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Villarceau Circles

It is obvious that every point on a torus is contained in two circles that lie on the torus. Less obvious is the fact that every such point is contained in two additional circles, called the Villarceau circles.

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This code is taken from S. Wagon, Mathematica in Action, 3rd ed., forthcoming from Springer-Verlag.

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"Villarceau Circles" from the Wolfram Demonstrations Project
 http://demonstrations.wolfram.com/VillarceauCircles/
Contributed by: Stan Wagon (Macalester College)
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Related Curriculum Standards

Common Core State Standards for Mathematics
 
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