Triangulations of integral polytopes and Ehrhart polynomials.
Kantor, Jean-Michel (1998)
Beiträge zur Algebra und Geometrie
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Kantor, Jean-Michel (1998)
Beiträge zur Algebra und Geometrie
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Stachel, Hellmuth (2000)
Journal for Geometry and Graphics
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Sergey Korotov, Jon Eivind Vatne (2025)
Applications of Mathematics
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We propose some approaches for the generation of conforming simplicial partitions with various regularity properties for polytopic domains that are products or a union of products, thus generalizing our earlier results. The techniques presented can be used for finite element simulations of higher-dimensional problems.
Bayer, Margaret M. (2004)
The Electronic Journal of Combinatorics [electronic only]
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P. Filliman (1990)
Discrete & computational geometry
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M.M. Bayer, A. Klapper (1991)
Discrete & computational geometry
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R.P. Stanley (1986)
Discrete & computational geometry
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G. Panina (2003)
Open Mathematics
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All 3-dimensional convex polytopes are known to be rigid. Still their Minkowski differences (virtual polytopes) can be flexible with any finite freedom degree. We derive some sufficient rigidity conditions for virtual polytopes and present some examples of flexible ones. For example, Bricard's first and second flexible octahedra can be supplied by the structure of a virtual polytope.
V. Klee, P. Gritzmann, D. Larman (1995)
Discrete & computational geometry
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Alon, N., Kleitman, D.J. (1997)
The Electronic Journal of Combinatorics [electronic only]
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Franz, Matthias (2002)
Journal of Lie Theory
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G. Reinelt (1993)
Discrete & computational geometry
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R. Blind, G. Blind (1995)
Discrete & computational geometry
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