I was messing with something like this a few weeks ago but I did it wrong. I think you have it right..I once made up this formula without any evidence.
(Amount of layers-1) * 10 + 1 for even layered cubes (or use a nice mod function if you want to get all mathy and stuff)
So
1x1x1 = (1-1) * 10 = 0
2x2x2 = (2-1) * 10 + 1 = 11
3x3x3 = (3-1) * 10 = 20
4x4x4 = (4-1) * 10 + 1 = 31
It seems really low but not improbable (and it is correct for 1, 2 and 3). I should simply see the amount of positions that can be reached on a 10x10x10 cube in 101 moves compared with the amount of total positions but I never could be bothered
THANK YOU applemobile!!! Atheist Speed Cubers FTW! I vote we call it "Thee Algorithm" instead of "God's Algorithm".
Therefore, thee algorithm for a 3x3x3 is 20.
What? If we are going to call it something else, it ought to be Frank's Algorithm.
and by "we" you mean "you and a couple of other people in the speedcubing community that understand math" and actually write things like "Θ" online, right?
blasphemy to even doubt!
optimal? Nobody knows but probably "centuries" so nobody is going to start such a calculation because there is no benefit to doing it.
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