Audiovisual explorer of the integer circle algorithm utilizing GPU rendering. Made using the sokol headers.
Inspired by Fractal Sound Explorer.
Given the parameters delta and epsilon and an initial point x, y, we iteratively
update its coordinates by
x -= floor(delta * y)
y += floor(epsilon * x)
x -= floor(delta * y)
A three step rather than the more well-known two step algorithm is used, as the patterns generated by the latter display a distractive 45 degree tilt.
The points are colored based on the length of their orbits and the coordinates are fed to left and right audio channels.
make
It should be possible to build this project for every platform sokol supports, however, only Linux and WebAssembly have been tried so far. To build WebAssembly, run
make integer_circle.js
Building the WebAssembly requires emscripten. Suggestions to adapt the project for simpler tooling are welcome.
AGPL