On edge-antipodal d-polytopes

Tibor Bisztriczky; Károly Böröczky

doi:10.1007/s10998-008-8131-5

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Periodica Mathematica Hungarica

Volume/Issue:: Volume 57: Issue 2

On edge-antipodal d-polytopes

Authors:

Tibor Bisztriczky

Tibor Bisztriczky University of Calgary Dept. of Mathematics and Statistics Calgary Canada

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Károly Böröczky

Károly Böröczky Eötvös Loránd University Department of Geometry Budapest Hungary

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Pages:: 131–141

Online Publication Date:: 10 Dec 2008

Publication Date:: 01 Dec 2008

Article Category:: Research Article

DOI:: https://doi.org/10.1007/s10998-008-8131-5

Keywords:: 52B11; 52B12; convex; polytope; edge-antipodal

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Abstract

A convex d-polytope in ℝ^d is called edge-antipodal if any two vertices that determine an edge of the polytope lie on distinct parallel supporting hyperplanes of the polytope. We introduce a program for investigating such polytopes, and examine those that are simple.

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Periodica Mathematica Hungarica

Print ISSN:: 0031-5303

Online ISSN:: 1588-2829

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Periodica Mathematica Hungarica
Language	English
Size	B5
Year of Foundation	1971
Volumes per Year	2
Issues per Year	4
Founder	Bolyai János Matematikai Társulat - János Bolyai Mathematical Society
Founder's Address	H-1055 Budapest, Hungary Falk Miksa u. 12.I/4.
Publisher	Akadémiai Kiadó Springer Nature Switzerland AG
Publisher's Address	H-1117 Budapest, Hungary 1516 Budapest, PO Box 245. CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible Publisher	Chief Executive Officer, Akadémiai Kiadó
ISSN	0031-5303 (Print)
ISSN	1588-2829 (Online)