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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.

Examples

Basic Examples

Retrieve the ResourceObject:

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

View the data:

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

Visualization

View the rule for Conway's Game of Life:

In[3]:=
ResourceData["Famous 2D Cellular Automata"]["Game of Life"]["Rule"]
Out[3]=

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

In[4]:=
ArrayPlot[
 Nest[ResourceData["Famous 2D Cellular Automata"]["Game of Life"][
     "Rule"][#] &, RandomInteger[{0, 1}, {100, 100}], 20], 
 PixelConstrained -> True]
Out[4]=

View the output of the Stains rule:

In[5]:=
ArrayPlot[
 Nest[ResourceData["Famous 2D Cellular Automata"]["Stains"][
     "Rule"][#] &, 
  CenterArray[RandomInteger[{0, 1}, {50, 50}], {100, 100}], 200]]
Out[5]=

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

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