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
References in zbMATH (referenced in 3 articles , 1 standard article )
Showing results 1 to 3 of 3.
- Belousov, Yu.: Semimeander crossing number of knots and related invariants (2020)
- Belousov, Yury; Malyutin, Andrei: Meander diagrams of knots and spatial graphs: proofs of generalized Jablan-Radović conjectures (2020)
- Even-Zohar, Chaim; Hass, Joel; Linial, Nati; Nowik, Tahl: Universal knot diagrams (2019)