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The simplest nontrivial cellular automaton would be one-dimensional, with two possible states per cell, and a cell's neighbors defined as the adjacent cells on either side of it. A cell and its two neighbors form a neighborhood of 3 cells, so there are 2 3 = 8 possible patterns for a neighborhood.
Xlife is a cellular-automaton laboratory by Jon Bennett. The standard UNIX X11 Game of Life simulation application for a long time, it has also been ported to Windows. It can handle cellular automaton rules with the same neighbourhood as the Game of Life, and up to eight possible states per cell. [75]
In von Neumann's cellular automaton, the finite state machines (or cells) are arranged in a two-dimensional Cartesian grid, and interface with the surrounding four cells. As von Neumann's cellular automaton was the first example to use this arrangement, it is known as the von Neumann neighbourhood. The set of FSAs define a cell space of ...
Golly is a tool for the simulation of cellular automata.It is free open-source software written by Andrew Trevorrow and Tomas Rokicki; [3] it can be scripted using Lua [1] or Python.
Toffoli and Margolus also suggest that this rule can be used to implement a local synchronization rule that allows any Margolus-neighborhood block cellular automaton to be simulated using an asynchronous cellular automaton. In this simulation, each cell of an asynchronous automaton stores both a state for the simulated automaton and a second ...
Technically, they are not cellular automata at all, because the underlying "space" is the continuous Euclidean plane R 2, not the discrete lattice Z 2. They have been studied by Marcus Pivato. [24] Lenia is a family of continuous cellular automata created by Bert Wang-Chak Chan. The space, time and states of the Game of Life are generalized to ...
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