Document Type

Article

Publication Date

2013

Publication Title

Acta Math. Univ. Comenianae

Abstract

First, we calculate the Ehrhart polynomial associated with an arbitrary cube with integer coordinates for its vertices. Then, we use this result to derive relationships between the Ehrhart polynomials for regular lattice tetrahedra and those for regular lattice octahedra. These relations allow one to reduce the calculation of these polynomials to only one coefficient.

Included in

Mathematics Commons

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