this post was submitted on 13 Jul 2023
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Every Rubik's Cube, no matter how scrambled, can be solved in at most 20 rotations.
I don't think this is true for all of them. My cube takes at least a couple hundred rotations and then you have to take the stickers off and move them around to solve it.
Note that that's in the "half turn metric" where 90ยฐ and 180ยฐ turns of a single face are both considered "one move." It's the more common metric but not the only way to measure.
In the quarter turn metric, every scramble can be solved in at most 26 rotations (and the solutions are often very different from the optimal half turn metric solution!).
Also, both of these results are relatively recent compared to when the cube was invented. The HTM fact in 2010 and the QTM fact in 2014.