Odd Order Pandiagonal Latin and Magic Cubes in Three and Four Dimensions

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dc.creatorGartenhaus, Solomon
dc.date2002-10-17
dc.date.accessioned2026-07-07T04:52:06Z
dc.date.available2026-07-07T04:52:06Z
dc.descriptionExplicit algorithms are developed for constructing odd order n pandiagonal latin cubes in 3 and 4 dimensions, and these are used to construct pandiagonal magic cubes and 4 dimensional hypercubes, respectively. It is established that these structures exist in 3 dimensions only for odd orders n not less than 11, and in 4 dimensions only for odd orders n not less than 17. Estimates for the number of such structures as functions of n in 3 and 4 dimensions are also presented.
dc.description30 pages, Latex
dc.identifierhttps://arxiv.org/abs/math/0210275
dc.identifierhttp://arxiv.org/abs/math/0210275
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65340
dc.subjectCombinatorics
dc.subject05B15
dc.titleOdd Order Pandiagonal Latin and Magic Cubes in Three and Four Dimensions
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