Steve Trettel · with Henry Segerman, Rémi Coulon, Sabetta Matsumoto

Code: Sph Hopf · 2020

Hopf fibers in $S^3$, showing the fibration of the 3-sphere by linked great circles

Raymarching in S3 showing the Hopf fibration, which decomposes S3 into a family of great circles (fibers) parametrized by S2. Each fiber is a geodesic circle in S3, and nearby fibers are linked. The visualization renders several fibers as tubes, illustrating the topological structure of this fundamental fibration. Controls: WASD to rotate, arrow keys to translate.

Steve Trettel · with Henry Segerman, Rémi Coulon, Sabetta Matsumoto
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