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Coincidences of Hypercubic Lattices in 4 dimensions

Peter Zeiner
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Abstract

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.

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Peter Zeiner. 2006-05-18. Coincidences of Hypercubic Lattices in 4 dimensions. https://arxiv.org/abs/math/0605526

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