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Persistent Structures in the Code 1329 Cellular Automaton

A collection of the persistent structures in the k=3, r=1 totalistic code 1329 cellular automaton

These structures were given on page 287 of Stephen Wolfram\[CloseCurlyQuote]s \[OpenCurlyDoubleQuote]A New Kind of Science\[CloseCurlyDoubleQuote]

(4 columns, 14 rows)

Examples

Basic Examples

Retrieve the resource:

In[1]:=
ResourceObject["Persistent Structures the the Code 1329 Cellular \ Automaton"]
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Retrieve the default content:

In[2]:=
ResourceData["Persistent Structures the the Code 1329 Cellular \ Automaton"]
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Visualization

Plot the first 200 steps in evolution for the first 10 structures:

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ArrayPlot[CellularAutomaton[{1329, {3, 1}, 1}, {#Cells, 0}, 200], ImageSize -> {Automatic, 300}] & /@ Normal[Take[ ResourceData[ "Persistent Structures the the Code 1329 Cellular Automaton"], 10]]
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Show 2000 steps of evolution for the last structure in the collection:

In[4]:=
ArrayPlot[CellularAutomaton[{1329, {3, 1}, 1}, {#Cells, 0}, 2000]] &[ Normal[Last[ ResourceData[ "Persistent Structures the the Code 1329 Cellular Automaton"]]]]
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Wolfram Research, "Persistent Structures in the Code 1329 Cellular Automaton" from the Wolfram Data Repository. (2017) https://doi.org/10.24097/wolfram.40362.data

Source Metadata

  • Creator: Stephen Wolfram
  • Source: https://www.wolframscience.com/nksonline/page-287
  • Citation: Stephen Wolfram, “A New Kind of Science” (2002)

Publisher Information

  • Publisher of Record: Wolfram Research