Question

Why does Klein's quartic curve have 24 heptagonal faces/56 triangular faces as a tiling?

score 120 · Answer 1 · 2026-03-27 18:48:40

120

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Why does Klein's quartic curve have 24 heptagonal faces/56 triangular faces as a tiling?

Published on 27 Mar 2026 - 18:48

score 82 · Answer 2 · 2022-02-09 11:26:28

82

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Is there a polyhedron whose face lattice is a given lattice with the "diamond property"?

Published on 09 Feb 2022 - 11:26

score 35 · Answer 3 · 2022-02-20 17:57:17

35

Views

Orthogonal projections of $d$-dimensional skeleta of $n$-cubes in $\mathbb{R}^n$.

Published on 20 Feb 2022 - 17:57

score 172 · Answer 4 · 2022-02-23 23:27:43

172

Views

Proving that the free sum of two Polyhedra is a Polyhedra

Published on 23 Feb 2022 - 23:27

score 52 · Answer 5 · 2022-02-25 20:50:27

52

Views

Prove that the number of $k$-simplexes in an $n$-orthoplex is $2^{k+1}\binom{n}{k+1}$ (where $n,k \in \mathbb{N}$ with $0 \leqslant k < n$)?

Published on 25 Feb 2022 - 20:50

score 232 · Answer 6 · 2022-02-28 23:11:33

232

Views

Ray polytope intersection?

Published on 28 Feb 2022 - 23:11

score 29 · Answer 7 · 2022-03-04 17:51:19

29

Views

Counting number of n-faces in a uniform 7-polytope

Published on 04 Mar 2022 - 17:51

score 25 · Answer 8 · 2022-03-11 23:13:16

25

Views

Counting the faces of a polytope and its dual

Published on 11 Mar 2022 - 23:13

score 35 · Answer 9 · 2022-03-12 19:09:44

35

Views

Edges of the 4_21 polytope

Published on 12 Mar 2022 - 19:09

score 271 · Answer 10 · 2022-03-18 22:11:01

271

Views

Given a simplex $S$ with vertex set V, show that any the convex hull of any subset $V' \subseteq V$ is also a face of $S$.

Published on 18 Mar 2022 - 22:11

score 122 · Answer 11 · 2022-03-29 09:43:28

122

Views

Uniformly sampling from the cone of feasible directions in case of linear inequalities.

Published on 29 Mar 2022 - 9:43

score 59 · Answer 12 · 2026-03-29 04:34:17

59

Views

Two definitions about reflexive polytopes

Published on 29 Mar 2026 - 4:34

score 57 · Answer 13 · 2026-03-27 13:41:08

57

Views

Rewriting an equation as a set of inequalities

Published on 27 Mar 2026 - 13:41

score 610 · Answer 14 · 2026-03-27 21:16:52

610

Views

Fastest way to solve vertex enumeration problem in python

Published on 27 Mar 2026 - 21:16

score 145 · Answer 15 · 2022-04-25 16:32:20

145

Views

Ray through Polytope boundary(vertex/surface)?

Published on 25 Apr 2022 - 16:32

List Question

Why does Klein's quartic curve have 24 heptagonal faces/56 triangular faces as a tiling?

Is there a polyhedron whose face lattice is a given lattice with the "diamond property"?

Orthogonal projections of $d$-dimensional skeleta of $n$-cubes in $\mathbb{R}^n$.

Proving that the free sum of two Polyhedra is a Polyhedra

Prove that the number of $k$-simplexes in an $n$-orthoplex is $2^{k+1}\binom{n}{k+1}$ (where $n,k \in \mathbb{N}$ with $0 \leqslant k < n$)?

Ray polytope intersection?

Counting number of n-faces in a uniform 7-polytope

Counting the faces of a polytope and its dual

Edges of the 4_21 polytope

Given a simplex $S$ with vertex set V, show that any the convex hull of any subset $V' \subseteq V$ is also a face of $S$.

Uniformly sampling from the cone of feasible directions in case of linear inequalities.

Two definitions about reflexive polytopes

Rewriting an equation as a set of inequalities

Fastest way to solve vertex enumeration problem in python

Ray through Polytope boundary(vertex/surface)?

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