I have already tried one project with engraving and another with cutting. Now I wanted to combine both techniques. It works. It's not perfect yet, but you don't have to look at it from two inches away ...
For all those who have a 3D printer, I have designed a special egg adapter. There are pictures of it in the gallery. Do you need it? Absolutely not! Does it look cool? Absolutely yes! You can download the stl files here. It's the main part and a flexible rubber-like support, a ring so that the egg doesn't slip. Good luck!