Laser Cut Polyhedra
I've been toying around for a while with the idea of laser cutting through the material at an angle to create a mitred edge. Cut enough of these edges and you can still all the shapes together to create special boxes of polyhedra. I finally got round to testing it and it works really well. You can see all the cutting details over on the JustAddSharks blog here , but for now I'm just sharing pictures of the polyhedra I made using this technique.