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math.NT2009★ 2 cited
Platonic solids in
Eugen J. Ionascu, Andrei Markov
Extending previous results on a characterization of all equilateral triangle in space having vertices with integer coordinates ("in "), we look at the problem of chara…
math.NT2007★ 8 cited
A characterization of regular tetrahedra in Z^3
Eugen J. Ionascu
In 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 tria…
math.NT2007★ 1 cited
A characterization of all equilateral triangles in \Bbb Z^3
Ray Chandler, Eugen J. Ionascu
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 coordinat…