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Equipartitioning by a convex 3-fan |
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| Authors: | Imre Bá rá ny,Pavle Blagojevi? |
| Affiliation: | a Rényi Institute of Mathematics, Hungarian Academy of Sciences, PO Box 127, 1364 Budapest, Hungary b Department of Mathematics, University College London, Gower Street, London WC1E 6BT, England, United Kingdom c Institute of Mathematics, Serbian Academy of Sciences and Arts, Knez Mihajlova 36, 11000 Belgrade, Serbia d Department of Analysis, Eötvös Lóránd University, Pázmány Péter sétány 1/C, 1117 Budapest, Hungary |
| 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 |
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