To have more control over the orientation of the normal-field, the following pictures use a parallel frame as provided by the guys from TU Berlin.
Some animations, that show a little bit, how the general set-up works. Very noisy, since the configurations are very sensible to changes.
3dSpirograph_27-by contralex from contralex on Vimeo.
3dSpirograph_84-by contralex from contralex on Vimeo.
3D-Spirograph
This is my attempt to translate the classical Spirograph into the third dimension.
Like in the classical setup, we have a point on a disc running along a curve, but in this setup we use a closed space-curve instead of a circle. The curve has a Normal-field, that gives us the orientation for the disc.