Meandric Systems

This Demonstration shows a graphical representation of a meandric system. A meandric system is a set of closed planar curves that intersect a horizontal line times. A meander is a meandric system with one connected component. Meandric systems are in bijection with pairs of noncrossing set partitions [1]. The meandric system is shown in red, while the (upper) and (lower) noncrossing set partitions are shown in black; singletons are not displayed. Select the number of points with the top slider. Then click the and buttons to generate a new plot.


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[1] Wikipedia. "Noncrossing Partition." (Sep 21, 2016)
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