Conway's Game of Life illustrates the same principle as
the Mandelbrot set,
namely that complex structures can emerge from an astonishingly small and simple set of rules.
Game of Life – 2D cellular automaton
This visualization shows Conway’s Game of Life, a simple mathematical model
where complex behavior emerges from very simple rules.
The space is divided into a grid of cells.
Each cell is either:
alive (yellow pixel), or
dead (black pixel).
Rules of the game
At each time step, every cell updates simultaneously based on its eight neighbors:
A living cell survives if it has 2 or 3 living neighbors
A dead cell becomes alive if it has exactly 3 living neighbors