Straight line motion with rigid sets
Por:
Connelly, Robert, Montejano, Luis
Publicada:
1 mar 2018
Resumen:
If one is given a rigid triangle in the plane or space, we show that the only motion possible, where each vertex of the triangle moves along a straight line, is given by a hypocycloid line drawer in the plane. Each point lies on a circle which rolls around, without slipping, inside a larger circle of twice its diameter. We also prove a natural extension in Euclidean n-space. © 2017, The Managing Editors.
Filiaciones:
Connelly, Robert:
Cornell Univ, Dept Math, White Hall, Ithaca, NY 14853 USA
Montejano, Luis:
Univ Nacl Autonoma Mexico, Inst Matemat, Ciudad Univ, Mexico City 04510, DF, Mexico
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