Coincidences of Hypercubic Lattices in 4 dimensions

Details Coincidences of Hypercubic Lattices in 4 dimensions Coincidences of Hypercubic Lattices in 4 dimensions

2006-05-18

arxiv.org/abs/math/0605526v1

Z. Kristallogr. 221 (2006), p. 105-114

Mathematics

Metric Geometry

13 pages, 8 tables

Scientific paper

We consider the CSLs of 4-dimensional hypercubic lattices. In particular, we
derive the coincidence index $\Sigma$ and calculate the number of different
CSLs as well as the number of inequivalent CSLs for a given $\Sigma$. 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.

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