To know why the Gamecube failed, you need to disect the Gamecube and Fail.
Fail has 4 letters. A square has 4 sides. So Fail is to letters, what square is to sides.
Fail^2 has 16 letters. 16/2=8, which is the number of vertices a Cube has. Also, it is the number of letters in Gamecube. Gamecube is also 2 words (Game + Cube) put together.
16th Letter in the alphabet is P. Playstation starts with P.
So there you have it. That is why Gamecube = Fail.
That's about as likely as me playing by somebody elses rules, which I would never do. I only play by my own rules, nobody elses...not even my own.