Vol. 117, No. 1, 1985

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

Amos Altshuler and Leon Steinberg

Vol. 117 (1985), No. 1, 1–16
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.

Mathematical Subject Classification 2000
Primary: 52A25, 52A25
Secondary: 05A15, 57Q99
Milestones
Received: 9 May 1983
Published: 1 March 1985
Authors
Amos Altshuler
Leon Steinberg