The Ultimate Still Life Collection: 50+ Stable Patterns

Explore over 50 stable still life patterns in Conway's Game of Life, from simple blocks to complex formations, perfect for enthusiasts and builders.

angen.ai
June 13, 2024
2 min read
cellular automata
patterns
mathematics
complexity
still lifes

The Ultimate Still Life Collection: 50+ Stable Patterns

Still lifes are patterns that never change - they represent perfect equilibrium in Conway's Game of Life. From simple 4-cell blocks to complex 50+ cell formations, still lifes form the building blocks of larger constructions.

The Most Basic Still Lifes

4-cell still lifes: The Block is the simplest, consisting of a 2×2 square. The Tub forms a hollow square.

5-cell still lifes: The Boat is the only 5-cell still life, resembling its nautical namesake.

6-cell still lifes: Include the Beehive (most common), Loaf, Ship, and Snake.

Medium Complexity Still Lifes

7-8 cells: Long boat, Mango, Shillelagh

9-10 cells: Hat, Pond, Long ship

11-15 cells: Beehive with tail, Honey farm, Aircraft carrier

Exotic Still Lifes

Pseudo still lifes: Patterns like Bi-block that appear stable but consist of multiple components.

Weld patterns: Still lifes formed by joining smaller ones, such as Loaf siamese loaf.

Eaters: Special still lifes like Eater 1 that can absorb gliders and other patterns.

Record Holders

  • Most common 8-bit: Mango
  • Most common 10-bit: Boat with tail
  • Largest natural: Various 20+ bit patterns found in random soups

Still Life Synthesis

Many still lifes can be created through glider synthesis - colliding gliders in precise patterns to create the desired still life. This technique is crucial for construction projects.

Practical Applications

Still lifs serve as:

  • Catalysts: Participate in reactions without being consumed
  • Stabilizers: Hold oscillators and spaceships in specific phases
  • Building blocks: Components of larger engineered patterns