Simplified version of previous manifold graphs
Simplified version of previous manifold graphs
[ ColoredNetworks-02.nb ]
[ ColoredNetworks-02.nb ]
Just delete the first node in each 4-edge
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HypergraphPlot/@WolframModel[{{{2,3,1},{5,6,4},{2,5},{5,2}}{{1,8,7},{3,10,9},{4,12,11},{6,14,13},{8,13},{7,10},{10,7},{9,12},{12,9},{11,14},{14,11},{13,8}}},{{2,3,4},{6,7,8},{2,6},{3,7},{4,8},{6,2},{7,3},{8,4}},6,"StatesList"]
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HypergraphPlot/@WolframModel[{{{2,3,1},{5,6,4},{2,5},{5,2}}{{1,8,7},{3,10,9},{4,12,11},{6,14,13},{8,13},{7,10},{10,7},{9,12},{12,9},{11,14},{14,11},{13,8}}},{{0,0,0},{0,0,0},{0,0},{0,0}},6,"StatesList"]
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HypergraphPlot/@WolframModel[{{{2,3,1},{5,6,4},{2,5},{5,2}}{{1,8,7},{3,10,9},{4,12,11},{6,14,13},{8,13},{7,10},{10,7},{9,12},{12,9},{11,14},{14,11},{13,8}}},{{0,0,0},{0,0,0},{0,0},{0,0},{0,0},{0,0},{0,0},{0,0}},6,"StatesList"]
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HypergraphPlot/@WolframModel[{{{2,3,1},{5,6,4},{2,5},{5,2}}{{1,8,7},{3,10,9},{4,12,11},{6,14,13},{8,13},{7,10},{10,7},{9,12},{12,9},{11,14},{14,11},{13,8}}},{{0,0,0},{0,0,0},{0,0},{0,0},{0,0},{0,0}},6,"StatesList"]
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HypergraphPlot/@WolframModel[{{{2,3,1},{5,6,4},{2,5},{5,2}}{{1,8,7},{3,10,9},{4,12,11},{6,14,13},{8,13},{7,10},{10,7},{9,12},{12,9},{11,14},{14,11},{13,8}}},{{0,0,0},{0,0,0},{0,0},{0,0},{0,0},{0,0},{0,0}},6,"StatesList"]
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This rejects something that can’t be made into the manifold.....
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HypergraphPlot/@WolframModel[{{{2,3,1},{5,6,4},{2,5},{5,2}}{{1,8,7},{3,10,9},{4,12,11},{6,14,13},{8,13},{7,10},{10,7},{9,12},{12,9},{11,14},{14,11},{13,8}}},{{0,0,0},{0,0,0},{0,0},{0,0},{0,0},{0,0},{0,0},{0,0},{0,0}},6,"StatesList"]
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HypergraphPlot/@WolframModel[{{{2,3,1},{5,6,4},{2,5},{5,2}}{{1,8,7},{3,10,9},{4,12,11},{6,14,13},{8,13},{7,10},{10,7},{9,12},{12,9},{11,14},{14,11},{13,8}}},{{0,0,0},{0,0,0},{0,0},{0,0},{0,0},{0,0},{0,0},{0,0},{0,0},{0,0}},6,"StatesList"]
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Case 5 has different dimensions in different places
What are possible “seed manifolds”?
What are possible “seed manifolds”?
What is the minimal hypergraph which can be considered a discrete manifold?
What is the minimal hypergraph which can be considered a discrete manifold?
1,2 3,2
1,2 3,2
(Nothing interesting)
(Nothing interesting)
Single edge LHS’es can’t lead to anything interesting, except just replicated patterns.
2,2 3,2
2,2 3,2