There are 59 stellations of the icosahedron.
These pages contain various images of these stellations and some
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.
About the Images on These Pages
The metric properties and graphics data were computed with a
developed by R. Maeder.
The ray-traced images on these pages were rendered with
from data computed with the program mentioned above,
using a conversion program
from Mathematica graphics format to
Programs and Images are Available!
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.
Guide to the Images
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.
- The guided tour of all 59 stellations starts here.
- A visual index (clickable map) of all 59 stellations
- Floor plans
(clickable map) of all 59 stellations
You may also want to have
a look at the collection of all uniform polyhedra.