A curve of the form
A degenerate superellipse is a superellipse with . The above curves are for , , and , 1.0, 1.5, and 2.0.
See also Ellipse, Lamé Curve, Superegg
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.