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Ehrhart's polynomial for equilateral triangles in $\mathbb Z^3$
Ehrhart polynomial linear Diophantine equations lattice points equilateral triangles sequences regular integral polytopes
2011/8/25
Abstract: In this paper we calculate the Ehrhart's polynomial associated with a 2-dimensional regular polytope (i.e. equilateral triangles) in $\mathbb Z^3$. The polynomial takes a relatively simple f...