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Type: Incollection
Polynomial complexes and graphs for crystallographic groups
Book Title: Rigidity and Symmetry
Editor: Robert Connelly; Asia Ivic Weiss; Walter Whiteley
Abstract:
The paper surveys highlights of the ongoing program to classify discrete polyhedral structures in Euclidean 3-space by distinguished transitivity properties of their symmetry groups, focussing in particular on various aspects of the classification of regular polygonal complexes, chiral polyhedra, and more generally, two-orbit polyhedra.
The paper surveys highlights of the ongoing program to classify discrete polyhedral structures in Euclidean 3-space by distinguished transitivity properties of their symmetry groups, focussing in particular on various aspects of the classification of regular polygonal complexes, chiral polyhedra, and more generally, two-orbit polyhedra.
Keywords: Regular polyhedron
Regular polytope
Abstract polytope
Complex
Crystallographic group
MSC: 51M20; 52B15
Publisher: Springer Verlag
Year: 2014
Pages: 325-344



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