Weaving patterns of lines and line segments in space

@article{Pach1993WeavingPO,
  title={Weaving patterns of lines and line segments in space},
  author={J{\'a}nos Pach and Richard Pollack and Emo Welzl},
  journal={Algorithmica},
  year={1993},
  volume={9},
  pages={561-571}
}
Aweaving W is a simple arrangement of lines (or line segments) in the plane together with a binary relation specifying which line is “above” the other. A system of lines (or line segments) in 3-space is called arealization ofW, if its projection into the plane isW and the “above-below” relations between the lines respect the specifications. Two weavings are equivalent if the underlying arrangements of lines are combinatorially equivalent and the “above-below” relations are the same. An… CONTINUE READING
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