One of the challenging trophies in the game. It is probably best to be done in Endless Mode where you have to have 5 Hypercubes at once on the screen and the only way to do that is if you make one, not use it and save it and try to make another along the way. If you run out of moves then you may have to use one.
TIP: You can enter the XMB and quit out of the game once you have 2, 3, or 4 hypercubes made. You can decide how often to do this as maybe having 2 on screen doesn't make you worried and you don't feel the need to save.