Question

Noncoercive convex function with bounded set of minimizers

score 108 · Answer 1 · 2023-02-20 16:51:19

108

Views

Noncoercive convex function with bounded set of minimizers

Published on 20 Feb 2023 - 16:51

score 102 · Answer 2 · 2026-03-26 04:30:57

102

Views

Variant of Erdos-Szekeres theorem

Published on 26 Mar 2026 - 4:30

score 78 · Answer 3 · 2026-03-27 14:45:27

78

Views

Precise definition of convex polygons/polyhedra

Published on 27 Mar 2026 - 14:45

score 108 · Answer 4 · 2023-03-03 08:26:50

108

Views

Prove that there does not exist a convex polyhedron with three triangles, six pentagons, and five heptagons.

Published on 03 Mar 2023 - 8:26

score 212 · Answer 5 · 2023-03-10 19:33:33

212

Views

Compute minimum distance between two convex polygons in 2d

Published on 10 Mar 2023 - 19:33

score 33 · Answer 6 · 2026-03-27 10:09:31

33

Views

Fitting a convex polytope between two balls of different radii

Published on 27 Mar 2026 - 10:09

score 128 · Answer 7 · 2026-03-25 11:20:11

128

Views

Does every pointed polyhedral cone in $\mathbb{R}^n$ generated by its $n+1$ extreme rays contain two extreme ray vectors whose sum is in the interior?

Published on 25 Mar 2026 - 11:20

score 98 · Answer 8 · 2023-03-22 22:25:59

98

Views

What is the minimum number of facets needed to fit a convex polytope between two concentric spheres?

Published on 22 Mar 2023 - 22:25

score 61 · Answer 9 · 2026-03-26 03:01:38

61

Views

Suppose $P_1$ and $P_2$ are two $n$-dimensional convex polytopes. Does $\partial P_1 \subseteq\partial P_2$ imply that $P_1 = P_2$?

Published on 26 Mar 2026 - 3:01

score 111 · Answer 10 · 2023-03-27 20:29:32

111

Views

Is some convex combination of vectors in the same direction as all those vectors?

Published on 27 Mar 2023 - 20:29

score 60 · Answer 11 · 2026-03-26 06:12:49

60

Views

Proof that line is edge of convex hull

Published on 26 Mar 2026 - 6:12

score 87 · Answer 12 · 2026-03-26 04:36:22

87

Views

For an interior point of a convex hull, does there exist a polytope with vertexes in the set and with that point as an interior point?

Published on 26 Mar 2026 - 4:36

score 97 · Answer 13 · 2023-04-02 11:30:30

97

Views

How many convex polygons can be made from $16$ identical right angle triangles?

Published on 02 Apr 2023 - 11:30

score 56 · Answer 14 · 2026-03-27 00:09:32

56

Views

Intuition for Projective Transformations $\mathbb{R}^d\to\mathbb{R}^d$

Published on 27 Mar 2026 - 0:09

score 39 · Answer 15 · 2023-04-05 11:48:50

39

Views

If $\text{cl(conv}(B))=A$, prove that $\text{ext}(A)\subset \text{cl}(B)$

Published on 05 Apr 2023 - 11:48

List Question

Noncoercive convex function with bounded set of minimizers

Variant of Erdos-Szekeres theorem

Precise definition of convex polygons/polyhedra

Prove that there does not exist a convex polyhedron with three triangles, six pentagons, and five heptagons.

Compute minimum distance between two convex polygons in 2d

Fitting a convex polytope between two balls of different radii

Does every pointed polyhedral cone in $\mathbb{R}^n$ generated by its $n+1$ extreme rays contain two extreme ray vectors whose sum is in the interior?

What is the minimum number of facets needed to fit a convex polytope between two concentric spheres?

Suppose $P_1$ and $P_2$ are two $n$-dimensional convex polytopes. Does $\partial P_1 \subseteq\partial P_2$ imply that $P_1 = P_2$?

Is some convex combination of vectors in the same direction as all those vectors?

Proof that line is edge of convex hull

For an interior point of a convex hull, does there exist a polytope with vertexes in the set and with that point as an interior point?

How many convex polygons can be made from $16$ identical right angle triangles?

Intuition for Projective Transformations $\mathbb{R}^d\to\mathbb{R}^d$

If $\text{cl(conv}(B))=A$, prove that $\text{ext}(A)\subset \text{cl}(B)$

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