Converting 3D Models Into Separate Polygons On A Flat Plane

Hi, I may not be in the right place for these types of questions, but I've decided to ask here as I cannot find any answers online. Long story short; I want to use a CNC Plasma Table to make the polygons needed for a simple dome, as I don't have the means or experience to make it another way. What I am trying to find is a program or something that will allow me to take a 3D model of a dome I made and move all the polygons into a flat plane so that I can trace them in the program for the plasma table.



Essentially I am wanting to get separate images of each polygon from a flat plane.

Is there a program that could help me? (Preferably free as I don't have the money to pay for a program)