What is "superellipsoid"

n. (context algebra geometry English) A closed surface, of which the sphere and ellipsoid are special cases, whose parametric equation is x =

1. cos^2/rt, y =

2. cos^2/rt, z =

3. cos^2/rt.

In mathematics, a super-ellipsoid or superellipsoid is a solid whose horizontal sections are super-ellipses (Lamé curves) with the same exponent r, and whose vertical sections through the center are super-ellipses with the same exponent t.

Super-ellipsoids as computer graphics primitives were popularized by Alan H. Barr (who used the name "superquadrics" to refer to both superellipsoids and supertoroids). However, while some super-ellipsoids are superquadrics, neither family is contained in the other.

Piet Hein's supereggs are special cases of super-ellipsoids.