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Outline
Visualization of the Hopf fibration
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
Visualization of the Hopf fibration
Author:
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
Next
Point on a 3-sphere
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