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{1,2}{2,2}

In[]:=
rules=Import["https://www.wolframcloud.com/obj/wolframphysics/Data/RuleEnumerations/12-22c.wxf"];
In[]:=
gres={#[[1]],If[Head[#[[2]]]=!=Graph,#[[2]],CanonicalGraph[#[[2]]]]}&/@ResourceFunction["ParallelMapMonitored"][Function[ru,TimeConstrained[With[{gs=CausalConnectionGraph[ResourceFunction["WolframModel"][ru,Automatic,#,"LayeredCausalGraph"]&,7,13]},{ru,IndexGraph[gs]}],5]],rules];
In[]:=
CountsFramedGraphLast[#],ImageSize{80,80},EdgeStyleDirective
,Thickness[Large],VertexStyle
,VertexSize.15,FrameStyleLightGray&/@gres
Out[]=
In[]:=
Length[rules]
Out[]=
73

{1,2}{3,2}

In[]:=
rules=Import["https://www.wolframcloud.com/obj/wolframphysics/Data/RuleEnumerations/12-32c.wxf"];
In[]:=
gres={#[[1]],If[Head[#[[2]]]=!=Graph,#[[2]],CanonicalGraph[#[[2]]]]}&/@ResourceFunction["ParallelMapMonitored"][Function[ru,TimeConstrained[With[{gs=CausalConnectionGraph[ResourceFunction["WolframModel"][ru,Automatic,#,"LayeredCausalGraph"]&,3,8]},{ru,IndexGraph[gs]}],5]],rules];
In[]:=
CountsFramedGraphLast[#],ImageSize{80,80},EdgeStyleDirective
,Thickness[Large],VertexStyle
,VertexSize.15,FrameStyleLightGray&/@gres
Out[]=

{2,2}{4,2}

In[]:=
rules=Import["https://www.wolframcloud.com/obj/wolframphysics/Data/RuleEnumerations/22-42c.wxf"];
In[]:=
gres={#[[1]],If[Head[#[[2]]]=!=Graph,#[[2]],CanonicalGraph[#[[2]]]]}&/@ResourceFunction["ParallelMapMonitored"][Function[ru,TimeConstrained[With[{gs=CausalConnectionGraph[ResourceFunction["WolframModel"][ru,Automatic,#,"LayeredCausalGraph"]&,3,8]},{ru,IndexGraph[gs]}],5]],rules];
(kernel 13)
General::cdir:Cannot set current directory to 1ee.
LinkObject
:Unable to communicate with closed link LinkObject[50270@10.20.50.7,50271@10.20.50.7,1804,67].
KernelObject
:Subkernel connected through KernelObject
Name: macpro-basement
KernelID: 57
appears dead.
Parallel`Developer`QueueRun
::req
:Requeueing evaluations {225} assigned to KernelObject
Name: macpro-basement
State: defunct
.
LaunchKernels
:Kernel KernelObject
Name: macpro-basement
State: defunct
resurrected as KernelObject
Name: macpro-basement
KernelID: 94
.
LinkObject
:Unable to communicate with closed link LinkObject[50260@10.20.50.7,50261@10.20.50.7,1799,62].
KernelObject
:Subkernel connected through KernelObject
Name: macpro-basement
KernelID: 52
appears dead.
Parallel`Developer`QueueRun
::req
:Requeueing evaluations {610} assigned to KernelObject
Name: macpro-basement
State: defunct
.
LaunchKernels
:Kernel KernelObject
Name: macpro-basement
State: defunct
resurrected as KernelObject
Name: macpro-basement
KernelID: 95
.
Part
:Part specification $Aborted1 is longer than depth of object.
Part
:Part specification $Aborted2 is longer than depth of object.
Part
:Part specification $Aborted2 is longer than depth of object.
General
:Further output of Part::partd will be suppressed during this calculation.
In[]:=
Length[gres]
Out[]=
40405
In[]:=
Count[gres,{_Rule,_}]
Out[]=
39607
In[]:=
CountsFramedGraphLast[#],ImageSize{80,80},EdgeStyleDirective
,Thickness[Large],VertexStyle
,VertexSize.15,FrameStyleLightGray&/@Cases[gres,{_Rule,_}]
Out[]=
In[]:=
(#[[1,2]]->ResourceFunction["InteractiveListSelector"][ResourceFunction["ParallelMapMonitored"][ResourceFunction["WolframModel"][#,Automatic,10,{"LayeredCausalGraph","FinalStatePlot"}]#&,First/@#]])&/@Select[GatherBy[gres,Last],Length[#]<200&]
Out[]=

summary

“Interesting Rules”

String Systems

This has a hyperbolicity issue......

Causal Invariant

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