Coincidences of Hypercubic Lattices in 4 dimensions

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We consider the CSLs of 4-dimensional hypercubic lattices. In particular, we derive the coincidence index $Σ$ and calculate the number of different CSLs as well as the number of inequivalent CSLs for a given $Σ$. The hypercubic face centered case is dealt with in detail and it is sketched how to derive the corresponding results for the primitive hypercubic lattice.
13 pages, 8 tables

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Metric Geometry, 52C07, 05A15, 20F55, 20G45, 51F15, 20H15, 05A15

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http://salesiana.dossiersoluciones.com/handle/123456789/112855

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0605526
 http://arxiv.org/abs/math/0605526
 Z. Kristallogr. 221 (2006), p. 105-114

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arXiv