INTRODUCTION

Every knot or link (KL) inputted in LinKnot by its Conway code can be visualized directly as a Mathematica graphic by using the function ShowKnotfromPdata, shown in OpenGL by ShowKnotbyOpengl. KL can be exported to JavaView, or to the program KnotPlot created by R. Sharein, that gives a possibility to relax knots and links, produce their 3D images and animations. In this article, we will consider visualizations of knot-theoretical properties discussed in the paper “Discovering symmetry of knots by using program LinKnot”.

Decorative knots have been used from prehistory till our days as a basis of different artworks, so they still can be an inspiration for artists and artisans. Picture below shows two Celtic knots and Chinese decorative knots.

 

 

 

 

 “Impossible trefoil” created by Slavik Jablan.