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20022011
most citedLIGO: The Laser Interferometer Gravitational-Wave Observatory

1.2k citations

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math.AT2002★ 15 cited

Topological robotics: motion planning in projective spaces

Michael Farber, Serge Tabachnikov, Sergey Yuzvinsky

We study an elementary problem of topological robotics: rotation of a line, which is fixed by a revolving joint at a base point: one wants to bring the line from its initial positi…