Publication at Faculty of Education |
2019
Abstract
A point on a 2-sphere embedded in a 3-space corresponds to a circle - fiber on a 3-sphere in a 4-space. This mapping is called the Hopf fibration, and we give its elementary synthetic construction in the double orthogonal projection of the 4-space onto two mutually perpendicular 3-spaces and also a stereographic projection of the fibers that form a family of tori.
Moreover, we touch a visualization of points of the complex plane.