A curve of the form

where . ``The'' superellipse is sometimes taken as the curve of the above form with . Superellipses with are also known as Lamé Curves. The above curves are for , , and , 3.0, and 3.5.

A degenerate superellipse is a superellipse with . The above curves are for , , and , 1.0, 1.5, and 2.0.

**References**

Gardner, M. ``Piet Hein's Superellipse.'' Ch. 18 in *Mathematical Carnival: A New Round-Up of Tantalizers and Puzzles from Scientific American.*
New York: Vintage, 1977.

© 1996-9

1999-05-26