n-sphere ( $S^{n}$ )

Table of contents

Antipodal point

Diameter

Radius

Circle ( $S^{1}$ , 1-sphere)

Squaring the circle

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

Does not require straight line cuts.

Sphere ( $S^{2}$ , 2-sphere)

Great circle

3-sphere ( $S^{3}$ )

Diffeomorphic to

S U (2)

.

 Ancestors (4)

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