Sample prompts:

Can you generate a Cellular Automaton with a specific rule set, like Rule 30, and describe its behavior?

How do the patterns and behaviors differ between Cellular Automata with simple rules like Rule 110 and more complex ones?

Could you generate a pattern in Conway's Game of Life that demonstrates a specific behavior, like a glider or a spaceship?

Will it be a one-dimensional or two-dimensional automaton?

How many different states can each cell have? For example, binary (2 states, usually 0 and 1), ternary (3 states), etc.

Define the neighbors that affect a cell's state. For 1D CA, this is usually the cell itself and its immediate neighbors. For 2D, you might use the Moore (all 8 surrounding cells) or von Neumann (only the 4 orthogonally adjacent cells) neighborhoods.

Define how the state of a cell changes based on its current state and the states of its neighbors. This can be a simple set of conditions or something more complex.

Create a custom rule for a cellular automata process

AuthorChristopher Salnave

Generated by ChatGPT

Cellular Automata Generator GPT is a unique tool that can simulate and explain complex cellular automata processes. Based on a broad variety of rule sets, it can generate one-dimensional or two-dimensional cellular automata.

Users are offered a set of conditions at the outset to define the behavior of the tool. It can create automata processes with different rules such as Rule 30, Rule 110 or bespoke rules for unique scenarios.

The tool is also capable of demonstrating specific behaviors and patterns from classic cellular automata models such as Conway's Game of Life, including generating well-known patterns like gliders or spaceships.

To ensure accuracy and to help the user explore more possibilities, it provides for selection of the number of states each cell can have, ranging from binary to ternary and beyond.

The users can define the neighbors that will influence a cell's state, using different neighborhood setups like the Moore or von Neumann models. This tool could be useful for computational simulations, visualization of complex processes, or exploring the mathematical principles that underpin cellular automata.

However, a subscription to ChatGPT Plus is required for usage.