Triangulations of simplicial polytopes.
McMullen, Peter (2004)
Beiträge zur Algebra und Geometrie
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Displaying similar documents to “Petrie-Coxeter maps revisited.”
Triangulations of simplicial polytopes.
Corner cuts and their polytopes.
Müller, Irene (2003)
Beiträge zur Algebra und Geometrie
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A construction for periodically-cyclic Gale -polytopes.
Bisztriczky, T. (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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Rigidity and flexibility of virtual polytopes
G. Panina (2003)
Open Mathematics
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All 3-dimensional convex polytopes are known to be rigid. Still their Minkowski differences (virtual polytopes) can be flexible with any finite freedom degree. We derive some sufficient rigidity conditions for virtual polytopes and present some examples of flexible ones. For example, Bricard's first and second flexible octahedra can be supplied by the structure of a virtual polytope.
Minimax equalities by reconstruction of polytopes.
Greco, Gabriele H., Horvath, Charles D. (2000)
Journal of Convex Analysis
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Typical faces of best approximating three-polytopes.
Böröczky, Károly J., Tick, Péter, Wintsche, Gergely (2007)
Beiträge zur Algebra und Geometrie
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Basic hypergeometric functions as limits of elliptic hypergeometric functions.
Van De Bult, Fokko J., Rains, Eric M. (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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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.
Piecewise polynomial functions, convex polytopes and enumerative geometry
Michel Brion (1996)
Banach Center Publications
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Characterizations of reduced polytopes in finite-dimensional normed spaces.
Lassak, Marek (2006)
Beiträge zur Algebra und Geometrie
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