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Extremal Properties for Dissections of Convex 3-Polytopes

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Publication:2706196
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DOI10.1137/S0895480199366238zbMath0983.52008arXivmath/0012169OpenAlexW3105298600MaRDI QIDQ2706196

Jesús A. De Loera, Fumihiko Takeuchi, Francisco Santos

Publication date: 19 March 2001

Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0012169

zbMATH Keywords

prismtriangulationlattice polytopedissectionantiprismArchimedean solidcombinatorial \(d\)-cubemismatched region


Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Computational aspects related to convexity (52B55) Dissections and valuations (Hilbert's third problem, etc.) (52B45) Polyhedral manifolds (52B70)


Related Items

ENUMERATING TRIANGULATIONS IN GENERAL DIMENSIONS, On minimal triangulations of products of convex polygons, Enumeration of lattice polytopes by their volume, Maximal triangulations of a regular prism, A polytopal generalization of Sperner's lemma



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