Slime wrote:

Thanks for that Slime.  And now I understand why the apparent difference 
between the behavior of the pigment and the hf was faking me out.  The 
pigment was being "rotated" too, but its intersection with the surface 
just happened to mimic somewhat, what the unrotated pattern might also do.

Now I just have to try and understand why the apparent center of the 
cylinder in the cylindrical pattern seems to be at x=0 z=1

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