Posted 14 August 2010 - 11:13 AM
Like niner, I learned an algorithm from a book when the cube was invented. After two weeks I could solve the cube in under 30 seconds, depending on how it was randomized. I showed the cube to one of my brothers (a physicist) who'd never seen it. He solved played with it for half an hour, and announced he had a general solution and we compared our methods. He said his was an inferior method, as it had only one manipulation applied iteratively, whereas the book method I used had four, and allowed for a more rapid solution.
According to Martin Gardner, in one of his Scientific American columns, John Horton Conway (the mathematician and physicist of Cambridge and later Princeton) learned of the cube from a description by another mathematician; they did not have an actual cube. Conway closed his eyes, and after 13 seconds opened them, and said "I've solved it." He'd visualized the cube and mentally solved it, and confirmed his solution with witnesses when they got hold of an actual cube. The column may be online somewhere, it lists a solution and facts about the cube.