The complete enumeration of the 4-polytopes and 3-spheres with eight vertices

Amos Altshuler, Leon Steinberg

Research output: Contribution to journalArticlepeer-review

21 Scopus citations

Abstract

The enumeration of 4-poIytopes and 3-spheres with eight vertices started in [1], is completed here. We show that there are precisely 624 4-polytopes and 22 non-polytopal 3-spheres with eight vertices that are not quasisimplicial nor pyramidal. We find them all and give a detailed description of the 22 non-polytopal spheres.

Original languageEnglish
Pages (from-to)1-16
Number of pages16
JournalPacific Journal of Mathematics
Volume117
Issue number1
DOIs
StatePublished - 1 Jan 1985

ASJC Scopus subject areas

  • Mathematics (all)

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