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Cross-ratios of quadrilateral linkages

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khimshiashvili_siersma.pdf (965.96 KB)

Publication date

2015

Authors

Khimshiashvili, Giorgi
Siersma, DirkISNI 0000000116400912

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DOI

https://doi.org/10.5427/jsing.2015.13h

Document Type

Article

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Utrecht University Repository
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Abstract

We discuss the cross-ratio map of planar quadrilateral linkages, also in the case when one of the links is telescopic. Most of our results are valid for a planar quadrilateral linkage with generic lengths of the sides. In particular, we describe the image of cross-ratio map for quadrilateral linkage and planar robot 3-arm.

Keywords

Cross-ratio, Moduli space, Quadrilateral linkage, Robot 3-arm, Taverne, Applied Mathematics, Geometry and Topology

Citation

Khimshiashvili, G & Siersma, D 2015, 'Cross-ratios of quadrilateral linkages', Journal of Singularities, vol. 13, pp. 159-168. https://doi.org/10.5427/jsing.2015.13h

URI

http://hdl.handle.net/1874/323600