AI authored to showcase ironpad capabilities.

Conway's Game of Life

Conway's Game of Life is a zero-player cellular automaton devised by mathematician John Conway in 1970. It takes place on a 2D grid of cells, each either alive or dead.

Rules (B3/S23)

At each generation, every cell's fate is determined by its eight neighbors:

• Birth: A dead cell with exactly 3 live neighbors becomes alive.
• Survival: A live cell with 2 or 3 live neighbors stays alive.
• Death: All other live cells die (loneliness or overcrowding).

These simple rules give rise to astonishing complexity — gliders, oscillators, and even Turing-complete logic circuits.

This Notebook

We seed a 80×80 toroidal grid with an R-pentomino (a chaotic methuselah pattern) and a glider, then run 100 generations. The first cell renders the final state; the second shows a filmstrip of the evolution.

Emergent Behavior

Despite its three simple rules, the Game of Life produces rich emergent phenomena:

• Gliders travel diagonally across the grid indefinitely.
• Oscillators (blinkers, pulsars) cycle between fixed states.
• Methuselahs like the R-pentomino take hundreds of generations to stabilize, producing a burst of activity from a tiny seed.
• Glider guns produce an infinite stream of gliders.

Try Modifying

• Seed the grid with a Gosper glider gun or a random fill.
• Increase the grid size or number of generations.
• Experiment with different boundary conditions (fixed edges vs. toroidal wrapping).
• Try alternative rule sets: HighLife (B36/S23) adds a self-replicating pattern.