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 . 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.
 Wikipedia. "Noncrossing Partition." (Sep 21, 2016) en.wikipedia.org/wiki/Noncrossing_partition.
Wolfram Demonstrations Project
Published: September 22 2016