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 1469-2120Full text not available from this repository.
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.
|Journal or Publication Title:||Bulletin of the London Mathematical Society|
|Subjects:||Q Science > QA Mathematics|
|Departments:||Faculty of Science and Technology > Mathematics and Statistics|
|Deposited By:||Mr Richard Ingham|
|Deposited On:||19 Aug 2009 10:19|
|Last Modified:||06 Mar 2016 01:18|
Actions (login required)