Elementary proofs of Kempe universality

Power, Stephen Charles (2017) Elementary proofs of Kempe universality. Mathematical Proceedings of the Royal Irish Academy, 117A (1). pp. 23-37. ISSN 1393-7197

[thumbnail of kempe_MPRIA_arxiv]
Preview
PDF (kempe_MPRIA_arxiv)
kempe_MPRIA_arxiv.pdf - Accepted Version
Available under License Creative Commons Attribution.

Download (179kB)

Abstract

An elementary proof is given to show that a parametrised algebraic curve in the plane may be traced out, in the sense of A. B. Kempe, by a finite pinned linkage. Additionally it is shown that any parametrised continuous curve $\gamma:[0,1]\to \bR^2$ may be traced out by an infinite linkage where the valencies of the joints is uniformly bounded. We also discuss related Kempe universality theorems and give a novel correction of Kempe's original argument.

Item Type:
Journal Article
Journal or Publication Title:
Mathematical Proceedings of the Royal Irish Academy
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/aacsb/disciplinebasedresearch
Subjects:
?? kempe universality, linkages, infinite bar-joint frameworksdiscipline-based research ??
ID Code:
86056
Deposited By:
Deposited On:
27 Apr 2017 10:06
Refereed?:
Yes
Published?:
Published
Last Modified:
11 Mar 2024 00:26