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Re:One-Hour Mandelbrot: Creating a Fractal on the Vintage Xe... by DaniFong on Monday June 19, 2017 @08:30PM (#14591414)
An amazing demonstration of the math behind some fractals, which runs on web gl, is Steven Witten's "How to Fold a Julia Fractal"

https://acko.net/blog/how-to-fold-a-julia-fractal/

Highly recommended

Re:One-Hour Mandelbrot: Creating a Fractal on the Vintage Xe... by sdwisely on Tuesday June 20, 2017 @09:32AM (#14594445)
I recommend these too:

Coding Challenge #21: Mandelbrot Set with p5.js - https://www.youtube.com/watch?v=6z7GQewK-Ks

VEX IN HOUDINI: MANDELBROT AND MANDELBULB - https://www.sidefx.com/tutorials/vex-in-houdini-mandelbrot-a...

The second link is Houdini specific but you should be able to follow along with the free version on win/linux/osx.