The classification of simplicial 3-spheres with nine vertices into polytopes and nonpolytopes

A. Altshuler; J. Bokowski; L. Steinberg

doi:10.1016/0012-365X(80)90029-1

The classification of simplicial 3-spheres with nine vertices into polytopes and nonpolytopes

A. Altshuler
, J. Bokowski
, L. Steinberg

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

43 Scopus citations

Abstract

The classification of the 1296 (simplicial) 3-spheres with nine vertices into polytopal and nonpolytopal spheres, started earlier, is completed here. It is shown that there are 1142 polytopal and 154 nonpolytopal such spheres, and a fast procedure for their construction is described.

Original language	English
Pages (from-to)	115-124
Number of pages	10
Journal	Discrete Mathematics
Volume	31
Issue number	2
DOIs	https://doi.org/10.1016/0012-365X(80)90029-1
State	Published - 1 Jan 1980

ASJC Scopus subject areas

Theoretical Computer Science
Discrete Mathematics and Combinatorics

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title = "The classification of simplicial 3-spheres with nine vertices into polytopes and nonpolytopes",

abstract = "The classification of the 1296 (simplicial) 3-spheres with nine vertices into polytopal and nonpolytopal spheres, started earlier, is completed here. It is shown that there are 1142 polytopal and 154 nonpolytopal such spheres, and a fast procedure for their construction is described.",

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AU - Steinberg, L.

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AB - The classification of the 1296 (simplicial) 3-spheres with nine vertices into polytopal and nonpolytopal spheres, started earlier, is completed here. It is shown that there are 1142 polytopal and 154 nonpolytopal such spheres, and a fast procedure for their construction is described.

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U2 - 10.1016/0012-365X(80)90029-1

DO - 10.1016/0012-365X(80)90029-1

M3 - Article

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JO - Discrete Mathematics

JF - Discrete Mathematics

IS - 2

ER -

The classification of simplicial 3-spheres with nine vertices into polytopes and nonpolytopes

Abstract

ASJC Scopus subject areas

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