Didactic Crystallographic Model

The idea for a final project is to create a didactic crystallographic model. This will be a RGB LEDs cube (5x5x5), which means it will be an array of 125 LED.
The purpose is to help the understanding of three-dimensional crystallographic structures. In my own experiences is always challenging to explain an 3D arrangement on a plane. My idea is to make it easier for students as well as teachers.
Operation of the model will be through an Android App which only have the function to select the structure and via bluetooth will command the coordinates and the color of the LEDs that should be on to show the crystal structure selected.