I loved reading this, but I can't help but think that a "perfect scramble" would be one that can ONLY be solved in 20 moves, i.e no shortcuts can be applied to solve in less moves. I wonder how many of those exist?
Right. This reminds me of Enigma not mapping a letter to itself. Perfect isn't quite the name for this, it's constrained with the outward appearance of being unpatterned and being very patterned having only 48 arrangements of a unique solution. When we see simple patterns, we think things are not truly random, hence fake random for Spotify playlists.
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I loved reading this, but I can't help but think that a "perfect scramble" would be one that can ONLY be solved in 20 moves, i.e no shortcuts can be applied to solve in less moves. I wonder how many of those exist?
Right. This reminds me of Enigma not mapping a letter to itself. Perfect isn't quite the name for this, it's constrained with the outward appearance of being unpatterned and being very patterned having only 48 arrangements of a unique solution. When we see simple patterns, we think things are not truly random, hence fake random for Spotify playlists.