On Lattice Barycentric Tetrahedra

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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).
9 pages, 4 tables

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Combinatorics, 52B20

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http://salesiana.dossiersoluciones.com/handle/123456789/69778

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0401037
 http://arxiv.org/abs/math/0401037

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arXiv