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Representing the sporadic Archimedean polyhedra as abstract polytopes by Michael I. Hartley; Gordon I. Williams is a Computer Science article available to read on EtoBox.
What is Representing the sporadic Archimedean polyhedra as abstract polytopes about?
We present the results of an investigation into the representations of Archimedean polyhedra (those polyhedra containing only one type of vertex figure) as quotients of regular abstract polytopes. Two methods of generating these presentations are discussed, one of which may be applied in a general setting, and another which makes use of a regular polytope with the same automorphism group as the desired quotient. Representations of the 14 sporadic Archimedean polyhedra (including the pseudorhombicuboctahedron) as quotients of regular abstract polyhedra are obtained, and summarised in a table. The information is used to characterize which of these polyhedra have acoptic Petrie schemes (that is, have well-defined Petrie duals).
Who reads Representing the sporadic Archimedean polyhedra as abstract polytopes?
It is typically read by researchers, students, and practitioners in Computer Science.
- Author
- Michael I. Hartley; Gordon I. Williams
- Publisher
- Elsevier Science; Elsevier ; Elsevier BV (ISSN 0012-365X)
- Published
- 2010
- Language
- EN
- Field
- Computer Science (Physical Sciences)