A. D. Alexandrov's uniqueness theorem for convex polytopes and its refinements.
Panina, Gaiane (2008)
Beiträge zur Algebra und Geometrie
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Displaying similar documents to “Construction of a Φ-function for two convex polytopes”
A. D. Alexandrov's uniqueness theorem for convex polytopes and its refinements.
The Mayer-Vietoris and IC Equations for Convex Polytopes.
J. Fine (1995)
Discrete & computational geometry
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A purely combinatorial proof of the Hadwiger Debrunner conjecture.
Alon, N., Kleitman, D.J. (1997)
The Electronic Journal of Combinatorics [electronic only]
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On Ray Shooting in Convex Polytopes.
J. Matousek, O. Schwarzkopf (1993)
Discrete & computational geometry
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Invertible Relations on Polytopes.
G.T. Sallee (1987)
Discrete & computational geometry
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Two Poset Polytopes.
R.P. Stanley (1986)
Discrete & computational geometry
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Coating by cubes.
Bezdek, K., Hausel, T. (1994)
Beiträge zur Algebra und Geometrie
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Exterior Algebra and Projections of Polytopes.
P. Filliman (1990)
Discrete & computational geometry
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Characterizing certain staircase convex sets in .
Breen, Marilyn (2010)
Beiträge zur Algebra und Geometrie
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Flexible cross-polytopes in the Euclidean 4-space.
Stachel, Hellmuth (2000)
Journal for Geometry and Graphics
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Approximating 3-dimensional convex bodies by polytopes with a restricted number of edges.
Böröczky, K.J., Fodor, F., Vígh, V. (2008)
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.
Facet-Reducing Cuts of a Convex Polytope.
N. Prabhu (1995)
Discrete & computational geometry
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