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82
Voted
DCG
2007
15 years 11 days 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, ...
78
Voted
DCG
2007
15 years 11 days 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...
64
Voted
DCG
2007
15 years 11 days 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 ...
92
Voted
DCG
2007
15 years 11 days 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
2000
15 years 6 days ago
2000
We consider rotations A, B of finite order in SO(3), about axes separated by an angle of restricted type, and attempt to classify the possible group relations between A and B. We s...