Interesting challenge, bj. It is a stellated Icosahedron with retracted points.
This is the "cubic' equivalent: 6 paired triangles and 8 "corners".
Yes, you can assembly this and if you add a mechanism feature that will form the stellations dynamically, it would be nice. Unfortunately, mechanism animations for not regenerate values during processing. Since the faces will change size, simple animations will not follow the geometry changes required. Not in Creo Parametric, anyway.
