Flatten 3D curves to create a flat template

I have created a type of skeleton round a surface and now need to flatten it so I can create a template for a laser cutter. I have tried various things but can’t get anything to work. I was wondering if anyone knew a command to do this or a program I could use to do this?

I have the file if you want to play around with it an understand it better


Moved to Rhino for Windows category

Hello - if you have the surfaces, then Squish with the curves, should help.