When I first started taking my digital fabrication class, my teacher showed us an example of a ring he had cut on a laser printer. I really liked the design of the ring, but it required four separate pieces of acrylic to form the base of the ring and a fifth peice cut in an "s" that would fit in the top. This seemed way too complecated A ring laser-cut out of clear plastic acrylic with a fake daimond on top with rastered egdes to look like a diamond.
Open.ai file and resize band of ring to size if desired. Send job to Laser cutter. Ring was cut at 600dpi with raster speed/power set to 100/5 and vector cutting speed/power/frequency set to 12/100/5000.