Planar polygons and hyperbolic polyhedra
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Publication:1199233
DOI10.1007/BF00147868zbMath0758.52001MaRDI QIDQ1199233
Christophe Bavard, Étienne Ghys
Publication date: 16 January 1993
Published in: Geometriae Dedicata (Search for Journal in Brave)
hyperbolic spaceEuclidean planehyperbolic polyhedronspace of polygonshyperbolic Coxeter orthoschemes
Spherical and hyperbolic convexity (52A55) Convex sets in (2) dimensions (including convex curves) (52A10) Polytopes and polyhedra (52B99)
Related Items (14)
Fundamental group of spaces of simple polygons ⋮ Convex Bodies: Mixed Volumes and Inequalities ⋮ Hyperbolic geometry of shapes of convex bodies ⋮ Signature Calculation of the Area Hermitian Form on Some Spaces of Polygons ⋮ Tilings of convex polygons ⋮ Classification of Punctures on Complete Flat Surfaces ⋮ SHAPES OF POLYHEDRA, MIXED VOLUMES AND HYPERBOLIC GEOMETRY ⋮ COMPACTNESS OF SPACES OF CONVEX AND SIMPLE QUADRILATERALS ⋮ Complete flat cone metrics on punctured surfaces ⋮ Triangulations and volume form on moduli spaces of flat surfaces ⋮ The area as a natural pseudo-Hermitian structure on the spaces of plane polygons and curves ⋮ Minkowski summands of cubes ⋮ On the moduli space of equilateral plane pentagons ⋮ Spaces of polygons degenerated to segments
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