Suppose all caps face the same direction... DONE! Suppose two caps (AB) face the same direction, if they're diagonal, then you can flip the diagonal. Regardles

Suppose all caps face the same direction... DONE! Suppose two caps (AB) face the same direction, if they're diagonal, then you can flip the diagonal. Regardless of which caps flip, all caps will then have the same orientation. If the two caps are along a side, then you perform a side flip. If you get the other two caps, or you flip AB, then all caps have the same orientation. If you flip one of the AB caps and one other, you now have a diagonal setup, which we have already solved. If you have one cap, then flip a cap, you will either have two caps in the same orientation (which we know how to solve) or all caps in the same orientation. Three caps is the same as one cap in the same orientation.