Borromean Rings

thingiverse

A 3-D rendering of Borromean rings (see https://en.wikipedia.org/wiki/Borromean_rings). The design starts in Sage, export to X3D (resulting file included), then (in recent versions of Cura) import X3D directly into Cura. In Cura, scale and situate figure on print platform, then export STL again to form the STL thing file here. Here is the Sage code to generate the figure: t = var('t') P = parametric_plot3d([cos(t),sin(t),0.2*sin(3*t)],(t,0,2*pi), thickness=30, aspect_ratio=1, color="blue", frame=False) P += parametric_plot3d([cos(t+2*pi/3)+cos(pi/6),sin(t+2*pi/3)+sin(pi/6),0.2*sin(3*t)],(t,0,2*pi), thickness=30, aspect_ratio=1, color="red", frame=False) P += parametric_plot3d([cos(t)+cos(-pi/6),sin(t)+sin(-pi/6),0.2*sin(3*t)],(t,0,2*pi), thickness=30, aspect_ratio=1, color="green", frame=False) P.show(apect_ratio=[1,1,1]) Since Sage is Python-based, be sure to check line breaks. The figure consists of three separate parameterized undulating circles in space, with thickness large enough to be suitable for printing.