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Illustrations

Hopf Fibration

Family of rings decomposing the space

A black-and-white symmetric form made from nested curved bands and radial fiber-like lines converging around a central horizontal loop

A visualization of the Hopf fibration: S1↪S3→ p S2S^1\hookrightarrow S^3\xrightarrow {\ p\,} S^2, where we regard S3S^3 as the one-point compactification of R3\mathbb{R}^3.

This is inspired by Henry Segerman’s T-shirt design.

  • topology
  • Hopf fibration
  • geometry