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Contenuti

  1. Visualization of the Hopf fibration
    1. Point on a 3-sphere
    2. Stereographic projection of a point
    3. Synthetic construction of a Hopf fiber (Step-by-step construction)
    4. Motion of the Hopf fiber
    5. Hopf fibers of points on a circle parallel to (x,y)-plane generating a flat torus.
    6. Hopf fibers of points on a circle parallel to z-axis generating a flat torus.
    7. Tori of two circles

Visualization of the Hopf fibration

Autore:Michal Zamboj

  • Point on a 3-sphere

  • Stereographic projection of a point

  • Synthetic construction of a Hopf fiber (Step-by-step construction)

  • Motion of the Hopf fiber

  • Hopf fibers of points on a circle parallel to (x,y)-plane generating a flat torus.

  • Hopf fibers of points on a circle parallel to z-axis generating a flat torus.

  • Tori of two circles

Successivo
Point on a 3-sphere

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