Doubly Hopf fibred tori. The Hopf fibration (also known as the Hopf bundle or Hopf map) describes a 3-sphere (a hypersphere in four-dimensional space) in terms of circles and an ordinary sphere. Discovered by Heinz Hopf in 1931,it is an influential early example of a fiber bundle. Technically,Hopf found a many-to-one continuous function (or "map") from the 3-sphere onto the 2-sphere such that each distinct point of the 2-sphere comes from a distinct circle of the 3-sphere (Hopf 1931). Thus the 3-sphere is composed of fibers,where each fiber is a circle â€" one for each point of the 2-sphere | |
Licence : | Droits gérés |
Crédit: | Science Photo Library / Pasieka |
Taille de l’image : | 4500 px × 4500 px |
Model Release : | Non requis |
Property Release : | Non requis |
Restrictions : | - |