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DCG
2008
81views more  DCG 2008»
13 years 7 months ago
A Dense Packing of Regular Tetrahedra
We construct a dense packing of regular tetrahedra, with packing density D > .7786157. Keywords Crystallography
Elizabeth R. Chen
DCG
2006
82views more  DCG 2006»
13 years 7 months ago
Volume Computation for Polytopes and Partition Functions for Classical Root Systems
This paper presents an algorithm to compute the value of the inverse Laplace transforms of rational functions with poles on arrangements of hyperplanes. As an application, we prese...
M. Welleda Baldoni-Silva, Matthias Beck, Charles C...
DCG
2006
63views more  DCG 2006»
13 years 7 months ago
Common Tangents to Spheres in R3
We prove that four spheres in R3 have infinitely many real common tangents if and only if they have aligned centers and at least one real common tangent.
Ciprian Borcea, Xavier Goaoc, Sylvain Lazard, Sylv...
DCG
2006
96views more  DCG 2006»
13 years 7 months ago
Elementary Moves on Triangulations
It is proved that a triangulation of a polyhedron can always be transformed into any other triangulation of the polyhedron using only elementary moves. One consequence is that an ...
Monika Ludwig, Matthias Reitzner
DCG
2007
70views more  DCG 2007»
13 years 7 months ago
Fiber Fans and Toric Quotients
The GIT chamber decomposition arising from a subtorus action on a polarized quasiprojective toric variety is a polyhedral complex. Denote by Σ the fan that is the cone over the po...
Alastair Craw, Diane Maclagan