X function is: a(cos(u))*cos(v)
Y function is: b(cos(u))*sin(v)
Z function is: c(sin(u))
U min: -Pi/2
U max: Pi/2
V min: -Pi
V max: Pi
a = Some number or function greater than 0
same for b and c function, or some constant n.
— tri-axial or (rarely) scalene ellipsoid;
— oblate ellipsoid of revolution (oblate spheroid);
— prolate ellipsoid of revolution (prolate spheroid);
— the degenerate case of a sphere;
In Apple Grapher I used this:
This took me all day to figure out. You got it in 2 secs. Use carefully with beer.
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