- #1

Spinnor

Gold Member

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## Main Question or Discussion Point

Take two three-dimensional balls, superimpose them, and identify their outer surfaces. This is a "standard" representation of S^3?

Clearly the common outer surface divides the two halves of S^3 into two separate volumes?

In a similar manner can the surface of a torus divide S^3 into two separate volumes? and the ratio of those two volumes being any number we please?

Thank you for any help.

Clearly the common outer surface divides the two halves of S^3 into two separate volumes?

In a similar manner can the surface of a torus divide S^3 into two separate volumes? and the ratio of those two volumes being any number we please?

Thank you for any help.