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Conway's Game of Life
What is it?
Conway's Game of Life is a cellular automaton created by mathematician John Conway in 1970. Despite being called a "game," it requires no players - it's a zero-player game that evolves based on its initial state.
The Rules
Four Simple Rules:
- Underpopulation: Any living cell with fewer than 2 neighbors dies
- Survival: Any living cell with 2 or 3 neighbors lives on
- Overpopulation: Any living cell with more than 3 neighbors dies
- Reproduction: Any dead cell with exactly 3 neighbors becomes alive
How to Use This Simulator
- Click cells to toggle them between alive (blue) and dead (white)
- Press Play to start the simulation
- Adjust speed with the slider to control how fast generations advance
- Press Clear to reset the grid and start over
- Pause anytime to edit the grid mid-simulation
Why is it Important?
The Game of Life demonstrates how complex behaviors can emerge from simple rules. It's been used to study:
- Emergence - complex patterns from simple interactions
- Self-organization - how order can arise spontaneously
- Computation - it's Turing complete, meaning it can simulate any computer program
- Biology - modeling population dynamics and cellular behavior
Try These Famous Patterns
Experiment! Try creating random patterns and see what emerges. Some will die out, others will stabilize, and some might surprise you with their complexity!