List questions from polytopes

Published on 02 Jun 2020 - 20:02

30

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Is there a name for the smallest $c$ so that $c\cdot P$ is an integral polytope?

Published on 03 Jun 2020 - 21:05

71

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Reference for "how to read of the faces of a uniform polytope from its Coxeter diagram"

Published on 25 Mar 2026 - 11:14

100

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lower boundary of a polytope

Published on 15 Jun 2020 - 1:58

29

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Efficiently checking if a polytope has more than $N$ lattice points in its relative interior.

Published on 17 Jun 2020 - 18:48

134

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I'm having trouble identifying a 4-polytope from its system of inequalities

Published on 19 Jun 2020 - 18:27

111

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What is a polytope/polyhedron with $O(n)$ vertices each with degree $O(\sqrt{n})$?

Published on 26 Jun 2020 - 7:30

89

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Sections of an abstract polytope

Published on 05 Jul 2020 - 18:42

62

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Intersection of $(n-1)$-unit simplex and $n$-orthotope

Published on 08 Jul 2020 - 12:41

448

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Given the vertices of a convex polytope, calculate its centroid

Published on 23 Feb 2026 - 8:32

263

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Handelman's Theorem on Nonnegative polynomial in Compact Polytope?

Published on 23 Jul 2016 - 15:54

279

Views

Nichtnegativstellensatz the same as Handelman's Theorem?

Published on 23 Jul 2016 - 16:13

271

Views

Derive a vertex representation of a permutohedron from its linear-inequalities form

Published on 06 Aug 2016 - 15:15

192

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Permutohedron: Wikipedia vs. Günter Matthias Ziegler

Published on 16 Aug 2016 - 20:49

214

Views

The 57-cell in 5D or 4D

Published on 18 Aug 2016 - 22:52

List Question

Topological decomposition of a smooth manifold

Is there a name for the smallest $c$ so that $c\cdot P$ is an integral polytope?

Reference for "how to read of the faces of a uniform polytope from its Coxeter diagram"

lower boundary of a polytope

Efficiently checking if a polytope has more than $N$ lattice points in its relative interior.

I'm having trouble identifying a 4-polytope from its system of inequalities

What is a polytope/polyhedron with $O(n)$ vertices each with degree $O(\sqrt{n})$?

Sections of an abstract polytope

Intersection of $(n-1)$-unit simplex and $n$-orthotope

Given the vertices of a convex polytope, calculate its centroid

Handelman's Theorem on Nonnegative polynomial in Compact Polytope?

Nichtnegativstellensatz the same as Handelman's Theorem?

Derive a vertex representation of a permutohedron from its linear-inequalities form

Permutohedron: Wikipedia vs. Günter Matthias Ziegler

The 57-cell in 5D or 4D

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