Elliptical Spheres

Elliptical spheres are neither spheres nor elliptic. Elliptical spheres are complex vectors such that and , , are elliptic functions. A possible parametrization of these vectors is given through Neville theta functions as

, , , .

In this Demonstration, runs over part of the complex plane and and are complex parameters. The graphic displays variable relative fractions of the real and imaginary parts of , , and .