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15
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How to read off the facets of polytopes from their Gale diagrams and affine Gale diagrams?

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#discrete-mathematics #polytopes #discrete-geometry
179
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It this an image of a rotating polytope in $\mathbb R^4$?

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#polytopes
1.6k
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Minimum Volume Enclosing Ellipsoids

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#optimization #convex-optimization #simplex #polytopes
308
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Can the interior of the intersection of a closed and an open set be empty if the intersection is non-empty?

Published on
#measure-theory #polytopes
30
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situation of simplex in the same layer with the same barycenter

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#convex-optimization #simplex #polytopes #convex-geometry #convex-hulls
122
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The distance between barycenter and facet of a simplex

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#convex-optimization #simplex #polytopes
44
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Can we count the number of polygons in conv((0,0),(d,0),(0,d))?

Published on
#combinatorics #polytopes
198
Views

intersection of 2 simplices

Published on
#geometry #simplex #polytopes #convex-geometry
38
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Is there a way of understanding the finite number of regular polytopes in dimension other than 2 by means of Lie groups?

Published on
#geometry #lie-groups #polytopes
1.1k
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Convex hulls and convex combinations

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#convex-analysis #linear-programming #polytopes #convex-hulls
91
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looking for finding the shape of a 3D polytope in $\mathbb{R^{6}}$

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#polyhedra #polytopes #convex-hulls
134
Views

0-1 Knapsack problem, minimal dependent sets,another unclear proof

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#integer-programming #discrete-optimization #polytopes #matroids #binary-programming
330
Views

Minimum distance between two vertices of an $\mathcal H$-polytope

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#geometry #optimization #linear-programming #polyhedra #polytopes
180
Views

Is the reverse of a shelling of a polytope always a shelling?

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#combinatorics #polytopes
32
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Concrete Analytic Geometry of Polygonal Shapes

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#analytic-geometry #polytopes

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