Symmetries of regular four-dimensional polytopes
Z. S. Lučić (1982)
Matematički Vesnik
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Displaying similar documents to “Polynomial invariants and harmonic functions related to exceptional regular polytopes.”
Symmetries of regular four-dimensional polytopes
The special cuts of the 600-cell.
Dutour Sikirić, Mathieu, Myrvold, Wendy (2008)
Beiträge zur Algebra und Geometrie
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Regular Polytopes from Twisted Coxeter Groups.
P. McMullen, E. Schulte (1989)
Mathematische Zeitschrift
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Flag vectors of multiplicial polytopes.
Bayer, Margaret M. (2004)
The Electronic Journal of Combinatorics [electronic only]
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Realizations of regular polytopes.
Peter McMullen (1989)
Aequationes mathematicae
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Flexible cross-polytopes in the Euclidean 4-space.
Stachel, Hellmuth (2000)
Journal for Geometry and Graphics
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On non-inscribable polytopes
Branko Grünbaum, Ernest Jucovič (1974)
Czechoslovak Mathematical Journal
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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.
Separation in the polytope algebra.
McMullen, Peter (1993)
Beiträge zur Algebra und Geometrie
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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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