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/sci/ - Science & Math

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>> No.11718989 [View]
File: 119 KB, 850x804, A-rubber-disc-being-wrapped-around-a-marble-2-sphere-with-the-boundary-of-the-disc.png [View same] [iqdb] [saucenao] [google]
11718989

>>11718546
a circle can be realized as [0,1] with endpoints glued together
a 2-sphere can be realized as the unit 2-disc with its boundary circle collapsed to a point (picture)
a 3-sphere can be realized as the unit 3-disc with its boundary collapsed to a point

you can picture 3-torus as a cube where passing through the boundary moves you to the opposite side.
3-sphere is similar, but you can walk through the boundary and appear anywhere on the boundary you like. because the whole boundary is a single point now.

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