Question

Show that each edge of the cyclic polytope $C_4(6)$ is contained in either three or four facets, and either three or four 2-faces.

score 189 · Answer 1 · 2019-03-02 17:43:42

189

Views

Show that each edge of the cyclic polytope $C_4(6)$ is contained in either three or four facets, and either three or four 2-faces.

Published on 02 Mar 2019 - 17:43

score 412 · Answer 2 · 2019-03-04 05:48:28

412

Views

Finding vertices of a polytope with a given set of inequalities.

Published on 04 Mar 2019 - 5:48

score 53 · Answer 3 · 2019-03-09 13:48:05

53

Views

Given two polytopes $P$ and $Q$, show that $(P^* \times Q^)^ = P \oplus Q $

Published on 09 Mar 2019 - 13:48

score 162 · Answer 4 · 2026-03-17 17:19:26

162

Views

Number of facets of the Birkhoff polytopes $B(n)$.

Published on 17 Mar 2026 - 17:19

score 152 · Answer 5 · 2026-03-23 20:48:28

152

Views

Does there always exist a Chebyshev center of three constant weight points in $\mathbb F_2^n$ which is equidistant?

Published on 23 Mar 2026 - 20:48

score 54 · Answer 6 · 2026-03-25 02:59:38

54

Views

Voronoi Diagram point set input

Published on 25 Mar 2026 - 2:59

score 87 · Answer 7 · 2019-04-06 12:42:41

87

Views

Projective Transformation for two distinct vertices and a linear objective function

Published on 06 Apr 2019 - 12:42

score 42 · Answer 8 · 2019-04-12 14:47:57

42

Views

Arrange points such that translates of orthants separate subsets of them

Published on 12 Apr 2019 - 14:47

score 132 · Answer 9 · 2026-03-25 06:26:35

132

Views

Convex polytope — from vertices to faces

Published on 25 Mar 2026 - 6:26

score 77 · Answer 10 · 2019-05-05 10:21:50

77

Views

Decomposing a convex quadrilateral

Published on 05 May 2019 - 10:21

score 1.4k · Answer 11 · 2026-03-25 06:27:43

1.4k

Views

Converting convex hull from $V$-representation to $H$-representation

Published on 25 Mar 2026 - 6:27

score 636 · Answer 12 · 2019-05-08 08:23:23

636

Views

Total curvature of a closed polygonal curve

Published on 08 May 2019 - 8:23

score 84 · Answer 13 · 2019-05-13 10:42:31

84

Views

Bound involving an area regular partition of $\mathbb{S}^k$

Published on 13 May 2019 - 10:42

score 198 · Answer 14 · 2019-05-15 17:17:30

198

Views

Packing points in a ball of radius 1, where every point is $\sqrt{2}$ apart

Published on 15 May 2019 - 17:17

score 58 · Answer 15 · 2019-05-16 16:34:40

58

Views

$|\partial \Lambda_n| = 2d(2n - 1)^{d-1}$

Published on 16 May 2019 - 16:34

List Question

Show that each edge of the cyclic polytope $C_4(6)$ is contained in either three or four facets, and either three or four 2-faces.

Finding vertices of a polytope with a given set of inequalities.

Given two polytopes $P$ and $Q$, show that $(P^* \times Q^)^ = P \oplus Q $

Number of facets of the Birkhoff polytopes $B(n)$.

Does there always exist a Chebyshev center of three constant weight points in $\mathbb F_2^n$ which is equidistant?

Voronoi Diagram point set input

Projective Transformation for two distinct vertices and a linear objective function

Arrange points such that translates of orthants separate subsets of them

Convex polytope — from vertices to faces

Decomposing a convex quadrilateral

Converting convex hull from $V$-representation to $H$-representation

Total curvature of a closed polygonal curve

Bound involving an area regular partition of $\mathbb{S}^k$

Packing points in a ball of radius 1, where every point is $\sqrt{2}$ apart

$|\partial \Lambda_n| = 2d(2n - 1)^{d-1}$

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