Messing around on ToonDoo again today. What do an engineer, a physicist, a mathematician and a statistician do when faced with a fire in the office trash can?
“The strange and beautiful tie of the rules of mathematics and physics, to the organic wonder and growth of life and nature. “
The Art of Stephanie Pui-Mun Law
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.
A short film depicting the beauty of Moebius Transformations in mathematics. The movie shows how moving to a higher dimension can make the transformations easier to understand.
The full version is available at http://www.ima.umn.edu/~arnold/moebius/
The background music (from Schumann’s Kinderszenen, Op. 15, I) is performed by Donald Betts and available at http://www.musopen.com.