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The enumeration of four-dimensional polytopes

Authors
Journal
Discrete Mathematics
0012-365X
Publisher
Elsevier
Publication Date
Volume
91
Issue
1
Identifiers
DOI: 10.1016/0012-365x(91)90159-y
Disciplines
  • Computer Science
  • Mathematics

Abstract

Abstract An algorithm to enumerate the combinatorial types of three-spheres is described. The respective numbers are given for three-spheres with up to 9 facets. Simple geometrical arguments are used to find most of the nonpolytopal three-spheres.

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