Visualization of the Mandelbrot Set
What is the Mandelbrot Set?
The Mandelbrot set is a set of complex numbers that produces
intricate fractal structures when iterated through a simple
function.
How do we determine if a number is in the set?
- Start with a complex number c = a + bi, where a and b are the pixel coordinates on the screen
- Initialize z_0 = 0
- Apply the recursive formula: z_(n+1) = z_(n)² + c
-
If the sequence remains bounded, c is in the set;
otherwise, it diverges.
Code Implementation
The visualization is dynamically rendered in your browser using the lovely p5.js
library.