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🌀 Hopf Fibration: Linked Circles on Nested Tori (2D)

Interactive 2D Hopf fibration: stereographic projection of the fibres of S^3 into R^3, nested Villarceau tori, linking number and 4D rotations, with numerical checks.

Mathematics2DAdvanced60 FPS📱 Mobile-adapted⇄ 3D version

⚙ Under the hood

Hopf fibration in 2D canvas views: fibres of S^3 stereographically projected to linked circles, nested Villarceau tori, Gauss linking number and 4D rotation, with three numerical checks.

Hopf FibrationTopologyStereographic ProjectionLinking NumberS^3

2D · HTML5 Canvas 2D · 60 FPS target · runs fully client-side, no install