Have you ever experienced lucid dreams? Being in control of what you do, fully realizing that you are dreaming, yet still be within the dream. It's like the ultimate virtual reality. I sometimes contemplate about the nature of dreams: what the hell are they? What if they are some sort of window toward an alternate reality? One where we can be who we want. A reality that exists, just not the one we live in. Maybe the girl who solved that Rubik's cube is someone you've met in one of these realities, and that dream is your portal to her. Haha, I'm too sober to push the reasoning; but regardless of what you do, do try to meet her again, and if you do, keep us posted!