Abstract
Two overconstrained mechanisms are presented that both are related to regular polyhedra in the Euclidean 3-space. The first example, the HEUREKA-polyhedron, is a modification of BUCKMINSTER-FULLERS Jitterbug [1]. The spherical joints at the vertices of 8 regular triangles are replaced by particular cardan joints. A 15m high model of this polyhedron was exhibited at the national research exposition of Switzerland 1991 in Zurich. Further the GRUNBAUM-framework is discussed. Here the 10 regular tetrahedra inscribed to a regular pentagon-dodecahedron are linked together at the common vertices. This framework allows at least two types of constrained motions. The first was found by R. Connelly [2]. These motions preserve the fivefold symmetry with respect to any face axis. Motions of the two second type preserve the symmetry with respect to any vertex axis.
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