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Equipartitioning by a convex 3-fan

Barany, I; Blagojevic, P; Szucs, A; (2010) Equipartitioning by a convex 3-fan. Advances in Mathematics , 223 (2) pp. 579-593. 10.1016/j.aim.2009.08.016. Green open access

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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.

Type: Article
Title: Equipartitioning by a convex 3-fan
Open access status: An open access version is available from UCL Discovery
DOI: 10.1016/j.aim.2009.08.016
Publisher version: http://doi.org/10.1016/j.aim.2009.08.016
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: Convex 3-fans, Equipartitions, Equivariant maps
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
URI: https://discovery.ucl.ac.uk/id/eprint/82491
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