Famous 2D Cellular Automata

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

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

(6 columns, 32 rows)

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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