Ray Chandler, Eugen J. Ionascu
Published 2007-10-03Version 1
This 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.
Comments: 8 pages, 3 figures, continuation of previous work
A Characterization of class groups via sets of lengths {II}
A characterization of regular tetrahedra in Z^3
A characterization of finite sets that tile the integers
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