The main reason I chose this name is that some people think too many programs are being released with ii in their names. Some of these names would normally have nothing to do with the ii sound, but the name was mangled to force an ii into them. I don't really care one way or another. I tend to think of ii as a way to identify the program as a wii program. Anyway, this name was chosen especially because it would get under the skin of certain people :D. Hi guys! You know who you are because you are the ones feeling pissed off right now :P.
If you don't like that excuse, then the 4 dots on the top of iiii represent the 4 pieces you need to line up to win.