My latest creation is the three dimensional Trefoil knot.

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(Eric Buijs) #1

My latest creation is the three dimensional Trefoil knot. I designed it in such a way in OpenSCAD that if the parametric equations are known it’s easy to implement in the script. It was printed without support and the result wasn’t too bad. The surface is a bit rough but I’m confident that I can improve that with MeshLab.

If someone wants to tinker with the script or 3D print: https://drive.google.com/open?id=1Fht626tkD747crsAx_46S6G419AmDGD5
Beware that rendering can take a considerable amount of time.

Here is a link to my YouTube video where I explain how it is made in OpenSCAD: https://youtu.be/cGZjWD5ebHc

Cheers.

(Zbigniew Karno) #2

@Eric_Buijs
According to my knowledge the knot on this picture below is a left-handed trefoil knot, labeled with Alexander-Briggs notation as 3₁ .
See here: https://en.wikipedia.org/wiki/Trefoil_knot
https://upload.wikimedia.org/wikipedia/commons/thumb/b/b3/Blue_Trefoil_Knot.png/220px-Blue_Trefoil_Knot.png

(Eric Buijs) #3

@Zbigniew_Karno I was only vaguely aware of the chirality of the knot. Thanks for bringing it up.