The Hopf map is a special transformation invented by Heinz Hopf that maps to each point on the ordinary 3D sphere from a unique circle of points on the 4D sphere. Taken together, these circles form a fiber bundle called a Hopf Fibration.
I'm a former design engineer for Space Dynamics Laboratory and ATK Launch Systems. I specialize in Finite Element Analysis and work closely with the Monolithic Dome Institute. Contact me if you need Finite Element work done.