SHAPES OF POLYHEDRA, MIXED VOLUMES AND HYPERBOLIC GEOMETRY

DOI10.1112/S002557931600019XzbMath1367.52010arXiv1310.1560OpenAlexW1620725384MaRDI QIDQ2970170

François Fillastre, Ivan Izmestiev

Publication date: 28 March 2017

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.1560

zbMATH Keywords

mixed volumeshape of polyhedra

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) General geometric structures on low-dimensional manifolds (57M50) Gale and other diagrams (52B35)

Related Items (11)

Sublinear circuits for polyhedral sets ⋮ Convex Bodies: Mixed Volumes and Inequalities ⋮ Hyperbolic geometry of shapes of convex bodies ⋮ \(L_p\) Busemann-Petty centroid inequality in hyperbolic and spherical spaces ⋮ Sublinear circuits and the constrained signomial nonnegativity problem ⋮ Learning Polytopes with Fixed Facet Directions ⋮ Polyhedral hyperbolic metrics on surfaces ⋮ Complete flat cone metrics on punctured surfaces ⋮ Minkowski summands of cubes ⋮ Secondary Fans and Secondary Polyhedra of Punctured Riemann Surfaces ⋮ Projective toric codes

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