STARTING: 2024-11-26 13:13
ENDED: 2024-11-29 11:34
(The plan was doing it in python, but it wasn't fast enough, so I had to quickly learn OpenGL in C++)
This repository is a submodule of a challenges repository. Today's task is to generate and visualize the Julia Set. To see more challenges, visit the DailyChallenges repository.
This specific challenge was inspired by the Coding Train's video on the subject, and this is my take on it.
The Julia Set function can be defined as:
where z and c are complex numbers. The Julia Set is created by iterating the
function over the complex plane and determining which points converge to a
fixed value, and which points diverge to infinity. After an arbitrary number of
iterations, if the magnitude of z is less than 2, then the point is considered
to be in the Julia Set.
The more famous Mandelbrot Set could be considered a special case of the Julia Set,
because it uses different c values for each point in the mapping. In other words,
the Mandelbrot Set is a collection of all Julia Sets around their origins.
I still want to improve the code's performance, so it doesn't take as long on the sets that have more points reaching the max iterations.
Additionally, I want to add color to the visualization.
https://en.wikipedia.org/wiki/Mandelbrot_set