diagram-sampler

diagram-sampler: Sample knots by taking random crossings for a given planar curve, and identify them using SnapPy. Universal knot diagrams. We study collections of planar curves that yield diagrams for all knots. In particular, we show that a very special class called potholder curves carries all knots. This has implications for realizing all knots and links as special types of meanders and braids. We also introduce and apply a method to compare the efficiency of various classes of curves that represent all knots.

Keywords for this software

Anything in here will be replaced on browsers that support the canvas element