All the logo has to do is feel and look good at first glance for outsider. Simple as that. You will not be able to provide lengthy explanations and diagrams with it unfortunatelly. It just is what it is to a fresh newbie as he first interprets it. Cube is a cube, it's wishful thinking to suppose that people will pick the letters from it, no way. Tomoe is some kind of whirl, etc. You have to look it from outsiders' point of view.