Abstract
We show that for any two convex curves C1 and C2 in Rd parametrized by [0,1] with opposite orientations, there exists a hyperplane H with the following property: For any t∈[0,1] the points C1(t) and C2(t) are never in the same open half space bounded by H. This will be deduced from a more general result on equipartitions of ordered point sets by hyperplanes.
Full Text
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call