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The Stellated Icosahedra
Author

Roman Maeder
Organization: Wolfram Research, Inc.
Department: Kernel Technology
Old MathSource #

0206-042
Revision date

2000-01-20
Description

The enumeration of all stellations of the icosahedron was accomplished in 1938. The geometric constructions and combinatorial algorithms used can easily be programmed in Mathematica. Its symbolic and graphic capabilities make it well suited to render the solids in a variety of formats. Icosahedra.m is a package for rendering all 59 stellations of the icosahedron. Some examples for its use are in the notebook Icosahedra.nb.
Subjects

*Mathematica Technology > Programming > 3D Graphics
*Mathematics > Discrete Mathematics > Combinatorics
Keywords

3D Graphics 3D, stellated icosahedra, combinatorics, geometry, mathematica in education, shapes, solids, README.txt, Icosahedra.m, UniformExamples.m, Icoshedra.nb
Related items

*The Stellated Icosahedra   [in Articles]
Downloads Download Wolfram CDF Player

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README.txt (696 B) - Text file
Download
Icosahedra.m (11.4 KB) - Mathematica Package
Download
Icoshedra.nb (17.2 KB) - Mathematica Notebook

Files specific to Mathematica 2.2 version:
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Icoshedra.ma (10.4 KB) - Mathematica Notebook 2.2 or older