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Famous 2D Cellular Automata

Well-known 2D cellular automata are listed, such as Conway’s Game of Life

Originator: Ed Pegg, Jr.

The most popular named 2D Outer Totalistic Cellular Automata are detailed with their rules.

(6 columns, 32 rows)

Examples

Basic Examples

View the data:

In[1]:=
ResourceData["Famous 2D Cellular Automata"]
Out[1]=

Visualization

View the rule for Conway's Game of Life:

In[2]:=
ResourceData["Famous 2D Cellular Automata"]["Game of Life"]["Rule"]
Out[2]=

Process 20 steps of Conway's Game of Life starting from random data:

In[3]:=
ArrayPlot[ Nest[ResourceData["Famous 2D Cellular Automata"]["Game of Life"][ "Rule"][#] &, RandomInteger[{0, 1}, {100, 100}], 20], PixelConstrained -> True]
Out[3]=

View the output of the Stains rule:

In[4]:=
ArrayPlot[ Nest[ResourceData["Famous 2D Cellular Automata"]["Stains"][ "Rule"][#] &, CenterArray[RandomInteger[{0, 1}, {50, 50}], {100, 100}], 200]]
Out[4]=

Wolfram Research, "Famous 2D Cellular Automata" from the Wolfram Data Repository (2017)   https://doi.org/10.24097/wolfram.47654.data

Data Resource History

  • Date Created:

Source Metadata

  • Creator: Ed Pegg Jr

Data Downloads

Publisher Information

  • Publisher of Record: Wolfram Research