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On the Non-existence of 3-Dimensional Tiling in the Lee Metric

✍ Scribed by S. Gravier; M. Mollard; C. Payan

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
99 KB
Volume
19
Category
Article
ISSN
0195-6698

No coin nor oath required. For personal study only.

✦ Synopsis

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.

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