From spaces of polygons to spaces of polyhedra following Bavard, Ghys and Thurston

DOI10.4171/LEM/57-1-2zbMath1242.52010arXivmath/0308187OpenAlexW2047238838MaRDI QIDQ648493

François Fillastre

Publication date: 22 November 2011

Published in: L'Enseignement Mathématique. 2e Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0308187

zbMATH Keywords

polyhedraorthoschemepolygonsCoxeter orthoschemeNapier cycle

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Polyhedra and polytopes; regular figures, division of spaces (51M20) Mixed volumes and related topics in convex geometry (52A39) Spherical and hyperbolic convexity (52A55) Polytopes and polyhedra (52B99)

Related Items (7)

Shapes of tetrahedra with prescribed cone angles ⋮ Hyperbolic geometry of shapes of convex bodies ⋮ Signature Calculation of the Area Hermitian Form on Some Spaces of Polygons ⋮ Ideal triangulation and disc unfolding of a singular flat surface ⋮ SHAPES OF POLYHEDRA, MIXED VOLUMES AND HYPERBOLIC GEOMETRY ⋮ Quadrangulations of sphere and ball quotients ⋮ Complete flat cone metrics on punctured surfaces

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