# How to get a torus knot

How to get a torus knot of type (3,k). Third step: before pasting the cylinder, we give a twist to one of its bases. If we want the threads to match, the angle of the twist must be a multiple of 360°/3. Note that the result is one curve, if we see the passage again from the beginning, we will notice that the colours of the three components have been shaded in a unique rainbow of colours.

The image has been realized for the exhibition *matemilano*.

See also the interactive animation Two numbers for a knot.

© matematita

immagine di Gian Marco Todesco

The image belongs to the sections...:

From "fragments of topology" (From "XlaTangente")

Images from the topology section (From the exhibitions of matematita)

Knots described by two numbers (Topology)

Further information:

http://www.toonz.com/personal/todesco