Now, it’s time to create the soccer.
The basic idea is to create an intermediate shape using hexagons rotated the right angle.
But, instead of using rotation, I prefer using mirroring, so I create the first shape with half the angle (20.905°), so when I will mirror, it will be equivalent of the 41.81° rotation.
Note also that I double the width of 3 sides of the first shape to get ultimately an even width, because 3 sides of the shape are mirrored side by side and 3 sides are let alone.
Then, subtract this shape to a sphere (so it does not suffer from projection’s distorsion) and add a slightly smaller sphere in order to set the heigh of the facets, and that’s it.
As always, it is way longer to figure out how to do it than the actual process itself, when you know what to do. I learnt a few things doing that, one of them being the reason of the 12 pentagons on a soccer.