Buscar

Esquema

  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

Autor: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

Siguiente
Point on a 3-sphere

Nuevos recursos

  • Trefoil Knot
  • Average Distance
  • အခြေခံ data အခေါ်အဝေါ်များ
  • Untitled
  • Sketching Vector Function (1)

Descubrir recursos

  • Quadratic Factoring
  • Parker_Browne_Qr1project_01
  • transfunct
  • Dodecahedron net

Descubre temas

  • Ortocentro
  • Transformaciones Geométricas
  • Diagramas de árbol
  • Coseno
  • Trigonometría
InformaciónSociosCentro de ayuda
Condiciones del servicioPrivacidadLicencia
Calculadora gráficaSuite CalculadoraRecursos matemáticos

Descarga aquí nuestras aplicaciones:

Download_on_the_App_Store_Badge_US-UK_RGB_blk_4SVG_092917

© 2025 GeoGebra®