# Villarceau Circles

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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.

Contributed by: Stan Wagon (Macalester College) (March 2011)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

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

## Permanent Citation

"Villarceau Circles"

http://demonstrations.wolfram.com/VillarceauCircles/

Wolfram Demonstrations Project

Published: March 7 2011