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Centro de Ciencias Matemáticas UNAM

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On infinite 2-orbit polyhedra in classes 20 and 22

Abstract:

We describe all 2-orbit skeletal polyhedra in classes and in . Those in class are continuous deformations of the three Petrie–Coxeter polyhedra and therefore are arranged in three families. Those in class are the Petrie duals of the chiral polyhedra in and are classified in six families.
Keywords: Convex and discrete geometry||Polytopes and polyhedra||Symmetry properties of polytopes
MSC: 52B15 (05E18 52B05 52B10)
Journal: Beiträge zur Algebra und Geometrie
ISSN: 2191-0383
Year: 2024
Volume: 65
Number: 2
Pages: 241-277
Created Created: 2025-05-12 15:34:07
Modified Modified: 2025-05-12 15:34:43
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