A characterization of all equilateral triangles in \Bbb Z^3
Number Theory
2007-10-04 v1
Abstract
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 (A 102698) is given and the asymptotic behavior of this sequence is analyzed.
Keywords
Cite
@article{arxiv.0710.0708,
title = {A characterization of all equilateral triangles in \Bbb Z^3},
author = {Ray Chandler and Eugen J. Ionascu},
journal= {arXiv preprint arXiv:0710.0708},
year = {2007}
}
Comments
8 pages, 3 figures, continuation of previous work