Polyhedra and packings from hyperbolic honeycombs [Applied Mathematics]

We derive more than 80 embeddings of 2D hyperbolic honeycombs in Euclidean 3 space, forming 3-periodic infinite polyhedra with cubic symmetry. All embeddings are “minimally frustrated,” formed by removing just enough isometries of the (regular, but unphysical) 2D hyperbolic honeycombs {3,7}, {3,8}, {3,9}, {3,10}, and {3,12} to allow embeddings in…


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