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
