The truncated dodecahedron is one of the thirteen Archimedean solids.

The truncated dodecahedron has 60 vertices, 32 faces and 90 edges.
It is generated by truncating the vertices of a dodecahedron such, that the faces of
the dodecahedron are cut to regular dakagons. Here the distance from vertex to
center point is scaled to 1; the edge-length is
`2sqrt((37-15sqrt(5))/122)`

.

The coordinates of the truncated dodecahedron where computed with polymake.
The planes with normals showing to the icosahedron vertices with distance
`sqrt((25+8sqrt(5))/61)`

and the planes with normals showing to the dodecahedron with distance `sqrt((109+30sqrt(5))/183)`

to the center point where intersected, the 60 intersection points are the vertices of the
truncated dodecahedron.

Model produced with: JavaView 2.00.005

Keywords
| truncated dodecahedron; Archimedean solid; polyhedron | |

MSC-2000 Classification
| 51M20 | |

Zentralblatt No.
| 01683025 |

- 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: truncateddodecahedron_Master.jvx
- Applet File: truncateddodecahedron_Master.jvx
- Preview: truncateddodecahedron_Preview.gif
- Original File (private file format): truncateddodecahedron_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/