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I am not so sure these unwrapping operations are the right transformations. They seem to be just laying out the polygons to apply a texture to. The polygons themselves do not seem to change size....

That does look promising. Can the displacement map be converted to gray scale ?

Very interesting. So far, I can only unwrap patterns that I can describe mathematically. Given a surface in terms of two variables (u,v), I convert to cylindrical coordinates and unwrap. By U V...

Have you guys seen fire pistons? They are an old fire starting device which would make an excellent project for the rotary jig. Do a Google search on "fire piston" and look at all of the images. ...