3
$\begingroup$

I'm trying to parameterize a sphere so it has 6 faces of equal area, like this:

correct parameterization

But this is the closest I can get (simply jumping $\frac{\pi}{2}$ in $\phi$ azimuth angle for each "slice").

closest i can get

I can't seem to get the $\theta$ elevation parameter correct. Help!

5 Answers 5