## Superellipse

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.

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.