List questions from discrete-geometry

Published on 14 Apr 2026 - 16:18

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Triangulation of hypercubes into simplices

Published on 16 Apr 2026 - 16:37

99

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What is the fundamental theorem on discrete groups of Euclidean spaces?

Published on 12 Apr 2026 - 2:47

22

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Closedness of Voronoi cells.

Published on 11 Apr 2026 - 3:25

414

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For polyhedron $P$, vector $a$, scalar $b$, prove that $Q:=\{x\in P:a^tx\leq b\}$ is a polyhedron. Also, can $Q=P$?

Published on 17 Apr 2026 - 1:36

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Prove that a convex polytope has finitely many extreme points.

Published on 14 Apr 2026 - 14:35

27

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Examples of locally finite set whose convex hull is the whole $\mathbb{R}^n$.

Published on 13 Apr 2026 - 13:15

356

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The convex hull of a function.

Published on 12 Apr 2026 - 14:57

94

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The set of singular points of the boundary of a convex body is meagre.

Published on 25 Mar 2026 - 19:07

165

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Explanation of Blaschke's selection theorem

Published on 30 Apr 2026 - 18:09

269

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Extension of Caratheodory’s Theorem

Published on 25 Mar 2026 - 11:19

607

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Linear Combination of Points

Published on 09 Apr 2026 - 1:54

227

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Definition and Example of Polytope Shelling.

Published on 09 Apr 2026 - 20:23

180

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The volume of any simplices in $\mathbb{R}^n$ with $n+1$ Extreme points

Published on 11 May 2026 - 9:48

69

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Volume of the convex hull of the rows of a circulant matrix

Published on 25 Apr 2026 - 16:34

List Question

Prove that a planar bipartite graph on n nodes has at most 2n−4 edges.

Triangulation of hypercubes into simplices

What is the fundamental theorem on discrete groups of Euclidean spaces?

Closedness of Voronoi cells.

For polyhedron $P$, vector $a$, scalar $b$, prove that $Q:=\{x\in P:a^tx\leq b\}$ is a polyhedron. Also, can $Q=P$?

Prove that a convex polytope has finitely many extreme points.

Examples of locally finite set whose convex hull is the whole $\mathbb{R}^n$.

The convex hull of a function.

The set of singular points of the boundary of a convex body is meagre.

Explanation of Blaschke's selection theorem

Extension of Caratheodory’s Theorem

Linear Combination of Points

Definition and Example of Polytope Shelling.

The volume of any simplices in $\mathbb{R}^n$ with $n+1$ Extreme points

Volume of the convex hull of the rows of a circulant matrix

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