Wiktionary
hyperellipse
n. 1 (context geometry English) A superellipse: a curve in two dimensions of a certain type, a generalization of the ellipse. 2 (context geometry English) ''Specifically'', a superellipse with an exponent (shape parameter) greater than that of the ellipse (two). 3 (context geometry English) A multi-dimensional manifold of a certain type, a generalization of the ellipse and ellipsoid.