Icosidodecahedron

Author

Description

The icosidodecahedron is one of the thirteen Archimedean solids.

The icosidodecahedron has 30 vertices, 32 faces and 60 edges. It is generated by truncating the vertices of a icosahedron or of a dodecahedron at 1/2 edge-length. The icosidodecahedron is a semiregular polyhedron. Here the distance from vertex to center point is scaled to 1; the edge-length is (sqrt(5)-1)/2.

The coordinates of the icosidodecahedron where computed with polymake. First a dodecahedron was computed, which had the distance sqrt(50+10sqr(5))/10 from pentagon mid-points to center; this dodecahedron was cut by the inequalities of planes containing the point (0,0,0) with normals parallel to the axes and those with normals parallel to diagonals in space of an axis-parallel cube. The intersection points of this planes with the edges of the dodecahedron are the vertices of the icosidodecahedron.

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: icosidodecahedron_Master.jvx
• Applet File: icosidodecahedron_Master.jvx
• Preview: icosidodecahedron_Preview.gif
• Original File (private file format): icosidodecahedron_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/