**
Journal for Geometry and Graphics, Vol. 4, No. 2, pp. 159-167 (2000)
**

#
Flexible Cross-Polytopes in the Euclidean 4-Space

##
Hellmuth Stachel

Institute of Geometry, Vienna University of Technology

Wiedner Hauptstr. 8-10/113, A-1040 Wien, Austria

email: stachel@geometrie.tuwien.ac.at

**Abstract:** It is shown that the examples presented 1998 by A. Walz are special cases of a more general class of flexible cross-polytopes in $E^4$. The proof is given by means of 4D descriptive geometry. Further, a parameterization of the one-parameter self-motions of Walz's polytopes is presented.

**Keywords:** Flexibility, polyhedra, 4D geometry

**Classification (MSC2000):** 52C25; 51N05, 53A17

**Full text of the article:**

[Previous Article] [Next Article] [Contents of this Number]

*
© 2002 ELibM for
the EMIS Electronic Edition
*