Hippopede of Proclus

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Hippopede of Proclus
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Field: Topology
Author: Adam Coffman
Website: Adam Coffman --- Lemniscates

Hippopede of Proclus, by Adam Coffman
Found at Adam Coffman --- Lemniscates
Field: Topology

Further Description and Explanation

Consider a torus, T, as a surface of revolution, generated by a circle with radius r > 0, and with center at distance R > 0 from the axis. R is the major radius of T, and r is the minor radius. Intersecting the torus T with a plane parallel to its axis gives a plane curve, called a "spiric section of Perseus." In the special case where this intersecting plane is at distance |R - r| from the axis, so it is also a tangent plane, the curve is called a "hippopede of Proclus."

About the Author

Category:Adam Coffman

Other Topology Images

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Related Links

Additional Topology Resources

Other Materials By Adam Coffman