Rhombitruncated Cube EG-Models Home

image rhombitruncatedcube_Preview.gif
Electronic Geometry Model No. 2000.09.015


Ulrich Reitebuch


The rhombitruncated cube is one of the thirteen Archimedean solids.

The rhombitruncated cube has 48 vertices, 26 faces and 72 edges. It is generated by truncating the vertices and edges of a cube or of an octahedron. Here the distance from vertex to center point is scaled to 1; the edge-length is 2sqrt((13-6sqrt(2))/97) . Every vertex has one coordinate with the absolute value sqrt((13-6sqrt(2))/97) , one coordinate with the absolute value sqrt((15+8sqrt(2))/97) and one coordinate with the absolute value sqrt((69-2sqrt(2))/97).

Model produced with: JavaView 2.00.005

Keywords rhombitruncated cube; Archimedean solid; polyhedron
MSC-2000 Classification 51M20
Zentralblatt No. 01683019


  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/.


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