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Convex polytopes are the convex hulls of a finite set of points in Euclidean spaces. They have rich combinatorial, arithmetic, and metrical theory, and are related to toric varieties and to linear programming
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geometry of intersection of 2 polytope in higher dimension [closed]
Suppose $P_{1}$ is a $\frac{n}{2}$-dimension polytope in $ R^{n}$ with barycenter $c$, and $P_{2}$ is a $(n-1)$-simplex in $R^{n}$ with the same barycenter as $P_{1}$, i.e $c$ . And also suppose they …