Some properties of Jitterbug-like polyhedral linkages

Abstract

A formal definition for Jitterbug-like polyhedral linkages is presented. It is shown that the supporting polyhedral shapes cannot be arbitrary and some topological properties are derived. Also it is demonstrated that the link lengths of the spatial loops comprising the linkage cannot be arbitrary. The spherical indicatrices of spatial loops are examined and are shown to be immobile. © Springer Science+Business Media B.V. 2010.