A superegg is a solid described by the equation
 |
(1)
|
The special case 
gives a spheroid.
Special cases of volume 
are given by
 |  |  |
(2)
|
 |  |  |
(3)
|
Superegg
See also
Capsule, Egg, Oblate Spheroid, Prolate Spheroid, Spheroid, Superellipse, Superellipsoid, SupersphereExplore with Wolfram|Alpha
References
Bourke, P. "Superellipse and Superellipsoid: A Geometric Primitive for Computer Aided Design." http://astronomy.swin.edu.au/~pbourke/surfaces/superellipse/.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, pp. 240-254, 1977.Vestergaard, E. "Piet Heins Superellipse." http://www.matematiksider.dk/piethein.html.Cite this as:
Weisstein, Eric W. "Superegg." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Superegg.html