Maths

Computational explorations of mathematical concepts, each with the code that produced it.

• Aperiodic Tiles — Penrose, Ammann–Beenker and hat tilings, built in the browser and explored by pan and zoom.
• Bertrand’s Paradox — one question about a random chord, four ways of drawing one, and four different answers, sampled live and reduced to the single density that separates them.
• Euler Spiral — the curve whose curvature grows in proportion to the distance along it, built three ways in the browser: the Fresnel integrals, the same spiral walked out a step at a time, and the transition curve roads and railways are made from.
• Mandelbrot Set — the numbers c whose orbit under z → z² + c stays bounded, drawn live and to the floor of double precision, with Julia sets picked off the parameter plane and orbits you can watch settle into a cycle.

All four run live in the browser, on a canvas with no libraries, and each links its own source from the page.