CA Research

Self-construction, growth, spaceships in other rules, and neural CA experiments.

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Exploring other rules

Cellular automata connect local rules with large-scale behavior. This collection focuses on rules beyond Conway’s Game of Life and experiments with learned local updates.

Construction and growth

In Serizawa, I built a Geminoid and found a four-cell quadratic-growth seed. Geminoid Particles uses a rule I designed to explore construction and self-destruction. The c/3 spaceship in Live Free or Die is another example of what a different rule makes possible.

Learned local updates

Neural CA MNIST connects this interest with AI: learned, step-specific local updates evolve a digit image through a sequence of states.

Conway’s Life discoveries, search tools, and physical Life constructions have their own Conway’s Game of Life collection.

Articles in this topic

5 articles
Both ends of Serizawa Geminoid build their next heads while the instruction tape joins them into a moving chain. The animation continues until both new heads have their completed circuitry.
ResearchDemonstrated result

Serizawa Geminoid

One of my first construction results: a smaller, more efficient Geminoid design in Serizawa, following my interest in Andrew Wade’s Gemini.

Both ends of Geminoid Particles build their next heads, then remove old circuitry, while the long instruction tape winds between them.
ResearchDemonstrated result

Geminoid Particles

A custom nine-state cellular automaton for exploring construction and self-destruction.

The original four-cell Serizawa seed evolving into a diamond-shaped pattern of growing particle streams.
ResearchDemonstrated result

Serizawa quadratic growth

Five-cell and later four-cell seeds with quadratic growth, posted in June 2014.

A hand-drawn digit input and the actual model outputs at steps 1, 10, 20, 35, and 50.
ProjectExperiment

Neural CA MNIST

A hand-drawn digit is the input; 50 local neural updates produce the evolving images shown in the animation.