Next Article in Journal
Brain Activity in Response to Visual Symmetry
Next Article in Special Issue
Flexible Polyhedral Surfaces with Two Flat Poses
Previous Article in Journal
Design of a Secure System Considering Quality of Service
Previous Article in Special Issue
Symmetry Adapted Assur Decompositions
 
 
Article

On the Self-Mobility of Point-Symmetric Hexapods

Institute of Discrete Mathematics and Geometry, Vienna University of Technology, Wiedner Hauptstrasse 8-10/104, Vienna 1040, Austria
Symmetry 2014, 6(4), 954-974; https://doi.org/10.3390/sym6040954
Received: 3 October 2014 / Revised: 27 October 2014 / Accepted: 6 November 2014 / Published: 18 November 2014
(This article belongs to the Special Issue Rigidity and Symmetry)
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. View Full-Text
Keywords: hexapod; self-motion; bond theory; Borel–Bricard problem hexapod; self-motion; bond theory; Borel–Bricard problem
Show Figures

MDPI and ACS Style

Nawratil, G. On the Self-Mobility of Point-Symmetric Hexapods. Symmetry 2014, 6, 954-974. https://doi.org/10.3390/sym6040954

AMA Style

Nawratil G. On the Self-Mobility of Point-Symmetric Hexapods. Symmetry. 2014; 6(4):954-974. https://doi.org/10.3390/sym6040954

Chicago/Turabian Style

Nawratil, Georg. 2014. "On the Self-Mobility of Point-Symmetric Hexapods" Symmetry 6, no. 4: 954-974. https://doi.org/10.3390/sym6040954

Find Other Styles

Article Access Map by Country/Region

1
Only visits after 24 November 2015 are recorded.
Back to TopTop