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Superellipsoids
A superellipse is an ellipse with powers $n$ other than $2$:
$
\left(\frac{\textstyle x}{\textstyle a}\right)^{n}+
\left(\frac{\textstyle y}{\textstyle b}\right)^{n}-1
=0
$
(Source: Wikipedia)
By rotating a superellipse around the $y$-axis we obtain a superellipsoid.
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vesely apr-2007
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