List questions from convex-geometry

Published on 28 Mar 2026 - 23:18

230

Views

If $Q$ is a polyhedron with lineality space $L$, then dim$(Q)$ = dim$(Q/L)$ + dim$(L)$, where $Q/L$ is $Q$ with $L$ “modded out”.

Published on 28 Mar 2026 - 15:21

457

Views

Is this proof of Carathéodory's theorem valid?

Published on 28 Mar 2026 - 15:26

166

Views

Finding the ellipsoid of maximum area inside a square - and extension to $\mathbb{R}^n$

Published on 13 Jan 2021 - 16:06

313

Views

Understanding the second condition in Fritz John's Theorem

Published on 25 Mar 2026 - 20:35

388

Views

If two convex polygons tile the plane, how many sides can one of them have?

Published on 28 Mar 2026 - 17:41

184

Views

What is this matrix/operator notation $\otimes$?

Published on 14 Jan 2021 - 14:21

198

Views

The relation between convex shape and its minimum bounding box

Published on 30 Mar 2026 - 21:12

71

Views

Estimate the volume of symmetric convex set in $\mathbb R^n$ in terms of the number of lattice points contained in the convex set.

Published on 29 Mar 2026 - 19:14

302

Views

To prove that the intersection of the given sets is not empty

Published on 28 Mar 2026 - 15:26

233

Views

Volume of convex body in terms of its radial function

Published on 16 Jan 2021 - 11:12

179

Views

Deriving the equation of the polar axis-aligned ellipsoid

Published on 25 Mar 2026 - 22:10

27

Views

Quasi-Concavity of Function

Published on 16 Jan 2021 - 16:39

583

Views

Need help in understanding (a part of) the proof of John's Theorem

Published on 17 Jan 2021 - 4:21

492

Views

Volume of fundamental domain in lattice of $\mathbb{Z}^2$

Published on 17 Jan 2021 - 15:46

List Question

Intersection of polytopes

If $Q$ is a polyhedron with lineality space $L$, then dim$(Q)$ = dim$(Q/L)$ + dim$(L)$, where $Q/L$ is $Q$ with $L$ “modded out”.

Is this proof of Carathéodory's theorem valid?

Finding the ellipsoid of maximum area inside a square - and extension to $\mathbb{R}^n$

Understanding the second condition in Fritz John's Theorem

If two convex polygons tile the plane, how many sides can one of them have?

What is this matrix/operator notation $\otimes$?

The relation between convex shape and its minimum bounding box

Estimate the volume of symmetric convex set in $\mathbb R^n$ in terms of the number of lattice points contained in the convex set.

To prove that the intersection of the given sets is not empty

Volume of convex body in terms of its radial function

Deriving the equation of the polar axis-aligned ellipsoid

Quasi-Concavity of Function

Need help in understanding (a part of) the proof of John's Theorem

Volume of fundamental domain in lattice of $\mathbb{Z}^2$

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