Donald M. Davis (Vol. 19 No. 1 2015)

Real projective space as a space of planar polygons   

Donald M. Davis

We describe an explicit homeomorphism between real projective space RP^{n-3} and the space \overline{M}_{n,n-2} of all isometry classes of
n- gons in the plane with one side of length n-2 and all other sides of length 1. This makes the topological complexity of real projective space more relevant to robotics.

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