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Average-sized miniatures and normal-sized miniatures of lattice polytopes
Let $d \geq 0$ be an integer and $P \subset \mathbb R^d$ be a $d$-dimensional lattice polytope. We call a polytope $M \subset \mathbb R^d$ such that $M \subset P$ and $M \sim P$ a miniature of $P,$ and it is said to be horizontal if $M$ is transformed into …