CC BY-NC-SA 3.0 UnportedBreiner, Christine2022-08-042022-08-042015https://oa.tib.eu/renate/handle/123456789/9846http://dx.doi.org/10.34657/8884What is the most efficient way to fence land when you’ve only got so many metres of fence? Or, to put it differently, what is the largest area bounded by a simple closed planar curve of fixed length? We consider the answer to this question and others like it, making note of recent results in the same spirit.enghttps://creativecommons.org/licenses/by-nc-sa/3.0/510Geometry and TopologyAnalysisReport6 S.