hyperellipse

noun3

1. •
   A superellipse: a curve in two dimensions of a certain type, a generalization of the ellipse.

   • The hyperellipse is defined by (x/a)ⁿ + (y/b)ⁿ = 1 with b ≤ a, where n is the shape parameter and a and b are the axes along the x and y axes, respectively. — 2003
2. •
   Specifically, a superellipse with an exponent (shape parameter) greater than that of the ellipse (two).
3. •
   A multi-dimensional manifold of a certain type, a generalization of the ellipse and ellipsoid.