Cutting a surface
This interactive animation explores a topological property that characterizes the sphere (as well as a plane and a cylinder) among other surfaces, such as the torus and the Moebius strip: we can cut these other surfaces along a closed curve without dividing them in two parts.
You can see also the interactive animation Paths without crossings, where you will find a problem in which this property plays an important part.
The animation is in the CD matemilano.
© matematita
animazione di Gian Marco Todesco
The image belongs to the sections...:
The Moebius strip (Topology)
Jordan's theorem and the three houses problem (Topology)
The torus (Topology)
The sphere (Topology)
Topology (Animations)
Further information:
http://matemilano.mat.unimi.it/
