The configuration space of a robotic arm in a tunnel of width 2
1 : Universidad de los Andes [Bogota]
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Website
2 : Department of Mathematics [San Francisco=
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Website
San Francisco State University Thornton Hall 937 1600 Holloway Ave San Francisco, CA 94132 -
États-Unis
3 : Univesidad del Valle [Cali] Colombia
(Univalle)
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Website
Ciudad Universitaria MeléndezCalle 13 # 100-00Sede San FernandoCalle 4B # 36-00 -
Colombie
We study the motion of a robotic arm inside a rectangular tunnel of width 2. We prove that the configuration space S of all possible positions of the robot is a CAT(0) cubical complex. Before this work, very few families of robots were known to have CAT(0) configuration spaces. This property allows us to move the arm optimally from one position to another.
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