Epicycloid, 12 cusp, round wires

An epicylcloid is the figure made by a point on a circle rolling around another circle, in this case, one exactly 12 times as large, producing a 12 cusped figure.  This version is made by  erecting circles on the tangent chords to that curve, which is visible when looking down the Z axis.The paths are round in cross section. Epicycloids were made famous by the Spirograph.