the fifty nine stellations of the regular icosahedron

59 stellations os the icosahedron

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).

10 stellations of the icosahedron

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 (Springer-Verlag, 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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convex polyhedra - non convex polyhedra - interesting polyhedra - related subjects May 1999
updated 07-04-2013