I am wondering who is able to solve Rubik's cube just by thinking without knowing the rules behind it. As far as I know the inventor Ernő Rubik was professor of architecture and he intended to help students to learn 3D imagination. However from my point of view it is really ridiculous and probably to hard for most of us at least in reasonable time. For me personally it is really hard to memorize all implications of either move after 2 or even 3 turns.
What special logic or memorization techniques could be applied to solving a Rubik's cube without relying on guides or taught algorithms? In other words, how would one go about solving a Rubik's cube "blind", from a general mechanical understanding and first principles?
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