We study snapping and shaky polyhedra which consist of antiprismatic skeletons covered by polyhedral belts composed of triangular faces only. In detail, we generalize Wunderlich’s trisymmetric sandglass polyhedron in analogy to the generalization of the Jessen orthogonal icosahedron to Milka’s extreme birosette structures, with the additional feature that the belt is developable into the plane as the Kresling pattern. Within the resulting 2-dimensional family of origami-like sandglasses we study the 1-parametric sets of quasi-mechanisms which are either shaky or have an extremal snap, i.e. one realization is on the boundary of self-intersection. Moreover, we evaluate the capability of these snapping/shaky quasi-mechanisms to flex on base of the snappability index and the novel shakeability index, respectively.
On Origami-Like Quasi-mechanisms with an Antiprismatic Skeleton
Springer Proceedings in Advanced Robotics
International Symposium on Advances in Robot Kinematics ; 2022 ; Bilbao, Spain June 26, 2022 - June 30, 2022
2022-06-18
9 pages
Article/Chapter (Book)
Electronic Resource
English
On Origami-Like Quasi-mechanisms with an Antiprismatic Skeleton
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