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Continuous curves from infinite Kempe linkages.

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Continuous curves from infinite Kempe linkages. / Owen, John C.; Power, Stephen C.
In: Bulletin of the London Mathematical Society, Vol. 41, No. 6, 12.2009, p. 1105-1111.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Owen, JC & Power, SC 2009, 'Continuous curves from infinite Kempe linkages.', Bulletin of the London Mathematical Society, vol. 41, no. 6, pp. 1105-1111. https://doi.org/10.1112/blms/bdp087

APA

Owen, J. C., & Power, S. C. (2009). Continuous curves from infinite Kempe linkages. Bulletin of the London Mathematical Society, 41(6), 1105-1111. https://doi.org/10.1112/blms/bdp087

Vancouver

Owen JC, Power SC. Continuous curves from infinite Kempe linkages. Bulletin of the London Mathematical Society. 2009 Dec;41(6):1105-1111. doi: 10.1112/blms/bdp087

Author

Owen, John C. ; Power, Stephen C. / Continuous curves from infinite Kempe linkages. In: Bulletin of the London Mathematical Society. 2009 ; Vol. 41, No. 6. pp. 1105-1111.

Bibtex

@article{ddca99455c9f43478ebdbd0b53c36c64,
title = "Continuous curves from infinite Kempe linkages.",
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.",
author = "Owen, {John C.} and Power, {Stephen C.}",
year = "2009",
month = dec,
doi = "10.1112/blms/bdp087",
language = "English",
volume = "41",
pages = "1105--1111",
journal = "Bulletin of the London Mathematical Society",
issn = "1469-2120",
publisher = "Oxford University Press",
number = "6",

}

RIS

TY - JOUR

T1 - Continuous curves from infinite Kempe linkages.

AU - Owen, John C.

AU - Power, Stephen C.

PY - 2009/12

Y1 - 2009/12

N2 - 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.

AB - 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.

U2 - 10.1112/blms/bdp087

DO - 10.1112/blms/bdp087

M3 - Journal article

VL - 41

SP - 1105

EP - 1111

JO - Bulletin of the London Mathematical Society

JF - Bulletin of the London Mathematical Society

SN - 1469-2120

IS - 6

ER -