Unroll creased cone coordinates

Hello folks!
How can I orient an “Creased Cone coordinates” to XY.
Given that it is a segmented cone, is it possible to approach it using Polar components or other Orientation methods, or perhaps through Transform techniques?"

Basically its an “Straight loft” unrolling but I don’t want to go through that method.
Any help would be appreciate it

conic_coordinates.gh (20.3 KB)

So you are saying you DON’T want to do that?
Looks like what you want to do is labor intensive for no apparent reason.
Is there some specific reason why you want to do it? and is there something specific you want to achieve?