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DCG
2007
13 years 10 months ago
2007
Let C be a cone in R3 whose base B is a planar convex body in a horizontal plane π and whose tip is a point v /∈ π. Let C be a packing formed by translates of C and −C in R3...
DCG
2007
13 years 10 months ago
2007
In this paper we study the following simple and mind-puzzling problem: Can a model train car, which runs along an intricate track complete a full cycle around it? In our paper a t...
DCG
2007
13 years 10 months ago
2007
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...
DCG
2007
13 years 10 months ago
2007
It is proved that the shape of the typical cell of a stationary and isotropic Poisson random hyperplane tessellation is, with high probability, close to the shape of a ball if the ...
DCG
2007
13 years 10 months ago
2007
The coincidence site lattice (CSL) problem and its generalization to Z-modules in Euclidean 3-space is revisited, and various results and conjectures are proved in a unified way, ...