| Authors: | Bárány, Imre Blagojević, Pavle Szucs, András |
Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | Equipartitioning by a convex 3-fan | Journal: | Advances in Mathematics | Volume: | 223 | Issue: | 2 | First page: | 579 | Last page: | 593 | Issue Date: | 30-Jan-2010 | Rank: | M21a | ISSN: | 0001-8708 | DOI: | 10.1016/j.aim.2009.08.016 | Abstract: | We show that for a given planar convex set K of positive area there exist three pairwise internally disjoint convex sets whose union is K such that they have equal area and equal perimeter. |
Keywords: | Convex 3-fans | Equipartitions | Equivariant maps | Publisher: | Elsevier | Project: | Hungarian National Foundation, Grants 49449, 60427 and 62321 Advanced methods for cryptology and information processing |
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