Question

Does this argument show that we do not need to define the Platonic solids as convex?

score 152 · Answer 1 · 2021-11-09 20:57:01

152

Views

Does this argument show that we do not need to define the Platonic solids as convex?

Published on 09 Nov 2021 - 20:57

score 36 · Answer 2 · 2021-11-11 20:22:46

36

Views

Given the vertices of a solid face, compute the distance of a point from the face

Published on 11 Nov 2021 - 20:22

score 194 · Answer 3 · 2022-02-23 04:53:02

194

Views

Inscribing a regular tetrahedron in another regular tetrahedron

Published on 23 Feb 2022 - 4:53

score 55 · Answer 4 · 2022-03-05 14:28:50

55

Views

Volume of objects like hypercube / hypersphere : $V_{n}^{(m)}(r) = \dots$

Published on 05 Mar 2022 - 14:28

score 351 · Answer 5 · 2022-03-17 23:26:04

351

Views

Nested Platonic Solids, shortest and longest distances to vertices

Published on 17 Mar 2022 - 23:26

score 181 · Answer 6 · 2022-03-31 13:10:33

181

Views

Common region between an icosahedron and a dodecahedron

Published on 31 Mar 2022 - 13:10

score 58 · Answer 7 · 2022-04-14 21:57:35

58

Views

Will the dihedral angles of the Platonic solids become rational if one switches to radians?

Published on 14 Apr 2022 - 21:57

score 1.1k · Answer 8 · 2022-04-26 18:34:20

1.1k

Views

The vertices of a tetrahedron lie on a sphere

Published on 26 Apr 2022 - 18:34

score 23 · Answer 9 · 2022-04-28 13:56:52

23

Views

The segment from a vertex of a regular tetrahedron to the center of its circumsphere is orthogonal to the opposing face

Published on 28 Apr 2022 - 13:56

score 74 · Answer 10 · 2022-04-29 13:08:28

74

Views

The barycenter of a regular tetrahedron coincides with the center of its circumsphere

Published on 29 Apr 2022 - 13:08

score 158 · Answer 11 · 2022-05-27 03:15:50

158

Views

Does the 120-cell have 5 inscribed 600-cells?

Published on 27 May 2022 - 3:15

score 206 · Answer 12 · 2026-02-23 12:34:37

206

Views

Coloring the faces of the regular icosahedron, again...

Published on 23 Feb 2026 - 12:34

score 547 · Answer 13 · 2022-08-09 20:09:21

547

Views

Regular icosahedron with integer vertices

Published on 09 Aug 2022 - 20:09

score 45 · Answer 14 · 2023-01-12 22:07:40

45

Views

Proportion of regular tetrahedron occupied by mutually tangent balls centred at its vertices

Published on 12 Jan 2023 - 22:07

List Question

Does this argument show that we do not need to define the Platonic solids as convex?

Given the vertices of a solid face, compute the distance of a point from the face

Inscribing a regular tetrahedron in another regular tetrahedron

Volume of objects like hypercube / hypersphere : $V_{n}^{(m)}(r) = \dots$

Nested Platonic Solids, shortest and longest distances to vertices

Common region between an icosahedron and a dodecahedron

Will the dihedral angles of the Platonic solids become rational if one switches to radians?

The vertices of a tetrahedron lie on a sphere

The segment from a vertex of a regular tetrahedron to the center of its circumsphere is orthogonal to the opposing face

The barycenter of a regular tetrahedron coincides with the center of its circumsphere

Does the 120-cell have 5 inscribed 600-cells?

Coloring the faces of the regular icosahedron, again...

Regular icosahedron with integer vertices

Proportion of regular tetrahedron occupied by mutually tangent balls centred at its vertices

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