A torus link
Three untied circumpherences are an example of torus knot of type (3,0). If we want to get a torus knot of type (3,k), we can take three line segments drawn on a cylinder and roll up the cylinder to for a "doughnut" after having imparted a twist of a particular angle (k times 120°). The image shows the case k=0; if we give a complete twist, we obtain the torus knot (3,3).
See also the interactive animation Two numbers for a knot.
© matematita
immagine di Gian Marco Todesco
The image belongs to the sections...:
Images from the topology section (From the exhibitions of matematita)
Three or more components knots (Topology)
Knots described by two numbers (Topology)
Further information:
http://www.toonz.com/personal/todesco
