Question

Is a planar square on the equator a locally energy minimizing configuration of electrons on $\mathbb{S}^2$?

score 67 · Answer 1 · 2022-05-21 22:48:03

67

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Is a planar square on the equator a locally energy minimizing configuration of electrons on $\mathbb{S}^2$?

Published on 21 May 2022 - 22:48

score 50 · Answer 2 · 2022-05-22 18:12:12

50

Views

A square on the equator of a sphere is a critical point of the electrostatic potential

Published on 22 May 2022 - 18:12

score 73 · Answer 3 · 2026-03-31 06:29:53

73

Views

Are the only quadrilaterals satisfying this symmetric relation rectangles?

Published on 31 Mar 2026 - 6:29

score 159 · Answer 4 · 2026-03-25 17:24:39

159

Views

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

Published on 25 Mar 2026 - 17:24

score 115 · Answer 5 · 2022-05-30 20:27:52

115

Views

Symmetries of multifocal ellipses

Published on 30 May 2022 - 20:27

score 533 · Answer 6 · 2022-06-02 19:21:19

533

Views

On projection operators for irreducible representations of finite groups

Published on 02 Jun 2022 - 19:21

score 67 · Answer 7 · 2026-03-27 03:59:16

67

Views

Is any function on $(\mathbb S^1)^4$ which is invariant under isometries, invariant under permutations?

Published on 27 Mar 2026 - 3:59

score 200 · Answer 8 · 2022-06-12 09:18:51

200

Views

Distances between points on a sphere determine them up to isometry

Published on 12 Jun 2022 - 9:18

score 37 · Answer 9 · 2026-03-30 20:57:08

37

Views

The distance to a linearly independent vectors on the sphere determines a point uniquely

Published on 30 Mar 2026 - 20:57

score 43 · Answer 10 · 2026-03-27 03:57:44

43

Views

Is any $S_4$-invariant function also $S_6$ invariant?

Published on 27 Mar 2026 - 3:57

score 83 · Answer 11 · 2022-06-12 18:57:29

83

Views

The relationship between proportionality and symmetry

Published on 12 Jun 2022 - 18:57

score 118 · Answer 12 · 2022-06-13 06:49:45

118

Views

Is the space of distinct triples homeomorphic to a union of products?

Published on 13 Jun 2022 - 6:49

score 115 · Answer 13 · 2022-06-14 15:04:31

115

Views

Understanding the smoothness of the Poincaré homology sphere

Published on 14 Jun 2022 - 15:04

score 31 · Answer 14 · 2026-03-27 03:58:04

31

Views

A square is a critical point of any isometric-invariant permutation-invariant function

Published on 27 Mar 2026 - 3:58

score 70 · Answer 15 · 2022-06-18 13:19:20

70

Views

Describe the symmetries of the graph $\{(x,y)\in \Bbb R^2\mid y^3-x \in \Bbb Z\}$ in the plane.

Published on 18 Jun 2022 - 13:19

List Question

Is a planar square on the equator a locally energy minimizing configuration of electrons on $\mathbb{S}^2$?

A square on the equator of a sphere is a critical point of the electrostatic potential

Are the only quadrilaterals satisfying this symmetric relation rectangles?

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

Symmetries of multifocal ellipses

On projection operators for irreducible representations of finite groups

Is any function on $(\mathbb S^1)^4$ which is invariant under isometries, invariant under permutations?

Distances between points on a sphere determine them up to isometry

The distance to a linearly independent vectors on the sphere determines a point uniquely

Is any $S_4$-invariant function also $S_6$ invariant?

The relationship between proportionality and symmetry

Is the space of distinct triples homeomorphic to a union of products?

Understanding the smoothness of the Poincaré homology sphere

A square is a critical point of any isometric-invariant permutation-invariant function

Describe the symmetries of the graph $\{(x,y)\in \Bbb R^2\mid y^3-x \in \Bbb Z\}$ in the plane.

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