Volume Approximation of Convex Bodies by Inscribed Polytopes.
Peter M. Gruber (1988)
Mathematische Annalen
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Peter M. Gruber (1988)
Mathematische Annalen
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Jürgen Bokowski, Peter Mani-Levitska (1987)
Monatshefte für Mathematik
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Alon, N., Kleitman, D.J. (1997)
The Electronic Journal of Combinatorics [electronic only]
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H. Martini (1991)
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J. Fine (1995)
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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.
Ney, Peter E., Robinson, Stephen M. (1995)
Journal of Convex Analysis
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J. Matousek, O. Schwarzkopf (1993)
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Stachel, Hellmuth (2000)
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Rolf Schneider (1987)
Aequationes mathematicae
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Bezdek, K., Hausel, T. (1994)
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