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 192 · Answer 1 · 2026-04-16 01:49:47

192

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 16 Apr 2026 - 1:49

score 415 · Answer 2 · 2026-04-12 23:50:24

415

Views

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

Published on 12 Apr 2026 - 23:50

score 56 · Answer 3 · 2026-04-17 08:22:32

56

Views

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

Published on 17 Apr 2026 - 8:22

score 166 · Answer 4 · 2026-04-16 10:25:46

166

Views

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

Published on 16 Apr 2026 - 10:25

score 153 · Answer 5 · 2026-03-25 09:28:40

153

Views

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

Published on 25 Mar 2026 - 9:28

score 60 · Answer 6 · 2026-05-10 17:09:52

60

Views

Voronoi Diagram point set input

Published on 10 May 2026 - 17:09

score 90 · Answer 7 · 2026-04-13 13:02:17

90

Views

Projective Transformation for two distinct vertices and a linear objective function

Published on 13 Apr 2026 - 13:02

score 45 · Answer 8 · 2026-04-14 19:09:39

45

Views

Arrange points such that translates of orthants separate subsets of them

Published on 14 Apr 2026 - 19:09

score 134 · Answer 9 · 2026-04-16 10:07:13

134

Views

Convex polytope — from vertices to faces

Published on 16 Apr 2026 - 10:07

score 80 · Answer 10 · 2026-04-18 04:52:35

80

Views

Decomposing a convex quadrilateral

Published on 18 Apr 2026 - 4:52

score 1.4k · Answer 11 · 2026-04-11 08:09:44

1.4k

Views

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

Published on 11 Apr 2026 - 8:09

score 639 · Answer 12 · 2026-04-12 08:23:45

639

Views

Total curvature of a closed polygonal curve

Published on 12 Apr 2026 - 8:23

score 87 · Answer 13 · 2026-04-14 08:57:27

87

Views

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

Published on 14 Apr 2026 - 8:57

score 201 · Answer 14 · 2026-04-16 02:22:49

201

Views

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

Published on 16 Apr 2026 - 2:22

score 61 · Answer 15 · 2026-04-14 05:05:24

61

Views

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

Published on 14 Apr 2026 - 5:05

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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