Configuration spaces of mechanical linkages

Citation
D. Jordan et M. Steiner, Configuration spaces of mechanical linkages, DISC COM G, 22(2), 1999, pp. 297-315
Citations number
12
Categorie Soggetti
Engineering Mathematics
Journal title
DISCRETE & COMPUTATIONAL GEOMETRY
ISSN journal
01795376 → ACNP
Volume
22
Issue
2
Year of publication
1999
Pages
297 - 315
Database
ISI
SICI code
0179-5376(199909)22:2<297:CSOML>2.0.ZU;2-X
Abstract
We present an easy to survey constructive method using only basic mathemati cs which allows us to define a homeomorphism between any compact real algeb raic variety and some components of the configuration space of a mechanical linkage. The aim is to imitate addition and multiplication in the framewor k of weighted graphs in the euclidean plane that permit a "mechanical descr iption" of polynomial functions, and thus of varieties.