Hi SW03,

It probably isn't that simple, I'm just approaching this like applying objects like a texture. ;)
And as I said it all gets squeezed anyways, as it flows to the poles. But trying this with circular
patterns seems to look relatively undistorted at the equator.

As for the math involved, like Barbie once said "Math is hard!!" :)

Michaels' script link in post #28 can sometimes help extract curve lengths for more unusual shapes.

I'm looking forward to the next Beta where some of these distortions can maybe handled differently.