On non-inscribable polytopes
Branko Grünbaum, Ernest Jucovič (1974)
Czechoslovak Mathematical Journal
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Branko Grünbaum, Ernest Jucovič (1974)
Czechoslovak Mathematical Journal
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R. Blind, G. Blind (1995)
Discrete & computational geometry
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McMullen, Peter (1993)
Beiträge zur Algebra und Geometrie
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S. Jendrol, E. Jucovič, M. Trenkler (1989)
Banach Center Publications
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R. Blind, G. Blind (1994)
Discrete & computational geometry
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Stachel, Hellmuth (2000)
Journal for Geometry and Graphics
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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.
R.P. Stanley (1986)
Discrete & computational geometry
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Duško Jojić (2007)
Publications de l'Institut Mathématique
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