I had to look up the name for the technique, but it is used to make the faces of puzzle boxes like this one.
A quick search for a youtube video which shows some of the details gives me this one. I barely watched any of it, so cannot vouch for the quality. I just know there was an English dub and sub.
The decorative patterns on each side of the box are formed by taking sticks of various types of wood and standing them on end, bundling them together, then laminate the top and shave off a small layer. Rinse and repeat until you have no more layers available.
Replicating this on a laser cutter by trying to cut small segments and put together a single laminate at a time would be tedious. But you can quite easily cut the long sticks, then assemble those and return to the usual Laminate and shave off the top layer approach. Of course angles are an issue, but once you get a stick thin enough, you could prop it up on an incline inside the Forge and slice an angle through.
The added bonus of the laser is you can cut non-straight lines for each stick, but still coordinate them all to stick together and make solid layers at each depth. Now every layer you cut will look slightly different than the others.