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In[]:=
PacletInstall["https://82-333562015-gh.circle-artifacts.com/0/BuiltPaclets/PostTagSystem-0.0.2.paclet"]
Out[]=
PacletObject
Name: PostTagSystem
Version: 0.0.2
In[]:=
PacletInstall["https://97-333562015-gh.circle-artifacts.com/0/BuiltPaclets/PostTagSystem-0.0.8.paclet"]
Out[]=
PacletObject
Name: PostTagSystem
Version: 0.0.8
In[]:=
Get["PostTagSystem`"]
In[]:=
AllInits[count_]:=Tuples[{Range[0,2],IntegerDigits[#,2,count]&/@Range[0,2^count-1]}];
In[]:=
AllInits[min_;;max_]:=Catenate[AllInits/@Range[min,max]];
Compressed initialization + phase
In[]:=
AllInits[3]
Out[]=
{{0,{0,0,0}},{0,{0,0,1}},{0,{0,1,0}},{0,{0,1,1}},{0,{1,0,0}},{0,{1,0,1}},{0,{1,1,0}},{0,{1,1,1}},{1,{0,0,0}},{1,{0,0,1}},{1,{0,1,0}},{1,{0,1,1}},{1,{1,0,0}},{1,{1,0,1}},{1,{1,1,0}},{1,{1,1,1}},{2,{0,0,0}},{2,{0,0,1}},{2,{0,1,0}},{2,{0,1,1}},{2,{1,0,0}},{2,{1,0,1}},{2,{1,1,0}},{2,{1,1,1}}}
In[]:=
PostTagSystem[AllInits[0;;5]]["StateGraph"]
Out[]=
In[]:=
Graph[PostTagSystem[AllInits[0;;5]]["StateGraph"],GraphLayout"LayeredDigraphEmbedding",AspectRatio1/2]
Out[]=
In[]:=
PostTagSystem[AllInits[0;;3]]["StateGraph"]
Out[]=
Uncompressing
{1,{0,1,0}}{0,_,_,1,_,_,0,_}
Phase 0:
{XXXX, x, _, _}
Phase 2:
{XXXX,x}
Phase 1:
{XXXX,x,_}
Phase is the length of the whole uncompressed, mod 3
In[]:=
PostTagSystem[AllInits[0;;5]]["Properties"]
Out[]=
{EvolutionObject,Properties,StateCount,StateGraph,State,CycleSources}
In[]:=
PostTagSystem[AllInits[0;;6]]["StateGraph"]
Out[]=
In[]:=
WeaklyConnectedGraphComponents[PostTagSystem[AllInits[0;;6]]["StateGraph"]]
Out[]=
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Largest components

Transient Lengths

[[[ We want just the inits; this isn’t that ... ]]]

New Version

Raw version

Indicators

Halting time vs. init number
Distribution of cycle times vs. init number
Generational evolution

Running the champion

should be puffed out by interspersing _ , _

NKS implementation

Compilation

Queue version

Steps: 20,858,069

More compilation

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