Fun contents
Mathematics
Mathematics becomes especially interesting when you can see its patterns, change its parameters, and explore what happens next.
This is a home for visual explanations and interactive explorations of fractals, chaos, probability, geometry, and other mathematical curiosities.
Explorations
Fractals
A short rule, applied again to every piece it just made, is enough to build a curve of infinite length, a triangle whose painted area drains away, or a tree that only knows how to split.
The page follows three of them: the Koch snowflake, the Sierpinski triangle, and a recursive tree. Each section has the formulas for length, area, and dimension, and a short film of the rule running.
Hidden order
Digits, escaping number orbits, chaotic populations, random bounces, and human language can all look too messy to have a shape. This five-part series finds the short mathematical rule hiding inside each one.