The Klein Bottle is a surface on which you can move from outside to inside without crossing an edge. This shows that inside and outside are not universal concepts.
In this movie Klein's Bottle is constructed by gluing an rectangle along the edges. Then the bottle is cut up again to yield a Moebius-strip.
This Video was produces for a topology seminar at the Leibniz Universitaet Hannover.
7 years ago.
More Mathematics Videos
Infinite Possibilities: Archimedes on the Web (2008)
Calculus: General Limit Rule
Calculus: Second Derivative Test for Local Extrema
Early Mathematics: A Short Introduction - Professor Robin Wilson (2011)
The Klein Bottle
What Mathematicians Actually Do, with John Franks