This site is under perpetual construction, meaning that all pages are being continually,
albeit slowly, improved and extended.
The Frog of Abydos 𓆏
will let you know, when there is a content gap yet to be filled.
Jump right to the mathematics of monodromy groups.
This flying carpet is actually a strange attractor of the discrete Lotka-Volterra system. Explore the details, and see an even more astounding version inside.
No mathematical/physical website would be complete without the double pendulum.
The Crab Fractal is a completely new discovery - a Fatou set in polynomial maps that I am currently studying.
The gravitation 3-body a problem. A simple playground for testing numerical integration with the modified midpoint method and others.
Tesselation of the plane, based on a rhomboidal grid. The edges and vertices are at your disposal - give them a drag (and share your results).
An animated Poincare section. A non-autonomous Hamiltonian system gives a time-dependent set of crossing points.
What is "monodromy" anyway?
Zoom into the infinite continued fraction of π, and learn about the involved algorithms.
And endless game of go (囲碁).
Dithered frogs.
Also: toads.
Simulation of the simulation argument: an interactive model for civilization birth, growth and demise, counting their simulated individuals.
A many-body simulation of point-like “stars” (4800 of them). No mean field approximation, pure pairwise gravity with vanilla leapfrog method in js.
The Twin Dragon fractal is neatly connected to number systems with complex base. Have you ever wondered what it sounds like?