Generation of local symmetry-preserving operations on polyhedra

Pieter Goetschalckx, Kris Coolsaet, Nico Van Cleemput

Abstract


We introduce a new practical and more general definition of local symmetry-preserving operations on polyhedra. These can be applied to arbitrary plane graphs and result in plane graphs with the same symmetry. With some additional properties we can restrict the connectivity, e.g., when we only want to consider polyhedra. Using some base structures and a list of 10 extensions, we can generate all possible local symmetry-preserving operations isomorph-free.

Keywords


Polyhedra, generation, symmetry, chamber systems

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DOI: https://doi.org/10.26493/1855-3974.1931.9cf

ISSN: 1855-3974

Issues from Vol 6, No 1 onward are partially supported by the Slovenian Research Agency from the Call for co-financing of scientific periodical publications