Vol. 65, No. 1, 1976

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On facets with non-arbitrary shapes

Peter Kleinschmidt

Vol. 65 (1976), No. 1, 97–101
Abstract

It is proved that the shape of a facet of a d-polytope with d + 3 vertices can be arbitrarily preassigned. A minimal example of a 4-polytope with 8 vertices which does not have this property is described.

Mathematical Subject Classification
Primary: 52A25, 52A25
Milestones
Received: 30 December 1975
Revised: 2 February 1976
Published: 1 July 1976
Authors
Peter Kleinschmidt