Alex, this is so sensitively done, and is imbued with a sense of the sitter's intelligence. The geometric forms, though beautiful and purposeful, must have been a pain in the posterior-o-hedron to render, if you get my drift. Very diligent of you.
The icosohedron reminds me a little of the Hoberman Sphere. Then again, I am so mathematically challenged, I wouldn't know isoscoles from Sophocles.