LED cubes are pretty common projects that actually are quite easy to build. The only need is a patience to solder LED diodes nicely in to cube. Usually hobbyists build cubes out of mono-color LEDs, but this one is different. It is built of RGB LEDs that makes lots of wiring and soldering. This is an 8x8x8 RGB LED cube so totally 512 RGB LEDs or 512×3=1536 individual LEDs to be controlled.
Hardware part took quite time to accomplish, but results are amazing. Such creation requires some processing power to display real time transitions, so it is controlled by PIC32 MCU which sends commands to LEDs via TLC5940 -16 channel PWM drivers. So as usually every LED of cube is addressable individually.