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.
12 years ago.
More Mathematics Videos
Vedic Mathematics: My Trip to India to Uncover the Truth - Alex Bellos (2011)
Marcus du Sautoy: Symmetry, reality's riddle (2009)
Calculus: General Limit Rule
The Poincare Conjecture
The MacPlatonic Solids: Mathematics in Neolithic Scotland (2011)
The Klein Bottle