Comment on The Rubik's Cube Perfect Scramble (2024)parentComments−kevindamm1yThere are about 490 million of them, the full list can be downloaded from that same cube20 sitehttps://www.cube20.org/distance20s−BurningFrog1yYou can trim it down by counting in quarter moves.That is, count a 180° move as two 90° moves. Which it is, though we usually don't think of it that way.Assuming a random move length distribution, that would only leave a (2/3)^20 fraction of them, which is about 147000 positions.−kevindamm1yThat page also shows their results for quarter turns, there are 3 (or fewer) with 26 quarter turns being the shortest they can be solved in. 36 (or fewer) needing 25 quarter-turns.https://www.cube20.org/qtm/
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There are about 490 million of them, the full list can be downloaded from that same cube20 site
https://www.cube20.org/distance20s
You can trim it down by counting in quarter moves.
That is, count a 180° move as two 90° moves. Which it is, though we usually don't think of it that way.
Assuming a random move length distribution, that would only leave a (2/3)^20 fraction of them, which is about 147000 positions.
That page also shows their results for quarter turns, there are 3 (or fewer) with 26 quarter turns being the shortest they can be solved in. 36 (or fewer) needing 25 quarter-turns.
https://www.cube20.org/qtm/