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On the enumeration of polyhedra

Name: On the enumeration of polyhedra
Creator: P. Engel
Keywords: Polytopes and polyhedra, Polyhedra and polytopes; regular figures, division of spaces, Exact enumeration problems, generating functions, Discrete Mathematics and Combinatorics, 0102 computer and information sciences, 0101 mathematics, 01 natural sciences, Theoretical Computer Science

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1982Publisher:Elsevier BVJournal:Discrete Mathematics, volume 41, pages 215-218 (issn: 0012-365X,

Authors: P. Engel;

doi: 10.1016/0012-365x(82)90208-4

On the enumeration of polyhedra

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Abstract

AbstractAn algorithm for the enumeration of all combinatorial types of three-dimensional polyhedra is described and the respective numbers of polyhedra with f faces, 4⩽f⩽11, are listed.

Keywords

Polytopes and polyhedra, Polyhedra and polytopes; regular figures, division of spaces, Exact enumeration problems, generating functions, Discrete Mathematics and Combinatorics, Theoretical Computer Science

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