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Continuous curves from infinite Kempe linkages.

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

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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
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: 09 Oct 2013 13:40
Identification Number:
URI: http://eprints.lancs.ac.uk/id/eprint/26955

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