“The universe of the Game of Life is an infinite, two-dimensional orthogonal grid of square cells, each of which is in one of two possible states, live 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.

These rules, which compare the behavior of the automaton to real life, can be condensed into the following:

Any live cell with two or three live neighbours survives.

Any dead cell with three live neighbours becomes a live cell.

All other live cells die in the next generation. Similarly, all other dead cells stay dead.

The initial pattern constitutes the seed of the system.”

computer programs simulating game of life



https://www.artnome.com/news/2020/7/12/the-game-of-life-emergence-in-generative-art https://aperiodical.com/2012/08/a-glider-on-an-aperiodic-cellular-automaton-exists/

a favorite seed

One of the patterns francis likes most is the R-pentomino


“Hashlife is a memoized algorithm for computing the long-term fate of a given starting configuration in Conway’s Game of Life and related cellular automata, much more quickly than would be possible using alternative algorithms that simulate each time step of each cell of the automaton. The algorithm was first described by Bill Gosper in the early 1980s while he was engaged in research at the Xerox Palo Alto Research Center. Hashlife was originally implemented on Symbolics Lisp machines with the aid of the Flavors extension.”


game of life in ruby


game of life in game of life

https://www.youtube.com/watch?v=xP5-iIeKXE8 http://otcametapixel.blogspot.com/ https://conwaylife.com/wiki/OTCA_metapixel https://github.com/mrphlip/life3/tree/main/life2

games in game of life


games incorporating game of life


computers in game of life


other cellular automata

https://github.com/ShprAlex/SproutLife https://www.youtube.com/watch?v=KJe9H6qS82I