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On the non-existence of lattice tilings by quasi-crosses

✍ Scribed by Schwartz, Moshe


Book ID
122040432
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
390 KB
Volume
36
Category
Article
ISSN
0195-6698

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On the Non-existence of 3-Dimensional Ti
✍ S. Gravier; M. Mollard; C. Payan πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 99 KB

We prove that there does not exist a tiling with Lee spheres of radius at least 2 in the 3-dimensional Euclidean space. In particular, this result verifies a conjecture of Golomb and Welch for n = 3.