Icosahedron EG-Models Home

image icosahedron_Preview.gif
Electronic Geometry Model No. 2000.09.008

Author

Ulrich Reitebuch

Description

The icosahedron is one of the five Platonic solids.

The icosahedron has 12 vertices, 20 faces and 30 edges, the dual solid is the dodecahedron. Six of the edges are laying parallel to the coordinate axes.Here the distance from vertex to center point is scaled to 1. Thus every vertex has one coordinate 0 , one coordinate with the absolute value sqrt(50-10sqrt(5))/10 and one coordinate with the absolute value sqrt(50+10sqrt(5))/10 ; the edge-length is sqrt(50-10sqrt(5))/5.

Model produced with: JavaView 2.00.005

Keywords icosahedron; Platonic solid; regular polyhedron
MSC-2000 Classification 51M20
Zentralblatt No. 01683012

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, Samy Khadem, Eike Preuss, Ulrich Reitebuch: JavaView Home Page, http://www.javaview.de/.

Files

Submission information

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

Author's Address

Ulrich Reitebuch
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/