Electronic LED project

Job ID: 36973438

Budget: £20 – £250 GBP

Hello, I'm looking for someone who can help me with building a circuit with a button that randomly selects an LED to light up, similar to an unbiased electronic dice. I'd like to be able to introduce or remove LED lights at will (ranging from 3-9 LEDs). Essentially each LED is situated within its own cube (that it lights up when selected from the button (see images)) so therefore I’d like to be able to connect the cubes in different 2D arrangements and for the circuit to run in the same way (random selection etc).

The button cube will hold the button, battery and any essential circuitry and the LED cubes will hold one LED each and connections on all four sides. The images I've attached show potential ways it could look. The available space in each cube is roughly 71x71x40mm but this can be adjusted depending on the proposed circuitry. Any help with building the circuit needed to make this work would be greatly appreciated!!