — all of which can be used to explore deeper geometric relationships in the market.
What has been demonstrated here is not an “out-of-the-box” trading system. Instead, the outputs provide the raw invariant metrics from which the trader must derive their own ratios and extensions. For example, price-to-bar ratio inputs are not fixed — they need to be derived from the invariants themselves, and experimenting with them is the key to uncovering harmonic alignments and scaling behaviors.
Key features include:
• Range & Bars Analysis – Price range (ΔP) and bar count (N) between anchors.
• Core Invariants – Midpoint, radius (price and bar units), upper/lower bounds.
• Linear Slope Metrics – ΔP/N and √2 concentric slope.
• π-Adjusted Price/Bar – Harmonic arc-length ratio.
• Circumference & Offsets – Circle circumference, √2 and 1/√2 offsets in price and bar units.
This tool is best suited for traders studying market geometry, W.D. Gann principles, harmonic ratios, or the geometric methods of Michael Jenkins. It does not generate buy/sell signals — instead, it equips the trader with building blocks for geometric exploration.
Key point: The trader must experiment with the ratios derived from these metrics. Playing with different price-to-bar relationships unlocks the true potential of concentric market geometry, whether applied to dynamic anchored VWAPs, concentric overlays, or Vesica Piscis structures.
Use it to:
• Compare slopes across swings
• Derive new ratios from invariant metrics
• Anchor dynamic anchored VWAPs to concentric nodes
• Explore concentric or Vesica Piscis overlays
• Support advanced geometric trading strategies
