Conway’s Game of Life

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Life Lexicon

Soup

A random initial pattern, either contained within a small area, or alternatively filling the whole Life universe.

Finite soups probably have behaviors very different than infinite soups, but this is obviously unknown. Infinite soups may remain chaotic indefinitely since any reaction, no matter how rare, is bound to happen somewhere.

Soups can have an average density, with results varying based on that. See sparse Life for a discussion of what can happen at a low density.

Finite soups for sizes such as 16×16 (asymmetric) have been examined by the billions by scripts such as apgsearch to find interesting results. Many new oscillators and synthesis recipes have been discovered, as well as previously known rare patterns such as stabilized switch engines. In addition, soups are used to generate statistical census data, and to decide whether specific objects can be considered natural.

Soups can be fully random, or they can be forced to be symmetric. The results for these two types of soups can differ since symmetric soups tend to create large symmetrical objects at a much higher rate. Shown below is an unusual mirror-symmetric soup that produces a pufferfish and nothing else.

Game of Life pattern ’soup’

Game of Life Explanation

The Game of Life is not your typical computer game. It is a cellular automaton, and was invented by Cambridge mathematician John Conway.

This game became widely known when it was mentioned in an article published by Scientific American in 1970. It consists of a grid of cells which, based on a few mathematical rules, can live, die or multiply. Depending on the initial conditions, the cells form various patterns throughout the course of the game.

Rules

For a space that is populated:
Examples

Each cell with one or no neighbors dies, as if by solitude.

Each cell with four or more neighbors dies, as if by overpopulation.

Each cell with two or three neighbors survives.

For a space that is empty or unpopulated:

Each cell with three neighbors becomes populated.

More information

Video’s about the Game of Life

Stephen Hawkings The Meaning of Life (John Conway's Game of Life segment)
The rules are explained in Stephen Hawkings’ documentary The Meaning of Life
Inventing Game of Life (John Conway) - Numberphile
John Conway himself talks about the Game of Life

Interesting articles about John Conway

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