One way (as shown below) to create the rings mathematically is with the following three parametric equations, one for each ring. (cos(u) , sin(u) + r , cos(3u) / 3) (cos(u) + 0.5 , sin(u)  r/2 , cos(3u) / 3) (cos(u)  0.5 , sin(u)  r/2 , cos(3u) / 3)Where u = 0 > 2pi This is illustrated below for r = sqrt(3)/3, the radius of the spheres placed along the path is 0.2
It is possible to make the rings out of elliptical rings, it does require 3 dimensions. The parametric equations for the three "rings" are
( 0 , r1 cos(u) , r2 sin(u) ) ( r2 cos(u) , 0 , r1 sin(u) ) ( r1 cos(u) , r2 sin(u) , 0 )Where u = 0 > 2pi This is illustrated below for r1 = 2, r2 = 1, and the radius of the tubes = 0.2
And finally, using box geometry...
Contribution by Robert McGrego
