There are 59 stellations of the icosahedron. These pages contain various images of these stellations and some background information.
This information is an excerpt of an article published in Mathematica in Education [Maeder94b]. An expanded version appears in Chapter 10 of R. Maeder's book The Mathematica Programmer II.
The metric properties and graphics data were computed with a Mathematica program, developed by R. Maeder.
The ray-traced images on these pages were rendered with POV-ray, from data computed with the program mentioned above, using a conversion program from Mathematica graphics format to POV-ray input.
The Mathematica programs to compute and render the polyhedra are included on the CD-ROM that comes with The Mathematica Programmer II. The book contains also high-resolution color images of all stellated icosahedra. Follow the link to the book's home page for more information and direct ordering in association with amazon.com.
The images on these pages have been ordered by increasing circumradius. This ordering is different from the ordering used in [Coxeter82] or the ordering used in our program. The number used in the program is listed on the pages of the individual solids. An index sorted by old numbers is available here.
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© Copyright 1995, 1998 by Roman E. Maeder. All rights reserved.