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Results tagged with convex-polytopes
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user 12722
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
54
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Accepted
The amplituhedron minus the physics
Nima Arkani-Hamed had a series of talks at JHU roughly 6 months ago which I attended related to this topic. He discussed it at Stony Brook a little bit over a week ago (pointed out by Emilio Pisanty i …
- 27.8k
2
votes
1
answer
215
views
Subspace of $\mathbb{R}^n$ spanned by the image of convex $(n-1)$-polyhedra under the face-c...
Fix $n \in \mathbb{N}$. A convex polyhedron $C$ in $\mathbb{R}^n$ is the convex hull of finitely many points with nonempty interior. For $H$ a supporting hyperplane, ie $C$ is contained in one of the …
- 85.6k