Alternative sphere
Parametrization of a sphere. From a question about the
'Parametric equation of a cone' on math.stackexchange
$f(u, v) = (x, y, z)^T$ with
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$x = a \sin(u \arctan(\frac{v}{u})) \sin(v \arctan(\frac{v}{u}))$
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$y = b \sin(u \arctan(\frac{v}{u})) \cos(v \arctan(\frac{v}{u}))$
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$z = c \cos(u \arctan(\frac{v}{u}))$
where $a$, $b$ and $c$ are scaling factors, $-5 \le u \le 5$ and $-5 \le v \le 5$.
5
5
5
50
1
10
true
true
false
false
false
false