Yeah for a sphere the 2 to 1 ratio works because a sphere is made up of a 180 degree vertical arc which then revolves around a 360 degree arc. So that 360 to 180 degree arc ratio is where the 2 to 1 would come from.

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

The next beta will have a new "Projective" option which projects the object along the base surface's surface normal onto the other object. It will be helpful for avoiding distortion for cases where you want to apply an object to a more localized area of the other object, but since it uses ray-shooting type projection it won't be applicable to a pattern like you've been showing previously that wraps around an entire sphere.

I don't know how it would be possible to avoid distortion for a fully wrapped pattern because it's not physically possible to take a 2D object like a piece of paper and apply it to a doubly-curved object like a sphere and not have any bunching in the paper...

Remember - MoI can't do things that are physically impossible... ;)

- Michael