721 research outputs found
Convex Equipartitions via Equivariant Obstruction Theory
We describe a regular cell complex model for the configuration space
F(\R^d,n). Based on this, we use Equivariant Obstruction Theory to prove the
prime power case of the conjecture by Nandakumar and Ramana Rao that every
polygon can be partitioned into n convex parts of equal area and perimeter.Comment: Revised and improved version with extra explanations, 20 pages, 7
figures, to appear in Israel J. Mat
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