Meandric Systems

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram CDF Player or other Wolfram Language products.

Requires a Wolfram Notebook System

Edit on desktop, mobile and cloud with any Wolfram Language product.

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.

Contributed by: Ion Nechita (September 2016)
Open content licensed under CC BY-NC-SA


Snapshots


Details

Reference

[1] Wikipedia. "Noncrossing Partition." (Sep 21, 2016) en.wikipedia.org/wiki/Noncrossing_partition.



Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
Send