Cellular Automata for Houdini

A cellular automaton is model studied in computer science, mathematics, physics, or theoretical biology, that help us to visualize evolving patterns based on simple rules of life and death.

Game of life is the most famous cellular automaton: and it works like this:

The universe of the Game of Life is an infinite, two-dimensional grid of square cells, each of which is in one of two possible states, alive or dead, (or populated and unpopulated, respectively). Every cell interacts with its eight neighbours, which are the cells that are horizontally, vertically, or diagonally adjacent. At each step in time, the following transitions occur:

Any live cell with fewer than two live neighbours dies, as if by underpopulation.

Any live cell with two or three live neighbours lives on to the next generation.

Any live cell with more than three live neighbours dies, as if by overpopulation.

Any dead cell with exactly three live neighbours becomes a live cell, as if by reproduction. or more simple : Birth = 3 , Survive = 2,3

There are 2 power to18 = 262,144 possible Life-like rules, only a small fraction of which have been studied in any detail. The present could simulate all of them

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