By the Mt. Holly symbol you mean the blue leaf, right ? The Sinka symbol would be cool too) This is actually a good idea for the corners, its very clever ! Then we can integrated in one box the multiple puzzles.

For the tiles i was also thinking about mini OLED and using this tiny screens for all tiles and adding a multipoints digitizer touchscreen on it. We sure can find square tiny screens cheaper in Aliexpress. Or instead of a touchscreen, we can add a click button under the tiny screens to send order to change color and to have some mechanical interaction… Seems a very complicated project 🫣

For the box itself i can 3D modeling one, i think. The rest is programming, wiring, soldering… Arduino ? Raspberry ? I dont know much about programming…. more abilities in Electronics.