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Man and Beast 01: Constitutional Characters. Systematic naming of symmetric and forward-only coprime radial pieces.[All Comments] [Add Comment or Rating]
Ben Reiniger wrote on Sun, Jan 12 08:47 PM UTC in reply to Bn Em from Sat Jan 11 10:39 PM:

The correspondence between 3D and Hex in the link is indeed not with the Cubic lattice, but with the Rhombic‐Dodecahedral one — what Gilman terms ‘Xyrixa’

Can you expand on this? Xyrixa is a 3d geometry featuring slices that are rectangular and others that are hexagonal. Maybe the issue is that slice of the tessellation don't necessarily correspond nicely with the adjacency relation of the cells' centers?