Persistent Structures in the Code 357 Cellular Automaton

A collection of the persistent structures in the k=3, r=1 totalistic code 357 cellular automaton

These structures were given on page 286 of Stephen Wolfram’s “A New Kind of Science”

(4 columns, 6 rows)

Examples

Basic Examples

Retrieve the resource:

In[1]:=
ResourceObject["Persistent Structures in the Code 357 Cellular \
Automaton"]
Out[1]=

Retrieve the default content:

In[2]:=
ResourceData["Persistent Structures in the Code 357 Cellular \
Automaton"]
Out[2]=

Plot the first 200 steps in evolution for these structures:

In[3]:=
ArrayPlot[CellularAutomaton[{357, {3, 1}, 1}, {#Cells, 0}, 200], 
   ImageSize -> {Automatic, 300}] & /@ 
 Normal@ResourceData[
   "Persistent Structures in the Code 357 Cellular Automaton"]
Out[3]=

Find the repeating element of the third structure:

In[4]:=
ArrayPlot@
 Last@FindTransientRepeat[
   CellularAutomaton[{357, {3, 1}, 
     1}, {Normal@
      ResourceData[
        "Persistent Structures in the Code 357 Cellular Automaton"][[
       3, "Cells"]], 0}, 200],
   3]
Out[4]=

Wolfram Research, "Persistent Structures in the Code 357 Cellular Automaton" from the Wolfram Data Repository. (2017) https://doi.org/10.24097/wolfram.54823.data

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