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

Keywords
| icosidodecahedron; Archimedean solid; semiregular polyhedron | |

MSC-2000 Classification
| 51M20 | |

Zentralblatt No.
| 01683016 |

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

- Master File: icosidodecahedron_Master.jvx
- Applet File: icosidodecahedron_Master.jvx
- Preview: icosidodecahedron_Preview.gif
- Original File (private file format): icosidodecahedron_Original.poly

Submitted: Fri Sep 1 16:24:12 MET 2000.

Accepted: Thu Oct 25 14:19:08 MDT 2001.

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/