Document Type
Conference Proceeding
Publication Date
8-1-2003
Publication Title
Computational Geometry: Theory and Applications
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.
Keywords
Configurations, Knots, Linkages in S 3
Volume
26
Issue
1
First Page
37
Last Page
45
DOI
10.1016/S0925-7721(02)00171-2
ISSN
09257721
Rights
© 2003 Elsevier Science B.V. All rights reserved.
Recommended Citation
Demaine, Erik D.; Langerman, Stefan; O'Rourke, Joseph; and Snoeyink, Jack, "Interlocked Open and Closed Linkages with Few Joints" (2003). Computer Science: Faculty Publications, Smith College, Northampton, MA.
https://scholarworks.smith.edu/csc_facpubs/201
Comments
Archived as published. Open access paper.