first post here, I'm a Tikz starter. I'm currently preparing a presentation, and I'd like to be able to draw colored spheres, like in page 5 of this article.
Basically, I have to color a sphere by dividing it into three equal pieces (along the meridians), except for two antipodal tips of the sphere (see figure for a better explanation), that I draw differently.
Understanding how to describe this coloration through a function of polar angles is straightforward enough, just some basic algebra. Basically, I'd define a function of the polar angles that is defined piecewise (no smooth fading of a color into another, let's keep it simple) and use it to color the sphere.
I've searched in the documentation about how to implement this, but so far no luck, so I've come to ask you.
Next, I'd like to draw graphics like in page 15 of this other article, by drawing many balls with different orientations.
It would be very useful to then have a function that draws a colored sphere at a given center, that also takes some angles as input for rotating it.