Electronic Dodecahedron Idea

I've been working on an idea for the Hunt Museum installation. I would like to construct a replica of the bronze Roman dodecahedron from PCB electronics boards, that I will design, print and cut, and LEDs. The idea is to print the information about the item (period of history, where found, material, etc) onto the PCB board and then to cut out 12 identical pentagons. I would then construct the dodecahedron from the pieces. At each corner there would be an LED. All LEDs would be connected to another PCB board with a circuit on that tells the LEDs to light up at random. This board would be situated inside the structure. I would also like to hook up a sensor that would increase the speed of the LEDs as the viewer approaches. Ambitious? Definitely, given my lack of experience in this area, but I'm eager to give it a go!
Some sketches I made earlier today...

I started off with the basis of Metatron's Cube:

Then connected all the centres of the circles:

Constructed a dodecahedron using further calculations:

Visualisation of proposed idea: