Coincidences of Hypercubic Lattices in 4 dimensions

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dc.creatorZeiner, Peter
dc.date2006-05-18
dc.date.accessioned2026-07-07T07:14:23Z
dc.date.available2026-07-07T07:14:23Z
dc.descriptionWe 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.
dc.description13 pages, 8 tables
dc.identifierhttps://arxiv.org/abs/math/0605526
dc.identifierhttp://arxiv.org/abs/math/0605526
dc.identifierZ. Kristallogr. 221 (2006), p. 105-114
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112855
dc.subjectMetric Geometry
dc.subject52C07, 05A15, 20F55, 20G45, 51F15, 20H15, 05A15
dc.titleCoincidences of Hypercubic Lattices in 4 dimensions
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