Characterizations of reduced polytopes in finite-dimensional normed spaces.
Lassak, Marek (2006)
Beiträge zur Algebra und Geometrie
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Displaying similar documents to “Alexandrov’s theorem, weighted Delaunay triangulations, and mixed volumes”
Characterizations of reduced polytopes in finite-dimensional normed spaces.
Triangulations of simplicial polytopes.
McMullen, Peter (2004)
Beiträge zur Algebra und Geometrie
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Drawing 3-polytopes with good vertex resolution.
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Covering belt bodies by smaller homothetical copies.
Boltyanski, Vladimir, Martini, Horst (2001)
Beiträge zur Algebra und Geometrie
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Vector spaces spanned by the angle sums of polytopes.
Camenga, Kristin A. (2006)
Beiträge zur Algebra und Geometrie
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The number of vertices of a Fano polytope
Cinzia Casagrande (2006)
Annales de l’institut Fourier
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Let be a Gorenstein, -factorial, toric Fano variety. We prove two conjectures on the maximal Picard number of in terms of its dimension and its pseudo-index, and characterize the boundary cases. Equivalently, we determine the maximal number of vertices of a simplicial reflexive polytope.
Circumscribed simplices of minimal mean width.
Böröczky, Károly, Schneider, Rolf (2007)
Beiträge zur Algebra und Geometrie
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Illumination of direct sums of two convex figures.
Baladze, E.D., Boltyanski, V.G. (2006)
Beiträge zur Algebra und Geometrie
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On faces of a convex polyhedron in with a small number of sides.
Kharazishvili, A. (2003)
Georgian Mathematical Journal
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Polyhedral realisation of hyperbolic metrics with conical singularities on compact surfaces
François Fillastre (2007)
Annales de l’institut Fourier
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A Fuchsian polyhedron in hyperbolic space is a polyhedral surface invariant under the action of a Fuchsian group of isometries (i.e. a group of isometries leaving globally invariant a totally geodesic surface, on which it acts cocompactly). The induced metric on a convex Fuchsian polyhedron is isometric to a hyperbolic metric with conical singularities of positive singular curvature on a compact surface of genus greater than one. We prove that these metrics are actually realised by exactly...