Title
Interlocked open and closed linkages with few joints
Abstract
We study collections of linkages in 3-space that are interlocked in the sense that the linkages cannot be separated without one bar crossing through another. We explore pairs of linkages, one open chain and one closed chain, each with a small number of joints, and determine which can be interlocked. In particular, we show that a triangle and an open 4-chain can interlock, a quadrilateral and an open 3-chain can interlock, but a triangle and an open 3-chain cannot interlock.
Year
DOI
Venue
2003
10.1016/S0925-7721(02)00171-2
Comput. Geom.
Keywords
Field
DocType
open chain,open 4-chain,closed chain,configurations,open 3-chain,knots,closed linkage,linkages in s 3,small number
Discrete mathematics,Linkage (mechanical),Algebra,Computer science,Interlock,Quadrilateral,Knot (unit)
Journal
Volume
Issue
ISSN
26
1
Computational Geometry: Theory and Applications
Citations 
PageRank 
References 
4
1.00
5
Authors
4
Name
Order
Citations
PageRank
Erik D. Demaine14624388.59
Stefan Langerman2831101.66
Joseph O'Rourke31636439.71
Jack Snoeyink42842231.68