A characterization of Gram matrices of polytopes

DOI10.1007/PL00009440zbMath0963.15027OpenAlexW2069440597MaRDI QIDQ1293677

K. Appert

Publication date: 18 June 2001

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00009440

zbMATH Keywords

quadratic formconesGram matriceshyperbolic polyhedronAndreev's theoremspherical polyhedron

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (7)

Cone 3-Manifolds ⋮ Volumes of degenerating polyhedra -- on a conjecture of J. W. Milnor ⋮ The volume of the Lambert cube in spherical space ⋮ Spherical tetrahedra with rational volume, and spherical Pythagorean triples ⋮ Realizability of polytopes as a low rank matrix completion problem ⋮ The inradius of a hyperbolic truncated \(n\)-simplex ⋮ Volumes of polyhedra in non-Euclidean spaces of constant curvature

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