Never heard of light burn I usually use Adobe Illustrator to make the templates, .001 size for vector cuts and numbers higher than that for raster cuts. You can also use Autodesk Fusion 360 and use their cad software to make puzzle cuts at the end so you dont have to place it at a 90 degree angle with the metal supports you use. From Fusion 360 flatten the pieces on one axis and then transfer the template to illustrator.
If you wanted to fit a cube snugly inside of a cylinder, what's the math to figure out how long each side of the cube would be? Actually I found it. It looks like it would make a cool project to just make circles and squares alternating within each other! masonsimon.com/2015/11/17/how-big-of-a-square-fits-in-a-circle/
here is a video of using onshape to make any size you want to make laser cut notched boxes/models and the dxf files for the laser cutter! : ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-YPoJ484-7tI.html