On Lattice Barycentric Tetrahedra
Combinatorics
2007-05-23 v1
Abstract
We say a lattice tetrahedron whose centroid is its only non-vertex lattice point is lattice barycentric. The notation T(a,b,c) describes the lattice tetrahedron with vertices {0, e_1, e_2, a e_1 + b e_2 + c e_3}. Our result is that all such T(a,b,c) are unimodularly equivalent to T(3,3,4) or T(7,11,20).
Keywords
Cite
@article{arxiv.math/0401037,
title = {On Lattice Barycentric Tetrahedra},
author = {Brian Mazur},
journal= {arXiv preprint arXiv:math/0401037},
year = {2007}
}
Comments
9 pages, 4 tables