A construction for periodically-cyclic Gale \(2m\)-polytopes
type: Item
instance of: scholarly article
title: A construction for periodically-cyclic Gale \(2m\)-polytopes
zbMATH Open document ID: 0977.52018
published in: Beiträge zur Algebra und Geometrie
publication date: 2001-01-09T00:00:00Z
full work available at URL: https://eudml.org/doc/229963
full work available at URL: 5.html
review text: For each \(v\), \(k\), and \(m\) such that \(v\geq k \geq 2m + 2 \geq 8\), the author constructs a periodically-cyclic Gale \(2m\)-polytope with \(v\) vertices and the period \(k\). For such a polytope, there is a complete description of each of its faces based upon a labelling (total ordering) of the vertices so that every subset of \(k\) successive vertices generates a cyclic \(2m\)-polytope. Note that motivation for this paper may be described as practical, theoretical and exploratory.
Mathematics Subject Classification ID: 52B11
Mathematics Subject Classification ID: 52B05
zbMATH DE Number: 1549903
zbMATH Keywords: Gale polytope
zbMATH Keywords: cyclic polytope
author: T. Bisztriczky
reviewed by: Stanislav Jendroľ
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1549903