2 problems

Let $i\in\mathbb{Z}_{\geq 2}$ be the number of interior lattice points of a half-integral polygon, and require the polygon to have at least $2$ boundary lattice points. An Ehrhart…

Let $i$ be the number of collinear interior lattice points of a half-integral polygon, with $i\geq 3$. A polynomial enumeration conjecture. There are exactly … half-integral polygo…