A characterization of all equilateral triangles in \Bbb Z^3

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dc.creatorChandler, Ray
dc.creatorIonascu, Eugen J.
dc.date2007-10-03
dc.date.accessioned2026-07-07T08:33:42Z
dc.date.available2026-07-07T08:33:42Z
dc.descriptionThis paper is a continuation of previous work of the authors. We extend one of the theorems that gave a way to construct equilateral triangles whose vertices have integer coordinates to the general situation. An approximate extrapolation formula for the sequence ET(n) of all equilateral triangles with vertices in $\{0,1,2,...,n\}^3$ (A 102698) is given and the asymptotic behavior of this sequence is analyzed.
dc.description8 pages, 3 figures, continuation of previous work
dc.identifierhttps://arxiv.org/abs/0710.0708
dc.identifierhttp://arxiv.org/abs/0710.0708
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139225
dc.subjectNumber Theory
dc.subject11A67
dc.titleA characterization of all equilateral triangles in \Bbb Z^3
dc.typetext

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