The hypersphere can be decomposed into two solid toripic.twitter.com/zZMeEiWCH0
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So if you watched that video "the shape of space" which specifically covers what it's like "inside" tori and mobius strips (and 4D analogs to them) I am now wondering what is like "inside" the surface of a tesseract? The movie Interstellar did this, inaccurately I think
The surface of tesseract is homeomorphic to a hypersphere. In the same way the cube is homeomorphic to an ordinary sphere. Their geometry is different, though, so it will look different.
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Yeah! The same way that the cube is made up of truncated planes whereas the sphere is positive Gaussian curvature verywhere!
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typo - meant "everywhere" not "verywhere" lol
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