On the Self-Mobility of Point-Symmetric Hexapods

In this article, we study necessary and sufficient conditions for the self-mobility of point symmetric hexapods (PSHs). Specifically, we investigate orthogonal PSHs and equiform PSHs. For the latter ones, we can show that they can have non-translational self-motions only if they are architecturally...

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Bibliographic Details
Main Author: Georg Nawratil
Format: Article
Language:English
Published: MDPI AG 2014-11-01
Series:Symmetry
Subjects:
Online Access:http://www.mdpi.com/2073-8994/6/4/954
Description
Summary:In this article, we study necessary and sufficient conditions for the self-mobility of point symmetric hexapods (PSHs). Specifically, we investigate orthogonal PSHs and equiform PSHs. For the latter ones, we can show that they can have non-translational self-motions only if they are architecturally singular or congruent. In the case of congruency, we are even able to classify all types of existing self-motions. Finally, we determine a new set of PSHs, which have so-called generalized Dietmaier self-motions. We close the paper with some comments on the self-mobility of hexapods with global/local symmetries.
ISSN:2073-8994