Game of Life

John Conway's mathematical universe β€” no players, only rules
Draw on the grid with your finger or mouse, or pick a shape below and stamp it anywhere. Then press Play and watch simple rules create endless surprise.
πŸ‘† Draw here, or stamp a shape
🐒 πŸ‡
Stamp a shape β€” tap the grid to place it
Generation 0 Population 0
population over time
newborn young adult elder ancient (stable)
Space play/pause   S step   R soup   C clear

Three rules. That's the whole game.

Every square on the grid is a cell that is either alive or dead. Each cell looks at its eight neighbors, and the whole grid updates at once:

🐣

Birth

A dead cell with exactly 3 live neighbors comes to life.

πŸ’ͺ

Survival

A live cell with 2 or 3 live neighbors stays alive.

πŸ’€

Death

Any other cell dies β€” too lonely, or too crowded.

Try the rules yourself

Tap the outer squares to add or remove neighbors. The dashed gold cell in the middle shows you its fate.

A universe from three rules

Despite its staggering simplicity, the Game of Life is Turing complete β€” given enough time and space, it can compute anything a computer can. Nobody designs the outcome. Complexity simply emerges from local interactions.

Over fifty years, explorers of this universe have discovered a whole zoo of creatures. Tap one to watch it live:

πŸͺ¨

Still Lifes

Frozen shapes that never change. They turn gold on the grid.

πŸ’«

Oscillators

Patterns that blink in a perfect loop, forever.

πŸš€

Spaceships

Shapes that rebuild themselves one step over β€” so they fly.

πŸ”«

Guns

Machines that fire an endless stream of gliders.

🌱

Methuselahs

Tiny seeds that erupt into chaos for hundreds of generations.

🌰

The Acorn

Seven cells that take 5,206 generations to settle down.

Why it matters

The Game of Life proves that spectacular complexity does not require complex rules. Simple local interactions can scale into rich global behavior β€” an idea at the heart of biology, neuroscience, economics, and distributed computing. If three rules can build spaceships, what can billions of neurons build?

Emergence Self-organization Turing complete Cellular automata