For example: You could enter some fragile object and then let the Prolog search for best shape of box for it.

Only problem is that all (most?) Prologs suck, the realm of natural numbers is not in the search space. In this case there is also good cause to limit this realm by available printing area and accuracy.

Another possibility might be using Prolog's list/object composing ability. As a fun example let's imagine that you have a Flintstone's AirBNB. You write Prolog code to capture some pieces like a weather forecast icon and a headline or two, then compose that into a design that looks like this info on a stone tablet and send it to the printer loaded with marble colored filament, then have it on the table with breakfast.