Tangent images to icosahedron face

Question

I would like to plot images in a tangent plane to each face of an icosahedron. Something like in the image.

I have tried several approaches like:

Tikz : texture cube faces using png image

and example code from page 169 of pst-solides3d documentation

But the former is not an easy extrapolation to an icosahedron (at least for myself) and the latter uses eps images and I can't get around converting the images into the right format. It is like png2eps conversion produces images shifted when added to the faces.

Any idea?