Development of sphere

I have random curves on sphere surface and I need them on flat without change of length and shape. Something like flat word map.
I’ve found this:
But how to make it in rhino or gh with curves from sphere surface?
Any ideas?

Cut the curves and the sphere with longitude plane and unroll the sphere parts with curves.

Take a look at the attachment.
Lunchbox plugin is required. (11.4 KB)

Here another approach purely geometric using Find Domain
If you want curves instead of polyline you can use point deform.
The horizontal line are due to angles going from 2*pi to 0. Angles must be tested if not in domain but I didn’t do it.
It take a bit of time, the world is big ! (9.4 MB)


Wow. It works great. Thanks a lot!