OPEN-SOURCE SCRIPT
Mandelbrot Set
The Mandelbrot set represents a set of complex numbers with distinctive and very well known intricate geometric properties. Here I have attempted to implement it in Pinescript leveraging tables.
The defining formula for the set is:
If, after a certain number of iterations, the magnitude of the complex number remains bounded (does not diverge to infinity), the point is considered part of the Mandelbrot set.
The Mandelbrot set exhibits intricate and infinitely detailed fractal patterns, characterized by self-similarity at different scales. Due to limitations in Pinescript and the number of possible table cells (Pinescript is not designed for this at all and this is merely a showcase of how flexible & great Pinescript can be it is) the resolution over this set is low.
Users can zoom in and out of the set via the provided inputs.
The values in each cell represent the number of iterations required for the corresponding point in the Mandelbrot set to escape a certain threshold.
The defining formula for the set is:
Pine Script®
Zn+1 = Zn2 + C
If, after a certain number of iterations, the magnitude of the complex number remains bounded (does not diverge to infinity), the point is considered part of the Mandelbrot set.
The Mandelbrot set exhibits intricate and infinitely detailed fractal patterns, characterized by self-similarity at different scales. Due to limitations in Pinescript and the number of possible table cells (Pinescript is not designed for this at all and this is merely a showcase of how flexible & great Pinescript can be it is) the resolution over this set is low.
Users can zoom in and out of the set via the provided inputs.
The values in each cell represent the number of iterations required for the corresponding point in the Mandelbrot set to escape a certain threshold.
Open-source script
In true TradingView spirit, the creator of this script has made it open-source, so that traders can review and verify its functionality. Kudos to the author! While you can use it for free, remember that republishing the code is subject to our House Rules.
For quick access on a chart, add this script to your favorites — learn more here.
Disclaimer
The information and publications are not meant to be, and do not constitute, financial, investment, trading, or other types of advice or recommendations supplied or endorsed by TradingView. Read more in the Terms of Use.
Open-source script
In true TradingView spirit, the creator of this script has made it open-source, so that traders can review and verify its functionality. Kudos to the author! While you can use it for free, remember that republishing the code is subject to our House Rules.
For quick access on a chart, add this script to your favorites — learn more here.
Disclaimer
The information and publications are not meant to be, and do not constitute, financial, investment, trading, or other types of advice or recommendations supplied or endorsed by TradingView. Read more in the Terms of Use.