Superellipsoid -- from Wolfram MathWorld
The superellipsoid is a generalization of the ellipsoid by allowing different exponents of the variables in the algebraic representation. It is similarly a generalization of the superellipse to three dimensions. The version called the superquadratic ellipsoid is defined by the equation (|x|^(2/e)+|y|^(2/e))^(e/n)+|z|^(2/n)=1, where e and n are the east-west and north-south exponents, respectively. This superellipsoid can be rendered in POVRay® with the command superellipsoid{...
