HOPF FIBRATION
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Villarceau Circle
FIBER DESCRIPTION
A diagonal slice through the Clifford torus reveals a Villarceau circle — a circle passing through the torus at an angle.
TOPOLOGY
Villarceau circles are the fibers themselves — the Hopf fibration slices every torus diagonally.
S³ → S² with fiber S¹ · π₃(S²) = ℤ · rotates daily