8x8x8 multiplexed LED cube with an Arduino Mega 2560

Funny thing, I was looking at the same seller, only at his 3mm LEDs. I guess he has good prices. I'd like to use 3mm ones because it makes the cube more empty, more transparent, more visible (up to 5x5x5 it probably does not matter but when you get to 8x8x8 it does).