Owen, John C. and Power, Stephen C. (2009) *Continuous curves from infinite Kempe linkages.* Bulletin of the London Mathematical Society, 41 (6). pp. 1105-1111. ISSN 1469-2120

## Abstract

In 1876 Kempe showed that any algebraic curve in the plane may be realised as the locus of one of the joints of a finite bar-joint linkage. An often cited illustration of this is that there is a linkage that can write a person's signature to any particular accuracy. An infinite analogue is established showing that any continuous curve in the plane is the curve of motion of a joint of an infinite bar-joint linkage. This is curious, as continuous curves can be space filling. Moreover, there is a single infinite linkage that simultaneously traces everybody's signature with no error whatsoever.

Item Type: | Article |
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Journal or Publication Title: | Bulletin of the London Mathematical Society |

Subjects: | Q Science > QA Mathematics |

Departments: | Faculty of Science and Technology > Mathematics and Statistics |

ID Code: | 26955 |

Deposited By: | Mr Richard Ingham |

Deposited On: | 19 Aug 2009 10:19 |

Refereed?: | Yes |

Published?: | Published |

Last Modified: | 27 Oct 2016 01:35 |

Identification Number: | |

URI: | http://eprints.lancs.ac.uk/id/eprint/26955 |

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