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Questions on the movie Shape of Space

The following are discussion questions for the movie Shape of Space. Not all of them have precise mathematical answers -- do your best.

  1. How is the universe like an orbifold?

  2. What different orbifolds might correspond to the flatlanders' universe? Which of these appeared in the movie?

  3. How would you extend the concept of orbifold to describe possible shapes for the three dimensional universe we live in?

  4. Which orbifolds describe spaces where the flatlanders can meet themselves coming from another direction? I.e. under what circumstances can their spaceship have a colision with itself?

  5. What connections can you find between Shape of Space and Not Knot?

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Author: Heidi Burgiel
Comments to: webmaster@geom.umn.edu
Created: Dec 7 1995 --- Last modified: Tue Jun 11 09:03:32 1996
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