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Hopf fibration: Two tori

#gif #geometry #topology #torus #circle #3-sphere #sphere #4-dimensional #processing #spagety

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Square × Octagon

#square #octagon #torus #abstract #processing #procedural #4-dimensional #geometry #gif #animation #spagety

Two circles in the 2-sphere pull back to two tori in the 3-sphere via the Hopf fibration. When stereographically projected onto Euclidean 3-space, they appear to be nested or linked, depending on their orientation.

#torus #sphere #4-dimensional #topology #geometry #mathematics #maths #math #animation #3-sphere #hopf #spagety #procedural #abstract #processing

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