The infimum of the volumes of convex polytopes of any given facet areas is 0

DOI10.1556/SScMath.51.2014.4.1292zbMath1349.52012arXiv1304.6579OpenAlexW2963124035MaRDI QIDQ5248381

Günter Rote, Alexander Mednykh, Yurii Gennadyevich Nikonorov, Nikolaĭ Vladimirovich Abrosimov, Endre jun. Makai

Publication date: 7 May 2015

Published in: Studia Scientiarum Mathematicarum Hungarica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.6579

zbMATH Keywords

volumeconvex polytopeEuclidean spacehyperbolic spacespherical space

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Three-dimensional polytopes (52B10) Inequalities and extremum problems involving convexity in convex geometry (52A40) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Spherical and hyperbolic convexity (52A55)

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