• Corpus ID: 3036625

Locked and unlocked polygonal chains in 3D

@article{Biedl1998LockedAU,
  title={Locked and unlocked polygonal chains in 3D},
  author={Therese C. Biedl and Erik D. Demaine and Martin L. Demaine and Sylvain Lazard and Anna Lubiw and Joseph O'Rourke and Mark H. Overmars and Steven M. Robbins and Ileana Streinu and Godfried T. Toussaint and Sue Whitesides},
  journal={ArXiv},
  year={1998},
  volume={cs.CG/9910009}
}
In this paper, we study movements of simple polygonal chains in 3D. We say that an open, simple polygonal chain can be straightened if it can be continuously reconfigured to a straight sequence of segments in such a manner that both the length of each link and the simplicity of the chain are maintained throughout the movement. The analogous concept for closed chains is convexification: reconfiguration to a planar convex polygon. Chains that cannot be straightened or convexified are called… 

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