# A Model for Robotic Hand Based on Fibonacci Sequence

### Anna Chiara Lai, Paola Loreti, Pierluigi Vellucci

#### Abstract

We study a robot hand model involving Fibonacci sequence. Fingers are modeled via hyper-redundant planar manipulators. Binary controls rule the dynamics of the hand, in particular the extension and the rotation of each phalanx. By estabilishing a relation with Iterated Function Systems, we investigate the reachable workspace and its convex hull. Finally, we give an explicit characterization of the convex hull of the reachable workspace in a particular case.

#### References

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#### Paper Citation

#### in Harvard Style

Lai A., Loreti P. and Vellucci P. (2014). **A Model for Robotic Hand Based on Fibonacci Sequence** . In *Proceedings of the 11th International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO,* ISBN 978-989-758-040-6, pages 577-584. DOI: 10.5220/0005115205770584

#### in Bibtex Style

@conference{icinco14,

author={Anna Chiara Lai and Paola Loreti and Pierluigi Vellucci},

title={A Model for Robotic Hand Based on Fibonacci Sequence},

booktitle={Proceedings of the 11th International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO,},

year={2014},

pages={577-584},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0005115205770584},

isbn={978-989-758-040-6},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the 11th International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO,

TI - A Model for Robotic Hand Based on Fibonacci Sequence

SN - 978-989-758-040-6

AU - Lai A.

AU - Loreti P.

AU - Vellucci P.

PY - 2014

SP - 577

EP - 584

DO - 10.5220/0005115205770584