A characterization of regular tetrahedra in Z^3

Simple item page
dc.creatorIonascu, Eugen J.
dc.date2007-12-23
dc.date2007-12-31
dc.date.accessioned2026-07-07T08:51:32Z
dc.date.available2026-07-07T08:51:32Z
dc.descriptionIn this note we characterize all regular tetrahedra whose vertices in R^3 have integer coordinates. The main result is a consequence of the characterization of all equilateral triangles having integer coordinates contained in previous work. Then we use this characterization to point out some corollaries. The number of such tetrahedra whose vertices are in the finite set {0,1,2,...,n}^3, n in N, is related to the sequence A103158 in the Online Encyclopedia of Integer Sequences.
dc.description10 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/0712.3951
dc.identifierhttp://arxiv.org/abs/0712.3951
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144968
dc.subjectNumber Theory
dc.subjectCombinatorics
dc.subject11A67
dc.titleA characterization of regular tetrahedra in Z^3
dc.typetext

Files

Collections

arXiv