A magic square is a 2-dimensional hypercube every orthogonal square in a hypercube ought to be a magic square annd the n-agonals ought to sum too see the hypercube to be magic, when the other squares are also magic square the quality of the hypercube improves. also when the magic squares improve the quality say to {pandiagonal} magic squares this improves the magic hypercubes quality a magic hypercube is called {perfect} when all possible magic squares in the hypercube are {pandiagonal} magic squares, though some see a mere {diagonal} magic cube as a "perfect magic cube", I therefore use the curly brackets to indicate the the {perfect} magic cube has all monagonals, pan-diagonals and pan-triagonals summing correctly, thus making the {perfect} magic cube of higher quality then the perfect magic cube, the {perfect} magic cube has all the possible magic squares as {pandiagonal} magic square, while the perfect magic cube needs only magic orthogonal squares.