Here are enlargements of some of these polyhedra. We already met a few of them: the first stellation (#2), the compounds of five tetrahedra (#17), five octahedra (#3) and ten tetrahedra (#12), a dodecahedron excavated by 12 pentagonal pyramids (#22), then the great icosahedron (#47), the #18, the #13 is connected only by its vertices, the #33 is composed of separate pieces, and finally the complete icosahedron (final stellation #59).
To learn more about the stellations of the regular icosahedron, visit the site from where these pictures come.
Some examples with LiveGraphics3D are presented on an other page.
references: 
• The fifty nine icosahedra by H. S. M. Coxeter, Patrick du Val, H. T. Flather, and J. F. Petrie (SpringerVerlag, 1982)
• an applet with the fifty nine stellations (page by Paul Scott) • The 59 Stellated Icosahedra by David A. Fontaine • the 59 stellations of the icosahedron by Bob Allanson • VRML animations by George Hart 
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