These 12-sided boxes are made with staves laser-cut with 15-drgree bevels on the stave sides. A jig was used to hold each stave at a 15-degree angle. The height of the jig-stave unit was < 0.5 inches to conform with the Glowforge constraints. The beveling was an attempt to get tighter tolerances between staves. [But box wasn’t designed to hold beer!]
The staves were made of Baltic birch plywood and the inlays stained Baltic birch. There are probably better dimension choices, but these show a proof of concept.
(Single pass with focal height set to 1/2-way thru the material. I’ve found I get much cleaner cuts in wood that way. Of course, calculating “1/2-way” in elevated, angled material takes a bit of maths!)
These are interesting proofs of concept but unfortunately they are really not that practical for any sort of production since the setup time is really slow. Using a table saw or belt sander is way faster and easier to accurately reproduce.
The extra cut-length on the 15-degree angle is about 3.5% of the material thickness. The energy deposit settings (speed and power) used were the same as I normally use. My kerf is typically about 0.007 inches, more than needed for normal cuts.
The angle of the kerf cut is a little over 1 degree. I did not compensate for this … because I didn’t think to do so. Next time, thanks to you, there’ll be an adjustment.