List questions from spherical-geometry

Published on 25 Mar 2026 - 17:52

46

Views

$\min_v {\frac{u^Tv}{\|u\|_2\|v\|_2}}$ subject to $v_i\geq 0,\forall i$ with fixed vector $u\in R^n_+$?

Published on 29 Apr 2020 - 23:59

495

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Four Orthogonal Circles on a Sphere

Published on 01 May 2020 - 11:47

70

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Is it easy to see that $S^2\times S^1$ does not admit Euclidean, Hyperbolic or Elliptic geometry?

Published on 25 Mar 2026 - 16:13

1.2k

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Green's theorem (integration by parts) on the unit sphere

Published on 25 Mar 2026 - 13:54

62

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Reconstruct a sphere from 6 patches

Published on 25 Mar 2026 - 12:31

55

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Fun thing to think about: Parametrize a sphere from the outside

Published on 25 Mar 2026 - 12:37

59

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Given a matrix nxd, what is the radius of its hypersphere?

Published on 18 May 2020 - 16:53

172

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Find the rate at which distances decrease in stereographic projection

Published on 25 Mar 2026 - 2:56

242

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A geodesic on a unit sphere

Published on 26 Mar 2026 - 10:56

954

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Two great circles intersect at two antipodal points (Spherical Geometry)

Published on 31 May 2020 - 3:35

86

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About points in the circle of sphere surface

Published on 03 Jun 2020 - 16:29

48

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Can I use $V-E+F=k$ when dealing with spheres and great circles?

Published on 06 Jun 2020 - 16:52

135

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Modification of Law of Cosines

Published on 10 Jun 2020 - 11:44

73

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Inconsistency in formula for shortest distance between two points on a sphere.

Published on 18 Jun 2020 - 5:55

List Question

How would we perceive space from within the hypersphere $S^3$?

$\min_v {\frac{u^Tv}{\|u\|_2\|v\|_2}}$ subject to $v_i\geq 0,\forall i$ with fixed vector $u\in R^n_+$?

Four Orthogonal Circles on a Sphere

Is it easy to see that $S^2\times S^1$ does not admit Euclidean, Hyperbolic or Elliptic geometry?

Green's theorem (integration by parts) on the unit sphere

Reconstruct a sphere from 6 patches

Fun thing to think about: Parametrize a sphere from the outside

Given a matrix nxd, what is the radius of its hypersphere?

Find the rate at which distances decrease in stereographic projection

A geodesic on a unit sphere

Two great circles intersect at two antipodal points (Spherical Geometry)

About points in the circle of sphere surface

Can I use $V-E+F=k$ when dealing with spheres and great circles?

Modification of Law of Cosines

Inconsistency in formula for shortest distance between two points on a sphere.

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