List questions from spheres

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Formula relating the volume of a unit $n$-ball and surface area of a unit $n-1$-sphere when $n = 1$

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164

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(Edited + Example) Derive the formula for finding the center of the sphere and radius, if the coordinates of arbitrary the point are known

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Isometry group of $3$-sphere

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Atlas for sphere

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How can I show that the elements of the unitary sphere are not parallel?

Published on 07 Nov 2019 - 5:50

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Finding the spherical coordinates for the edge obtained by cutting a sphere with a plane

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Where did I go wrong: Geodesic distance of spheres

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Can 3d rotations of functions with parity symmetry be mapped to a plane with real projective plane boundary conditions

Published on 12 Nov 2019 - 18:02

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Fundamental group of $\mathbb{S^n}$ for $n \ge 2$

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Extending "mean of circular quantities" to a sphere of 3 or more dimensions

Published on 25 Mar 2026 - 12:34

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Orientation preserving maps and volume forms.

Published on 25 Mar 2026 - 15:57

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parametrizing set $S(0,R) \times [-a,a]$

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Volume cut off from the sphere by the cone using cylindrical polar coordinates

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Solvable equation for angle between points on a sphere?

Formula relating the volume of a unit $n$-ball and surface area of a unit $n-1$-sphere when $n = 1$

(Edited + Example) Derive the formula for finding the center of the sphere and radius, if the coordinates of arbitrary the point are known

Isometry group of $3$-sphere

Atlas for sphere

Reverse Haversine to find point

How can I show that the elements of the unitary sphere are not parallel?

Finding the spherical coordinates for the edge obtained by cutting a sphere with a plane

Where did I go wrong: Geodesic distance of spheres

Can 3d rotations of functions with parity symmetry be mapped to a plane with real projective plane boundary conditions

Fundamental group of $\mathbb{S^n}$ for $n \ge 2$

Extending "mean of circular quantities" to a sphere of 3 or more dimensions

Orientation preserving maps and volume forms.

parametrizing set $S(0,R) \times [-a,a]$

Volume cut off from the sphere by the cone using cylindrical polar coordinates

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