Nonregular triangulations of products of simplices
type: Item
instance of: scholarly article
title: Nonregular triangulations of products of simplices
zbMATH Open document ID: 0851.52014
DOI: 10.1007/BF02711494
published in: Discrete \& Computational Geometry
publication date: 1996-11-28T00:00:00Z
review text: Regular and nonregular triangulations of convex polytopes were studied recently in several papers (compare \textit{C. W. Lee} in [Ser. Discret. Math. Theor. Comput. Sci. 4, 443--456 (1991; Zbl 0746.52015)]). The regular triangulations lead to the so-called secondary polytope. In this paper nonregular triangulations are found for the product of two simplices \(\Delta_r \times \Delta_s\) for any \(r,s \geq 3\). In the case \(r = s = 3\) this can be extended to a nonregular triangulation of the 6-dimensional cube. The 4-dimensional cube is the smallest cube which admits a nonregular triangulation.
Mathematics Subject Classification ID: 52B11
zbMATH DE Number: 881214
zbMATH Keywords: nonregular triangulations
zbMATH Keywords: product of two simplices
author: Jesús A. De Loera
reviewed by: Wolfgang Kühnel
MaRDI profile type: Publication
cites work: The geometry of products of minors
cites work: Fiber polytopes
cites work: Discriminants of polynomials in several variables
cites work: Q4293510
cites work: A simple and relatively efficient triangulation of the n-cube
cites work: Q3974985
cites work: Triangulations for the cube
cites work: Q4280753
cites work: An unshellable triangulation of a tetrahedron
cites work: Combinatorics and commutative algebra
cites work: Gröbner bases of toric varieties
cites work: Q4850733
full work available at URL: https://doi.org/10.1007/bf02711494
OpenAlex ID: W2155720144
description: scientific article; zbMATH DE number 881214