obelisk477
Veteran
If one center cap falls off on 4 cubes in MBLD, are they considered solved?
What makes you think they wouldnt be?
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If one center cap falls off on 4 cubes in MBLD, are they considered solved?
The first question is easy. It's 54! = (2.31x10^71) if there are no restrictions on combinations of stickers.How many ways are there to resticker a Rubik's cube given a 6 colors, 9 identical stickers per color? 1 sticker per square obviously. As a useless bound, it's somewhere between 43 quintillion*12 and 54!
And how 'groups' are there in those? A 'group' is a bunch of stickerings which can be turned into one another by turning the Rubik's cube.
Are you sure? 54! would be correct if all stickers were distinct but for a cube they're not. (6 groups of 9 stickers)The first question is easy. It's 54! = (2.31x10^71) if there are no restrictions on combinations of stickers
Ah, I actually know this formula. Didn't think of using it. I think this number should be further divided by 24 to account for double counting different orientations of the same state...?Oops. That somehow slipped my mind. You have to divide by the number of ways each group of 9 stickers can be arranged. This means the answer is 54!/((9!)^6) = 1.01x10^38. The relevant formula is permutations of multisets.
Ah, I actually know this formula. Didn't think of using it. I think this number should be further divided by 24 to account for double counting different orientations of the same state...?
yup, so its a slightly bigger number than what youd get just dividing by 24There are states that don't change after being rotated
I got a 1.98 on 10 move solution so 5tpsFor those who didn't know already, Eli Jay's 1.8 UKNR skewb single was 11 moves, making the solve almost 6TPS.
Why is it that the scrambles listed here for FMC do not start and end with R' U' F even though the comp was after the scrambler change?
http://iwca.jp/competition/scrambles/competitionId/CanberraAutumn2016/eventId/333fm
Why is it that the scrambles listed here for FMC do not start and end with R' U' F even though the comp was after the scrambler change?
http://iwca.jp/competition/scrambles/competitionId/CanberraAutumn2016/eventId/333fm
So just out of interest, has anyone actually tried 4x4x4 FMC seriously? I feel like it would be an interesting puzzle because you would need to balance a lot more things than with 3x3x3.