Iterations
zn+1 = zn2 + c
Mandelbrot Set · IBM 1980

Infinite Complexity
from Finite Rules

How a single equation, iterated on a boundary, revealed the deepest structure hiding inside elementary arithmetic.

zn+1 = zn2 + c  ·  c ∈ M  ↔  |zn| ≤ 2 for all n