-vectors, Eulerian polynomials and stable polytopes of graphs.
Athanasiadis, Christos A. (2004)
The Electronic Journal of Combinatorics [electronic only]
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Athanasiadis, Christos A. (2004)
The Electronic Journal of Combinatorics [electronic only]
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Francisco Santos (2001)
Collectanea Mathematica
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Let pi: P --> Q be an affine projection map between two polytopes P and Q. Billera and Sturmfels introduced in 1992 the concept of polyhedral subdivisions of Q induced by pi (or pi-induced) and the fiber polytope of the projection: a polytope Sygma(P,pi) of dimension dim(P)-dim(Q) whose faces are in correspondence with the coherent pi-induced subdivisions (or pi-coherent subdivisions). In this paper we investigate the structure of the poset of pi-induced refinements of a pi-induced...
Bayer, Margaret M. (2004)
The Electronic Journal of Combinatorics [electronic only]
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Branko Grünbaum, Ernest Jucovič (1974)
Czechoslovak Mathematical Journal
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S. Jendrol, E. Jucovič, M. Trenkler (1989)
Banach Center Publications
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Duško Jojić (2007)
Publications de l'Institut Mathématique
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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.
McMullen, Peter (1993)
Beiträge zur Algebra und Geometrie
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Pfeifle, Julian, Ziegler, Günter M. (2004)
Experimental Mathematics
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Schwartz, Alexander, Ziegler, Günter M. (2004)
Experimental Mathematics
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