it also looks like twisted loops of vertex-plenum linked polyhedra frames might also occur, but I'll get to them soon.
@Chaofluo, @ikefeitler:
I don't know about edge-plenum linked tetrahedra.
purple and black: edge-plenum linked hexahedra(cubes) frames
/half-density vertex-plenum linked hexahedra or dodecahedra/
a springier edge-plenum linked variant of hexahedrapic.twitter.com/nUuPpASD2O
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Also weaving these: https://math.stackexchange.com/questions/46212/interesting-implicit-surfaces-in-mathbbr3/46222 … but that's also got to wait. I might not complete an exhaustive taxonomy by the end of the month, and I may extend my latticing a bit into November.
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and for the sgi logo chainmail analogues: a Hamiltonian circuit which covers each edge twice. https://blogs.ubc.ca/mayo615/tag/sgi-logo/ …
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@ikefeitler some of these can be constructed as unions of unconnected monomer lattices in free space which are rotates and translates of one another, to simplify their construction.Show this threadThanks. Twitter will use this to make your timeline better. UndoUndo
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