Some remarks on triangulating a d-cube
type: Item
instance of: scholarly article
title: Some remarks on triangulating a d-cube
zbMATH Open document ID: 0705.52002
published in: Beiträge zur Algebra und Geometrie
publication date: 1989-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/138450
review text: This paper deals with vertex-preserving, facet-to-facet triangulations of the d-cube. After describing briefly the standard triangulation into the maximal number of d! simplices and a method of \textit{J. F. Sallee} [Discrete Math. 40, 81-86 (1982; Zbl 0483.52003)], the author presents a new method. For \(d\geq 6\), this needs fewer simplices than Sallee's method (for \(d\leq 5\), Sallee's method requires the smallest possible number of tiles). The paper concludes with some formulas connecting certain simplex numbers for arbitrary triangulations of the d-cube in dimensions \(2\leq d\leq 6\).
Mathematics Subject Classification ID: 52A20
Mathematics Subject Classification ID: 52C22
zbMATH DE Number: 4157382
zbMATH Keywords: vertex-preserving
zbMATH Keywords: facet-to-facet
zbMATH Keywords: d-cube
zbMATH Keywords: triangulation
author: Johannes Böhm
reviewed by: Rolf Schneider
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4157382