List questions from polytopes

Published on 10 Jan 2020 - 1:40

554

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Justify the term "face lattice": When is an abstract polytope an order-theoretic lattice?

Published on 10 Jan 2020 - 4:17

105

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Triangulation of Hypercube

Published on 25 Mar 2026 - 17:28

150

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Dihedral angle from Coxeter diagram

Published on 13 Jan 2020 - 13:47

326

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What is the function of the equation set in the definition of a polyhedron？

Published on 26 Mar 2026 - 4:37

494

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What is the dual cone of a convex polyhedron?

Published on 26 Mar 2026 - 4:34

101

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Is the Intersection of an Integral and half-integral polytopes half-integral?

Published on 25 Jan 2020 - 10:39

2k

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Bounded Polyhedron/Polytope

Published on 25 Jan 2020 - 12:17

100

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Volume of convex polytope with $\mathcal{H}$-representation

Published on 26 Mar 2026 - 4:32

173

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Set inclusion between convex polytopes with $\mathcal{H}$-representation

Published on 23 Feb 2026 - 8:31

188

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Proof: Each linear subspace of $\Bbb R^n$ (or $\Bbb Q^n$) is also the intersection of finitely many linear hyperplanes

Published on 02 Feb 2020 - 23:40

941

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Direct sum of two polyhedra is a polyhedron

Published on 03 Feb 2020 - 3:26

29

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Decomposing a point in a polytope with a randomly sampled set of its extremal points

Published on 07 Feb 2020 - 18:28

1.2k

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Packing/tessellating 3 dimensional space fully by polytopes? Give examples.

Published on 25 Mar 2026 - 9:15

221

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Packing/tessellating 4 dimensional space fully by polytopes? Give examples.

Published on 25 Mar 2026 - 9:14

List Question

A "lifting property" for linear maps on cubes?

Justify the term "face lattice": When is an abstract polytope an order-theoretic lattice?

Triangulation of Hypercube

Dihedral angle from Coxeter diagram

What is the function of the equation set in the definition of a polyhedron？

What is the dual cone of a convex polyhedron?

Is the Intersection of an Integral and half-integral polytopes half-integral?

Bounded Polyhedron/Polytope

Volume of convex polytope with $\mathcal{H}$-representation

Set inclusion between convex polytopes with $\mathcal{H}$-representation

Proof: Each linear subspace of $\Bbb R^n$ (or $\Bbb Q^n$) is also the intersection of finitely many linear hyperplanes

Direct sum of two polyhedra is a polyhedron

Decomposing a point in a polytope with a randomly sampled set of its extremal points

Packing/tessellating 3 dimensional space fully by polytopes? Give examples.

Packing/tessellating 4 dimensional space fully by polytopes? Give examples.

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