Lorenz attractor.
The most famous chaotic attractor in history, discovered by Edward Lorenz in 1963.
Made with #python #numpy #pygfx

A nice 3D attractor.
Made with #python #numpy #pygfx

The iterates of the logistic map converging to Feigenbaum's universal function.
Made with #python #numpy #matplotlib

The Bak-Sneppen model: species in a circle, each with random fitness. Replace the weakest species (and its neighbors) with new random values. Cascading evolutionary avalanches emerge, showing self-organized criticality from simple rules.
Made with #python #numpy #matplotlib

"I used to feel guilty in Cambridge that I spent all day playing games, while I was supposed to be doing mathematics. Then I realized that playing games is math."
John H. Conway
Made with #python #numpy #matplotlib

3D Ising model simulating a liquid-vapor transition.
Made with #python #numpy #matplotlib

Bak, Tang & Wiesenfeld's sandpile model demonstrates Self-Organized Criticality perfectly: one grain triggers massive avalanches! Small events, large and non-local consequences - maybe also in markets, politics, ecology.
Made with #python #numpy #matplotlib

A simple MCMC (heat bath) simulation of the 3D Ising model in magnetic field, equivalent to the lattice gas-liquid model at finite temperature and chemical potential. A good excuse to try using voxels in @matplotlib
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Polynomial roots in loop!
Made with #python #numpy #sympy #matplotlib

Improved version!

Variations on Knuth's Twindragon
Made with #python #numpy #matplotlib