Polyhedra and packings from hyperbolic honeycombs
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Pedersen, Martin; Hyde, Stephen
Description
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 Euclidean 3 space. Nearly all of these triangulated “simplicial polyhedra” have symmetrically identical vertices, and most are chiral. The...[Show more]
Collections | ANU Research Publications |
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Date published: | 2018 |
Type: | Journal article |
URI: | http://hdl.handle.net/1885/204941 |
Source: | PNAS - Proceedings of the National Academy of Sciences of the United States of America |
DOI: | 10.1073/pnas.1720307115 |
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01_Pedersen_Polyhedra_and_packings_from_2018.pdf | 1.54 MB | Adobe PDF | Request a copy |
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