The Geometry of Linkages

dc.rights.license	CC-BY-NC-ND
dc.contributor.advisor	Kool, M.
dc.contributor.author	Baanen, T.
dc.date.accessioned	2016-08-12T17:00:39Z
dc.date.available	2016-08-12T17:00:39Z
dc.date.issued	2016
dc.identifier.uri	https://studenttheses.uu.nl/handle/20.500.12932/23463
dc.description.abstract	Kempe's Universality Theorem states that using linkages made only of rigid bars and freely rotating joints, any algebraic curve can be constructed. This thesis concerns Abbott and Barton's reparation of Kempe's flawed proof, and produces a computer program that visualizes these universal linkages. In contrast, visualizing an arbitrary linkage is proven NP-complete. Finally, we will study the geometry of linkages' configuration spaces.
dc.description.sponsorship	Utrecht University
dc.format.extent	262754
dc.format.mimetype	text/x-tex
dc.language.iso	en
dc.title	The Geometry of Linkages
dc.type.content	Bachelor Thesis
dc.rights.accessrights	Open Access
dc.subject.keywords	linkage; geometry; algebraic curve; algebraic set; kempe's universality theorem; constructibilty; p versus np; configuration space
dc.subject.courseuu	Wiskunde