An amazing (and often beautiful) variety of unique 2-dimensional patterns can be discovered by graphing the following parametric equation:
x = cos(At) + sin(Bt)
y = cos(Ct) + sin(Dt)
where A, B, C, and D are arbitrary constants, and t increments upward towards infinity on every frame.
It's amazing how minute adjustments to A, B, C, and D (sometimes differing by only by 0.01) can produce wildly different results. It's important to note that although many examples in the gallery below give the illusion of 3D, they are entirely 2-dimensional.
Below you can find a live, editable demo as well as a gallery of interesting combinations I've found. If you come up with your own interesting pattern, I'd love to see it!
A rasterized perlin noise field rendered in WebAssembly. Uses a custom all-WebAssembly port of processing/p5.js' perlin noise implementation.
3D particle simulation of the Lorenz strange attractor using 30,000 particles. Use arrow keys or drag/touch the window to change the camera position. All physics/3d projection code was written from scratch in WebAssembly and was inspired by ssloy's tinyrenderer: https://github.com/ssloy/tinyrenderer
An implementation of the classic Conway's Game Of Life, hand written in WebAssembly.
An ever-contracting and expanding flower shape. Uses a custom all-WebAssembly port of processing/p5.js' perlin noise implementation.
3D particle waves. Use arrow keys or drag/touch the window to change the camera position.
3D Terrain Generator and 3D Water Emulator are two projects that draw heavily from one another. They both use Perlin noise for generating shapes and movement but in two different ways. 3D Terrain keeps each vertex "static" once it has been generated, whereas 3D Water generates a new random offset based on it's current location at every frame, creating a more dynamic randomized effect. For either project, use mouse or drag/touch the window to change camera position.
Terrain: 2241 bytes
Water: 2288 bytes
Water (Low-fi/ASCII version): 2775 bytes
More demos coming soon!