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n-sphere (Sn)

Ciro Santilli (@cirosantilli, 37) Mathematics Area of mathematics Geometry
Updated 2025-07-16  0 By others on same topic  0 Discussions Create my own version
  • Table of contents
    • Antipodal point n-sphere
    • Diameter n-sphere
      • Radius Diameter
    • Circle n-sphere
      • Squaring the circle Circle
      • Tarski's circle-squaring problem Circle
    • Sphere n-sphere
      • Great circle Sphere
    • 3-sphere n-sphere

Antipodal point

 1  0
n-sphere

Diameter

 1  0
n-sphere

Radius

 0  0
Diameter

Circle (S1, 1-sphere)

 1  0
n-sphere

Squaring the circle

 1  0
Circle

Tarski's circle-squaring problem (Cut a circle into square)

 1  0
Circle
Does not require straight line cuts.

Sphere (S2, 2-sphere)

 1  0
n-sphere

Great circle

 1  0
Sphere

3-sphere (S3)

 1  0
n-sphere
Diffeomorphic to SU(2).

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