43 quintillion possibilities

Short post today, my first from the WordPress iPad app. Sometimes you see something done so well, so elegantly, so cleverly that you can share it with little commentary. Such is the case with Kenneth’s (RedKB) “Why is the Rubik’s Cube So Hard?!?!!” video below. The answer, of course, is that there are 43 quintillion possible cubie combinations on a 3×3 cube, only one of which is “solved.” But 43 quintillion is impossibly hard to understand. Until now:

Kenneth also has a follow up episode on the probabilities surrounding a 7×7, with conclusions that are hard to believe.

This makes me want to do a post on the math behind 43 quintillion. Soon….