Counting all regular tetrahedra in {0,1,...,n}^3

Details Counting all regular tetrahedra in {0,1,...,n}^3 Counting all regular tetrahedra in {0,1,...,n}^3

2009-12-05

arxiv.org/abs/0912.1062v1

Mathematics

Number Theory

21 pages, 6 figures, preprint

Scientific paper

In this note we describe a procedure of calculating the number all regular
tetrahedra that have coordinates in the set {0,1,...,n}. We develop a few
results that may help in finding good estimates for this sequence which is
twice A103158 in the Online Encyclopedia of Integer Sequences.

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