A old math professor of mine got me excited about carving knots. So I plotted a 3d , mobius knot in the math program Maple, converted to gray scale and produced a double sided carve. Unfortunately, finishing the knot turned out to be a lot of work since there was a lot of wood to be removed from the "blind" spots. This was especially difficult and time consuming with the harder woods. I carved a knot hollow and made a jig to hold the knot vertical so the Carvewright could carve the blind spots.
1. a finished knot of rosewood
2. the sled for the double sided first two carves.
3. a picture showing the blind spot (ebony).
4. the jig to hold the knot vertical. (Note that the knot can be removed and rotated without removing the jig from the Carvewright.)
5. a picture after most of the blind wood is removed (Koa).
I use the knot as a example in calculus of a nonorientable surface. That is: a surface with only one side.