Hippopede of Proclus

Hippopede of Proclus
Field: Topology
Image Created By: Adam Coffman
Website: Adam Coffman --- Lemniscates

Hippopede of Proclus

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...

A More Mathematical Explanation

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Consider a torus, $T$, as a surface of revolution, generated by a circle [...]

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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."

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About the Creator of this Image

Adam Coffman is an Associate Professor of Mathematics in the Department of Mathematical Sciences at Indiana University - Purdue University Fort Wayne.

Related Links

Additional Resources

• Hippopede from Wikipedia
• Hippopede from Wolfram MathWorld

Other Materials By Adam Coffman

• http://www.ipfw.edu/math/Coffman

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