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.
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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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