Minimal covers of the prisms and antiprisms

Minimal covers of the prisms and antiprisms

This paper contains a classification of the regular minimal abstract polytopes that act as covers for the convex polyhedral prisms and antiprisms. It includes a detailed discussion of their topological structure, and completes the enumeration of such covers for convex uniform polyhedra. Additionally...

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Veröffentlicht in:Discrete mathematics 2012-10, Vol.312 (20), p.3046-3058
Hauptverfasser: Hartley, Michael I., Pellicer, Daniel, Williams, Gordon
Format: Artikel
Sprache:eng
Schlagworte:
Abstract polyhedron
Abstract polytope
Antiprism
Classification
Enumeration
Mathematical analysis
Polyhedrons
Polytopes
Prism
Prisms
Quotient polytopes
String C-group
Strings
Topology
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Zusammenfassung:This paper contains a classification of the regular minimal abstract polytopes that act as covers for the convex polyhedral prisms and antiprisms. It includes a detailed discussion of their topological structure, and completes the enumeration of such covers for convex uniform polyhedra. Additionally, this paper addresses related structural questions in the theory of string C-groups.
ISSN:0012-365X
1872-681X
DOI:10.1016/j.disc.2012.06.025