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Persistent Structures in the Code 20 Cellular Automaton

The known persistent structures in the k=2, r=2 totalistic code 20 cellular automaton

These structures were given on page 284 of A New Kind of Science (Wolfram, 2002)

(4 columns, 20 rows)

Examples

Basic Examples

Retrieve the resource:

In[1]:=
ResourceObject["Persistent Structures in the Code 20 Cellular Automaton"]
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Retrieve the default content:

In[2]:=
ResourceData["Persistent Structures in the Code 20 Cellular Automaton"]
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Visualization

Plot the first 100 steps in evolution for the first 10 structures:

In[3]:=
ArrayPlot[CellularAutomaton[{20, {2, 1}, 2}, {#Cells, 0}, 100], ImageSize -> {Automatic, 200}] & /@ Normal[Take[ ResourceData[ "Persistent Structures in the Code 20 Cellular Automaton"], 10]]
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Reproduce the images on page 284 of A New Kind of Science:

In[4]:=
Row[Map[ ArrayPlot[ Flatten@{Table[0, 3], #, Table[0, 3]} & /@ CellularAutomaton[ {20, {2, 1}, 2}, {#Cells, 0}, {200, If[#Shift == 0, Automatic, 40]} ], ImageSize -> {Automatic, 200}] &, Normal[ Take[ResourceData[ "Persistent Structures in the Code 20 Cellular Automaton"], 13][ Select[#Shift >= 0 &]]] ]]
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Analysis

Wolfram Research, "Persistent Structures in the Code 20 Cellular Automaton" from the Wolfram Data Repository (2017)   https://doi.org/10.24097/wolfram.39328.data

Data Resource History

  • Date Created:

Source Metadata

  • Creator: Stephen Wolfram
  • Source: https://www.wolframscience.com/nksonline/page-284
  • Citation: Stephen Wolfram, "A New Kind of Science" (2002)

Publisher Information

  • Publisher of Record: Wolfram Research