"The part contains the pattern of the whole. Break a branch from a tree, and you hold a smaller tree in your hands." — Benoit Mandelbrot
The Algorithm of Life
Nature discovered fractals long before mathematics gave them a name. Every tree follows the same simple rule: divide, angle, repeat. From trunk to twig, the pattern persists.
Scale Invariance
Zoom into a branch. You find smaller branches. Zoom again. The pattern continues. At what point does branch become twig? The boundary dissolves under examination.
Infinite Complexity
A finite rule generates infinite detail. This is the magic of recursion: simplicity breeding complexity, order emerging from repetition.