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Type: Article
Symmetries of Equivelar 4-Toroids
Abstract:
We derive some general results on the symmetries of equivelar toroids and provide detailed analysis of the subgroup lattice structure of the dihedral group D-4 and of the octahedral group to complete classification by symmetry type of those in ranks 3 and 4.
We derive some general results on the symmetries of equivelar toroids and provide detailed analysis of the subgroup lattice structure of the dihedral group D-4 and of the octahedral group to complete classification by symmetry type of those in ranks 3 and 4.
Keywords: Symmetries of toroids; Map; Polytope; Cubical tessellation
Journal: Discrete and Computational Geometry
ISSN: 1432-0444
Year: 2012
Volume: 48
Number: 4
Pages: 1110-1136



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