arXiv Analytics

Sign in

arXiv:0912.1062 [math.NT]AbstractReferencesReviewsResources

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

Eugen J. Ionascu

Published 2009-12-05Version 1

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.

Comments: 21 pages, 6 figures, preprint
Categories: math.NT
Subjects: 11D09
Related articles: Most relevant | Search more
arXiv:1003.4569 [math.NT] (Published 2010-03-24)
Counting all cubes in {0,1,...,n}^3
arXiv:1007.1655 [math.NT] (Published 2010-07-09)
Counting all regular octahedrons in {0,1,...,n}^3
arXiv:0712.3951 [math.NT] (Published 2007-12-23, updated 2007-12-31)
A characterization of regular tetrahedra in Z^3

Links

Toolbox