nprofile1qy2hwumn8ghj7un9d3shjtnyd968gmewwp6kyqpq2yf75rvd8gp3kvpq78udvrm86ssumrzx0pnfekuqwwmrdw7l3muqmgu9m4 (nprofile…u9m4) That's a very interesting idea, thanks. Yes, I have several Shashibo cubes and I've played with them a lot.
I've just tried connecting 24 of these tetrahedra with tape to make a hinged loop that can fold into a rhombic dodecahedron. There appears to be considerable creative freedom in how to do that! I don't yet know if there a particularly regular or symmetrical arrangement that works.
It's more difficult than I expected to fold the hinged loop back up into the rhombic dodecahedron. This has potential as a puzzle.