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» Connectivity in the regular polytope representation
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GEOINFORMATICA
2011
12 years 11 months ago
Connectivity in the regular polytope representation
Rodney James Thompson, Peter van Oosterom
DCG
2010
87views more  DCG 2010»
13 years 4 months ago
Hamiltonian Submanifolds of Regular Polytopes
: We investigate polyhedral 2k-manifolds as subcomplexes of the boundary complex of a regular polytope. We call such a subcomplex k-Hamiltonian if it contains the full k-skeleton o...
Felix Effenberger, Wolfgang Kühnel
DM
2010
108views more  DM 2010»
13 years 4 months ago
Locally toroidal polytopes and modular linear groups
When the standard representation of a crystallographic Coxeter group G (with string diagram) is reduced modulo the integer d 2, one obtains a finite group Gd often the automorphi...
Barry Monson, Egon Schulte
JCT
2007
122views more  JCT 2007»
13 years 4 months ago
h-Vectors of Gorenstein polytopes
We show that the Ehrhart h-vector of an integer Gorenstein polytope with a unimodular triangulation satisfies McMullen’s g-theorem; in particular it is unimodal. This result gen...
Winfried Bruns, Tim Römer
DCG
2006
163views more  DCG 2006»
13 years 4 months ago
Isometry-Invariant Valuations on Hyperbolic Space
Abstract. Hyperbolic area is characterized as the unique continuous isometry invariant simple valuation on convex polygons in H2 . We then show that continuous isometry invariant s...
Daniel A. Klain