List questions from discrete-geometry

Published on 09 Apr 2026 - 1:02

33

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Is there proof of equation $P = L - I + 1$ in the $2D$ space from the computational geometry?

Published on 14 Apr 2026 - 5:32

659

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Prove that a cone C is full-dimensional if and only if its dual cone $C^*$ is pointed.

Published on 22 Apr 2026 - 19:44

485

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Reference request: Good introduction to Sphere Packing

Published on 12 Apr 2026 - 7:06

282

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Definition of centrally symmetric polytopes

Published on 12 Apr 2026 - 22:56

1.1k

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Product of two polytopes is a polytope

Published on 07 May 2026 - 14:11

403

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How many uniform polytopes are there in higher dimensions?

Published on 13 Apr 2026 - 23:47

69

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Permutahedron of three vectors (1,1,0,0), (−1,1,0,0), (−1,−1,0,0).

Published on 06 May 2026 - 14:09

533

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A formula for the number of possible combinations of a $i\times j$ rectangle in a $m\times n$ grid such that they don't overlap?

Published on 15 Apr 2026 - 22:21

55

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3-polytope with 9 vertices and 8 facets

Published on 14 Apr 2026 - 18:34

192

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Equilateral triangle packing in the $l^1$ circle v.s. the $l^2$ circle

Published on 16 Apr 2026 - 15:37

133

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Definitions of pyramid (eg, tetrahedron as "$1$-fold $3$-pyramid" vs "$3$-fold pyramid")

Published on 14 Apr 2026 - 17:31

1k

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Why is this set not a polyhedron?

Published on 16 Apr 2026 - 15:28

25

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Number of odd contiguous sets under permutation

Published on 16 Apr 2026 - 9:40

86

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How to check the dimension of a given set in $\mathbb R^n$?

Published on 12 Apr 2026 - 8:18

List Question

Comparing discretized manifolds

Is there proof of equation $P = L - I + 1$ in the $2D$ space from the computational geometry?

Prove that a cone C is full-dimensional if and only if its dual cone $C^*$ is pointed.

Reference request: Good introduction to Sphere Packing

Definition of centrally symmetric polytopes

Product of two polytopes is a polytope

How many uniform polytopes are there in higher dimensions?

Permutahedron of three vectors (1,1,0,0), (−1,1,0,0), (−1,−1,0,0).

A formula for the number of possible combinations of a $i\times j$ rectangle in a $m\times n$ grid such that they don't overlap?

3-polytope with 9 vertices and 8 facets

Equilateral triangle packing in the $l^1$ circle v.s. the $l^2$ circle

Definitions of pyramid (eg, tetrahedron as "$1$-fold $3$-pyramid" vs "$3$-fold pyramid")

Why is this set not a polyhedron?

Number of odd contiguous sets under permutation

How to check the dimension of a given set in $\mathbb R^n$?

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