Original scientific paper

On the Tetrahedra in the Dodecahedron

Hellmuth Stachel ; Vienna University of Technology, Vienna, Austria

Abstract

The 60 edges of the ten tetrahedra inscribed in a regular pentagon-dodecahedron form the so-called Gr"unbaum framework. It is already known that this structure is flexible. There are one-parameter motions which preserve the symmetry with respect either to a face axis or to a vertex axis. The paper treats analytical representations of these motions. Furthermore it is proved that both motions can blend into two-parametric motions which do not preserve any symmetry.

Keywords

Hrčak ID:

166478

URI

https://hrcak.srce.hr/166478

Publication date:

25.1.2000.

Article data in other languages: croatian

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