Hopf fibration
Hopf fibration
Fiber bundle of the 3-sphere over the 2-sphere, with 1-spheres as fibers.
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First pulled by Frognus, Nov 4, 2026
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Readers' pathsAug 2026 – Oct 2026
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Villarceau circles
Intersection of a torus and a plane.
17%
Heinz Hopf
German mathematician (1894–1971).
8.5%
3-sphere
Mathematical object.
7.1%
Stereographic projection
Particular mapping that projects a sphere onto a plane.
4.5%
N-sphere
Generalized sphere of dimension n (mathematics).
3.5%
Differential topology
Branch of mathematics.
3.4%
Spin group
Double cover Lie group of the special orthogonal group.
2.5%
Homotopy groups of spheres
How spheres of various dimensions can wrap around each other.
2.5%
Magnetic monopole
Hypothetical particle with one magnetic pole.
2.4%
Principal bundle
Fiber bundle whose fibers are group torsors.
2.3%
Readers come from
Share of the 2,929 readers arriving from another article
Homotopy groups of spheres
How spheres of various dimensions can wrap around each other.
9.6%
Bloch sphere
Representation of a quantum mechanical system.
5%
3-sphere
Mathematical object.
4.8%
Hopfion
Topological soliton.
3.8%
Heinz Hopf
German mathematician (1894–1971).
3.4%
Clifford torus
Geometrical object in four-dimensional space.
3.4%
Villarceau circles
Intersection of a torus and a plane.
3%
Complex projective space
Mathematical concept.
2.1%
Riemann sphere
Model of the extended complex plane plus a point at infinity.
1.8%
Hopf link
Simplest nontrivial knot link.
1.3%