Hopf Fibered Linked Tori

hopf fibered linked tor 001
Hopf Fibered Linked Tori

Just as R^3 can be filled by parallel lines, so S^3 can be filled by great circles which are the orbits of a rotation. Some of these circles are collected as tori and stereographically projected into our world.

hopf linked tori wireframe
Any two circles in this image are linked. (red/blue stereo wireframe)