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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

Contributed by: Michael Trott

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Elliptical Spheres