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Matematicheskie Zametki, 2009, Volume 85, Issue 6, Pages 840–848
DOI: https://doi.org/10.4213/mzm3889 (Mi mzm3889) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On Simplicial Partitions of Polytopes

A. A. Glazyrin

M. V. Lomonosov Moscow State University
Full-text PDF (413 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm3889
Abstract: We prove some general properties of prismoids, i.e., polytopes all of whose vertices lie in two parallel planes. On the basis of these properties, we obtain a nontrivial lower bound for the number of simplices in a triangulation of the $n$-dimensional cube.
Keywords: prismoid, $(0,1)$-polytope, simplicial partition, triangulation, minimal triangulation, inextensible set.
Received: 15.06.2006
Revised: 23.10.2008
English version:
Mathematical Notes, 2009, Volume 85, Issue 6, Pages 799–806
DOI: https://doi.org/10.1134/S0001434609050228
Bibliographic databases:
UDC: 514.154
Language: Russian
Citation: A. A. Glazyrin, “On Simplicial Partitions of Polytopes”, Mat. Zametki, 85:6 (2009), 840–848; Math. Notes, 85:6 (2009), 799–806
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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