Question

Can $n$ convex solids in $\mathbb{R}^3$ be mutually touching?

score 106 · Answer 1 · 2020-12-14 22:09:07

106

Views

Can $n$ convex solids in $\mathbb{R}^3$ be mutually touching?

Published on 14 Dec 2020 - 22:09

score 62 · Answer 2 · 2020-12-17 19:39:00

62

Views

$\operatorname{vol}(\operatorname{int}(Z+K))=\operatorname{vol}(Z+\operatorname{int}K)$ when $Z$ is a finite set

Published on 17 Dec 2020 - 19:39

score 289 · Answer 3 · 2026-03-30 10:13:18

289

Views

What is the average projected area of a thickened non-convex body?

Published on 30 Mar 2026 - 10:13

score 168 · Answer 4 · 2026-03-29 16:50:11

168

Views

Proving quasiconvexity of $x^3 + y^3$

Published on 29 Mar 2026 - 16:50

score 280 · Answer 5 · 2026-03-29 17:27:02

280

Views

How to intuitively understand the $n$-dimensional cube as the dimension grows large

Published on 29 Mar 2026 - 17:27

score 625 · Answer 6 · 2020-12-20 07:32:47

625

Views

Reference recommendations for Convex Geometry

Published on 20 Dec 2020 - 7:32

score 192 · Answer 7 · 2020-12-20 16:24:28

192

Views

Is a broken (Euclidean) ball still convex?

Published on 20 Dec 2020 - 16:24

score 130 · Answer 8 · 2020-12-23 04:22:29

130

Views

Graph of a convex function and normal vectors

Published on 23 Dec 2020 - 4:22

score 706 · Answer 9 · 2020-12-23 13:08:00

706

Views

Visualising the Minkowski sum of two triangles

Published on 23 Dec 2020 - 13:08

score 58 · Answer 10 · 2026-03-30 16:48:17

58

Views

All affine sets are affine subspaces (and vice-versa)

Published on 30 Mar 2026 - 16:48

score 438 · Answer 11 · 2020-12-24 10:41:06

438

Views

How is the volume of a cross-polytope in $\mathbb{R}^n = \frac{2^n}{n!}$?

Published on 24 Dec 2020 - 10:41

score 86 · Answer 12 · 2020-12-26 05:41:22

86

Views

Understanding $(r,\theta)$ in $\mathbb{R}^n$ - how does $\theta$ represent $n-1$ coordinates?

Published on 26 Dec 2020 - 5:41

score 105 · Answer 13 · 2020-12-26 14:42:41

105

Views

How do we find the volume of an Euclidean ball in $\mathbb{R}^n$?

Published on 26 Dec 2020 - 14:42

score 130 · Answer 14 · 2026-03-28 23:20:09

130

Views

Let $P$ be a polytope of dimension $d$. Then for some $v \notin$ aff($P$), the pyramid $v \ast P$ has dimension $d+1$.

Published on 28 Mar 2026 - 23:20

score 135 · Answer 15 · 2020-12-27 11:40:57

135

Views

Why does $\frac{V_n}{A_n}$ represent the concentration of volume around the boundary?

Published on 27 Dec 2020 - 11:40

List Question

Can $n$ convex solids in $\mathbb{R}^3$ be mutually touching?

$\operatorname{vol}(\operatorname{int}(Z+K))=\operatorname{vol}(Z+\operatorname{int}K)$ when $Z$ is a finite set

What is the average projected area of a thickened non-convex body?

Proving quasiconvexity of $x^3 + y^3$

How to intuitively understand the $n$-dimensional cube as the dimension grows large

Reference recommendations for Convex Geometry

Is a broken (Euclidean) ball still convex?

Graph of a convex function and normal vectors

Visualising the Minkowski sum of two triangles

All affine sets are affine subspaces (and vice-versa)

How is the volume of a cross-polytope in $\mathbb{R}^n = \frac{2^n}{n!}$?

Understanding $(r,\theta)$ in $\mathbb{R}^n$ - how does $\theta$ represent $n-1$ coordinates?

How do we find the volume of an Euclidean ball in $\mathbb{R}^n$?

Let $P$ be a polytope of dimension $d$. Then for some $v \notin$ aff($P$), the pyramid $v \ast P$ has dimension $d+1$.

Why does $\frac{V_n}{A_n}$ represent the concentration of volume around the boundary?

Trending Questions

Popular # Hahtags

Popular Questions