Mobius Strip Fun
Monday, October 17, 2005
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Wolfram Mobius World
Ants by M.C. Escher
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The mobius sculpture at the FermiLab in Illinois.
In geometry, we have moved onto further discussions of multi-dimensional space. We have been using this great book called "The Shape of Space : How to visualize surfaces and three-dimensional manifolds" by Jeffrey Weeks. Klein bottles and other lovely diagrams fill the pages. Q and her dad even read it like a bed time story some nights.
One easy and hands-on way to observing/manipulating dimensions is by making a mobius strip and then playing with it, cutting it and see what happens to it’s topology.
Here are a few sites that can be helpful in your experimentation with this sort of topology.
Mobius Strip sites:
Mobius in the playground
Mobius at Zoom.com
Georgia Tech Mobius site
BBC mobius article
Wolfram Mathematics Encyclopedia - VERY WORTH YOUR TIME TO VISIT HERE
Klein Bottles:
Wolfram MathWorld Klein Bottle
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