How to make a sphere-ish shape with triangle faces? I want to make an origami of a sphere, so I planned to print some net of a pentakis icosahedron, but I have a image of another sphere with more polygons:

I would like to find the net of such model (I know it will be very fun to cut).
Do you know if it has a name ?

This whitepaper on Geodesic Math may be helpful.
Probably less helpful is this Ruby Quiz I hosted on writing a program to calculate Geodesic spheres.
