Three linked trefoils

by kitwallace, published

Three linked trefoils by kitwallace May 13, 2017
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106Views 51Downloads Found in Math Art


Revised 15/5/17

An OpenSCAD version of dennedesigns http://www.thingiverse.com/thing:1448630

The base OpenSCAD code is generated by my knot generator

using the fourier function but replacing the last lines with

path = Paths[0];
knot= path_knot(path,R,Sides,Kscale);
r=30;  // configuration 1
// r=90;  // configuration 2
for (k=[0:2]) {
            translate([d * cos (k*120), d * sin(k*120),0])


This generates the two configurations shown.

At first glance the result looks like Borromean rings with trefoils in place of unknots. However cutting any single knot leaves the other two still joined, so this is not a Brunnian link. It would be nice to make a Borromean version.

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