Soccer Ball

Author

Description

The truncated icosahedron is one of the thirteen Archimedean solids.

The truncated icosahedron has 60 vertices, 32 faces and 90 edges. It is generated by truncating the vertices of a icosahedron at 1/3 edge-length. Here the distance from vertex to center point is scaled to 1.

The coordinates of the truncated icosahedron where computed with polymake. The planes with normals showing to the icosahedron vertices with distance sqrt((445+16sqrt(5))/545) and the planes with normals showing to the dodecahedron with distance sqrt((51+18sqrt(5))/109) to the center point where intersected, the 60 intersection points are the vertices of the truncated icosahedron.

Model produced with: JavaView 2.00.005

References

1. H. S. M. Coxeter: Regular Polytopes, Collier-Macmillan Ltd. London (1963).
2. Magnus J. Wenniger: Polyhedron Models, Cambridge University Press (1970).
3. Alan Holden: Shape, Space and Symmetry, Columbia University Press New York/London (1971).
4. Michael Joswig, Ewgenij Gawrilow: Polymake, http://www.math.tu-berlin.de/diskregeom/polymake/doc/.
5. Konrad Polthier and Samy Khadem and Eike Preuss and Ulrich Reitebuch: JavaView Home Page, http://www.javaview.de/.

Files

• Master File: soccerball_Master.jvx
• Applet File: soccerball_Master.jvx
• Preview: soccerball_Preview.gif
• Original File (private file format): soccerball_Original.poly

Submission information

Submitted: Fri Sep 1 16:24:12 MET 2000.
Accepted: Thu Oct 25 14:19:08 MDT 2001.

Author's Address

Technische Universität Berlin
Fachbereich Mathematik, MA 8-5
Straße des 17. Juni 136
D-10623 Berlin, Germany
fuli@sfb288.math.tu-berlin.de
http://www-sfb288.math.tu-berlin.de/~fuli/