Yikes, those are some pointy puzzles xD. Good work on all of them.
The First Stellation Of Icosidodecahedron based on a Dogic,
The first stellation of the icosidodecahedron is the icosahedron/dodecahedron compound (which you have made before). The shape you have made here is not a stellation of an icosidodecahedron... but you can call it another Cumulated Icosidodecahedron.
Some of the stellations of the icosidodecahedron (certainly far from all, as there are over 400 of them) are pictured here: http://en.wikipedia.org/wiki/List_of_We ... decahedron