Polygonal Complexes and Graphs for Crystallographic Groups
classification
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math.MG
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complexesgroupspolygonalpolyhedraaspectschiralclassificationclassify
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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.
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