Conway's Game of Life

Exploring the Fascinating World of Cellular Automata

Evolution Rules: Neighbors < 2 → Death Neighbors 2-3 → Survival Neighbors > 3 → Death Neighbors = 3 → Reproduction

Generation: 0 | Population: 0 | Density: 0%

Grid Size: 50

Cell Size: 10

Evolution Speed: 10 gen/s

Initial Density: 30%

Preset Patterns

Show Grid Wrap Edges Color Mode

Statistics

Total Generations

Max Population

Avg Population

Growth Rate

Common Patterns

Still Lifes

Patterns that never change, such as block, beehive, loaf, boat

Oscillators

Patterns that repeat periodically, such as toad (2), beacon (2), pulsar (3)

Spaceships

Patterns that move across the grid, such as glider, lightweight spaceship (LWSS)

Guns

Patterns that produce spaceships indefinitely, such as Gosper glider gun

What is Conway's Game of Life?

Conway's Game of Life is a cellular automaton devised by British mathematician John Conway in 1970. Despite its simple rules, it can produce incredibly complex and diverse patterns, earning it the title of 'paradigm of complexity from simple rules'.

How to Play:

Click or drag on the grid to draw/erase cells

Select preset patterns to quickly load classic structures

Click 'Start' button to begin automatic evolution

Use 'Step' button to observe evolution generation by generation

Adjust speed slider to control evolution rate

Evolution Rules:

Underpopulation

Live cell dies with fewer than 2 neighbors

Survival

Live cell survives with 2 or 3 neighbors

Overpopulation

Live cell dies with more than 3 neighbors

Reproduction

Dead cell becomes alive with exactly 3 neighbors

Applications:

Computer Science: Parallel computing models, algorithm design, complex systems research

Biology: Population dynamics, ecosystem simulation, evolutionary algorithms

Physics: Phase transitions, critical phenomena, self-organization

Philosophy: Definition of life, emergent phenomena, complexity theory

Fun Facts:

Game of Life is Turing complete and can simulate any computer algorithm

Complete computers have been built in Game of Life (like the Tiktok machine)

Some patterns can 'calculate' mathematical problems, like prime number generators

Maximum population never exceeds about 37% of initial density