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Results tagged with convex-polytopes
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user 30800
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
6
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Vertices of a Polytope
$Q$ can have arbitrarily many more vertices than $P$, even in 3 dimensions.
Suppose $v$ is a vertex of degree 3 in $Q$ (degree $d$, in $d$ dimensions), and the three incident faces are not triangles …
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