Cross-ratios of quadrilateral linkages

Giorgi Khimshiashvili; Dirk Siersma

doi:10.5427/jsing.2015.13h

Cross-ratios of quadrilateral linkages

Giorgi Khimshiashvili
, Dirk Siersma

Ilia State University (ISU)

Research output: Contribution to journal › Article › Academic › peer-review

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.

Original language	English
Pages (from-to)	159-168
Number of pages	10
Journal	Journal of Singularities
Volume	13
DOIs	https://doi.org/10.5427/jsing.2015.13h
Publication status	Published - 2015

Keywords

Cross-ratio
Moduli space
Quadrilateral linkage
Robot 3-arm

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10.5427/jsing.2015.13h

khimshiashvili-siersmaFinal published version, 966 KB

https://arxiv.org/pdf/1308.4007.pdf

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title = "Cross-ratios of quadrilateral linkages",

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.",

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AU - Siersma, Dirk

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AB - 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.

KW - Cross-ratio

KW - Moduli space

KW - Quadrilateral linkage

KW - Robot 3-arm

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DO - 10.5427/jsing.2015.13h

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Cross-ratios of quadrilateral linkages

Abstract

Keywords

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