On Lattice Barycentric Tetrahedra

Details On Lattice Barycentric Tetrahedra On Lattice Barycentric Tetrahedra

2004-01-05

arxiv.org/abs/math/0401037v1

Mathematics

Combinatorics

9 pages, 4 tables

Scientific paper

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).

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