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15
204
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Proof request: every polytope has a facet

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#discrete-mathematics #convex-geometry #polyhedra #polytopes #discrete-geometry
77
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Inradii of convex polytopes

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#geometry #convex-geometry #polyhedra #polytopes #discrete-geometry
241
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Maximum volume inside a convex polyhedron

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#convex-optimization #volume #polyhedra #polytopes #discrete-geometry
149
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How to determine whether a given convex polytope is contained in another given convex polytope?

Published on
#matrices #convex-analysis #polytopes #discrete-geometry #decision-problems
224
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How many sets of non-adjacent edges in the 600-cell?

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#combinatorics #graph-theory #symmetry #polytopes #big-numbers
317
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Hypersimplex coefficients

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#combinatorics #coordinate-systems #polytopes
41
Views

Proving that togling the direction of a polytope triangle yields the empty set

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#linear-algebra #geometry #triangles #polygons #polytopes
152
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Combinatorial structure of the tesseract

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#combinatorics #knot-theory #polytopes #orientation
266
Views

Is the minimum spanning tree always the optimal solution of spanning tree polytope?

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#linear-programming #approximation #combinatorial-proofs #polytopes #analysis-of-algorithms
151
Views

Understanding the wikipedia picture of the 600-cell

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#visualization #polytopes
59
Views

Making the decomposition of a polyhedron unique

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#geometry #linear-programming #polyhedra #polytopes
44
Views

Show that $P_{\mathrm{cl.ineq}}(G)$ is integral if $G$ is perfect

Published on
#graph-theory #discrete-optimization #polytopes
49
Views

Coordinates of a tesseract based on a demitesseract

Published on
#geometry #polytopes
42
Views

Two variable Ehrhart polynomials

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#combinatorics #integer-lattices #polytopes
42
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What is the complexity of checking whether two polytopes have a common vertex

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#convex-optimization #linear-programming #polytopes

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