Conway’s Game of Life in C# Avalonia
Conway’s Game of Life is a cellular automaton devised by the British mathematician John Horton Conway in 1970. It’s a zero-player game, which means its progression is determined by its initial state, with no further input from humans. The “game” is played on an infinite grid of square cells, each of which is in one of two possible states, alive or dead. Every cell interacts with its eight neighbors, and the state of each cell evolves in discrete time steps according to a set of simple rules. Here’s Conway’s Game of Life implemented in C#.
Conway’s Game of Life is Turing complete. This means that, in principle, anything that can be computed algorithmically can be simulated within this cellular automaton. As a result, it can simulate a universal Turing machine, and it’s possible to encode any algorithm to run within the Game of Life, given enough time and space.