Question

The number of $(d-1)$-faces in a $d$-polytope is at least $(d+1)$

score 337 · Answer 1 · 2014-10-28 15:26:59

337

Views

The number of $(d-1)$-faces in a $d$-polytope is at least $(d+1)$

Published on 28 Oct 2014 - 15:26

score 281 · Answer 2 · 2026-03-25 17:37:49

281

Views

Prove that a convex $d$-polytope has at least $d+1$ facets

Published on 25 Mar 2026 - 17:37

score 66 · Answer 3 · 2014-10-29 08:07:35

66

Views

What are higher degree cantellations?

Published on 29 Oct 2014 - 8:07

score 290 · Answer 4 · 2026-03-25 10:58:48

290

Views

Uniform Sampling over Convex Polytope (not full-dimensional)

Published on 25 Mar 2026 - 10:58

score 2.5k · Answer 5 · 2026-03-25 17:38:42

2.5k

Views

Explanations about the volume of a regular simplex

Published on 25 Mar 2026 - 17:38

score 375 · Answer 6 · 2014-11-26 11:16:48

375

Views

Hamilton Path Polytope

Published on 26 Nov 2014 - 11:16

score 525 · Answer 7 · 2014-12-16 00:59:00

525

Views

Edges of a permutohedron

Published on 16 Dec 2014 - 0:59

score 2k · Answer 8 · 2014-12-17 08:41:07

2k

Views

Sparse & Dense Polynomials

Published on 17 Dec 2014 - 8:41

score 50 · Answer 9 · 2014-12-27 15:31:21

50

Views

Is there any study on noncrossing partitions for cyclic polytopes?

Published on 27 Dec 2014 - 15:31

score 411 · Answer 10 · 2019-10-04 23:33:24

411

Views

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 04 Oct 2019 - 23:33

score 2.3k · Answer 11 · 2026-03-25 19:04:32

2.3k

Views

Prove that a convex polytope has finitely many extreme points.

Published on 25 Mar 2026 - 19:04

score 195 · Answer 12 · 2026-03-16 22:20:32

195

Views

Prove that the set of doubly stochastic $3 \times 3$ matrices is a polyhedron

Published on 16 Mar 2026 - 22:20

score 110 · Answer 13 · 2026-03-25 07:48:25

110

Views

Why is a positive angle defect sufficient for the existence of convex regular polytopes?

Published on 25 Mar 2026 - 7:48

score 190 · Answer 14 · 2019-10-23 10:11:47

190

Views

Book recommendation/reference request on regular (abstract) polytopes

Published on 23 Oct 2019 - 10:11

score 50 · Answer 15 · 2026-03-25 16:03:02

50

Views

Prove that there are $n$-dimensional polytopes that don't have any diagonal for any positive integer $n\geq2$.

Published on 25 Mar 2026 - 16:03

List Question

The number of $(d-1)$-faces in a $d$-polytope is at least $(d+1)$

Prove that a convex $d$-polytope has at least $d+1$ facets

What are higher degree cantellations?

Uniform Sampling over Convex Polytope (not full-dimensional)

Explanations about the volume of a regular simplex

Hamilton Path Polytope

Edges of a permutohedron

Sparse & Dense Polynomials

Is there any study on noncrossing partitions for cyclic polytopes?

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.

Prove that the set of doubly stochastic $3 \times 3$ matrices is a polyhedron

Why is a positive angle defect sufficient for the existence of convex regular polytopes?

Book recommendation/reference request on regular (abstract) polytopes

Prove that there are $n$-dimensional polytopes that don't have any diagonal for any positive integer $n\geq2$.

Trending Questions

Popular # Hahtags

Popular Questions