lasercutting problems - angles control - unrolling surfaces - milling process - finger joint

I have few questions and I will really appreciate if someone could help me answer them.

I have made a model on mathematica and exported it into rhino then grasshopper.

I am currently working on a details elements for more understanding of local problems.

The idea is to get information on the angle for each panel for CNC lasercutting machine.

The main problem, I think is to control the angle to assemble all the elements that will be lasercut. I explored the vectors along the panel but I am lost in finding a way to control this.

I tried also to create finger-joints or jigsaw joints on the edge without success.

The issue would be to able to unroll the surface with the complete control on angles.

If I am just unrolling the surface without knowing how to assemble them it will be random asembling and the tolerance will reck the model. Don't you think ?

I also thought about radial nodes

Does thoses issues are making any sense for anyone here ?

Could you possibly help me find out answers for thoses problems ?

Moreover I have saw this project and they have mastered those problem.

Would you be able to tell me more about it ?

http://www.oliverdavid.de/?page_id=36

I am trying to fully comprehend also the offset properties to create thickness on a mesh in order to turn it into a surface for an eventual "unroll surface command"

It will be ideal if you could answer me with some tips on how to solve those various problems. I am lost and I spent more than 20 hours trying to solve those issues without success.

Thank you for your time.