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Motion Traced on the Torus and Klein Bottle


	This Demonstration traces the motion of a figure on a square and maps the figure and its path to the surfaces of the torus and the Klein bottle using the standard equivalence relations.


	Contributed by: Kevin Sonnanburg Advised by: Nicholas Willis
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Equivalence Relation (Wolfram MathWorld)

Klein Bottle (Wolfram MathWorld)

Torus (Wolfram MathWorld)

"Motion Traced on the Torus and Klein Bottle" from The Wolfram Demonstrations Project
http://demonstrations.wolfram.com/MotionTracedOnTheTorusAndKleinBottle/

Contributed by: Kevin Sonnanburg

Advised by: Nicholas Willis

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