The strict linear precision classification conjecture for lattice polytopes

Let $P$ be a lattice polytope. A polytope has strict linear precision when its toric blending parametrization satisfies the strict linear precision condition described in the paper. The Bézier simploids are the products

$$k_1\Delta_{d_1}\times\cdots\times k_r\Delta_{d_r},$$

with positive integers $k_i$ and standard simplices $\Delta_{d_i}$. The strict linear precision classification conjecture. The only lattice polytopes with strict linear precision are the Bézier simploids described in Proposition~.