porkynator
Member
Interesting situation, I've never heard of something like this before.
It took me quite a while to realize that, since those sequences of moves both leave the S-slice as it was:
F2 U2 B' U2 B2 = S2 (F2 U2 B' U2 B2) S2 = B2 D2 B' D2 F2
Cool, isn't it?
But I think situations like this are so rare that it's kinda useless to learn how to recognize and exploit them.
My attempt with that scramble:
It took me quite a while to realize that, since those sequences of moves both leave the S-slice as it was:
F2 U2 B' U2 B2 = S2 (F2 U2 B' U2 B2) S2 = B2 D2 B' D2 F2
Cool, isn't it?
But I think situations like this are so rare that it's kinda useless to learn how to recognize and exploit them.
My attempt with that scramble:
Scramble: B2 L2 B2 L' B2 L F2 D2 R2 D L2 D' B2 R2 B2 F' L2 R2
Solution: R2 L2 F' U' R2 U L' D2 L D2 L' D L D' F2 U' L2 D L2 D' B2 R2 D' R2 B2 L2 B2 (27 HTM)
Premove: B2
R2 L2 F' //EO (3/3)
U' R2 U //BLocks (3/6)
L' D2 L D2 L' D L //Domino Reduction (7/13)
D' F2 L2 //More Blocks (3/16)
L2 U' L2 D L2 D' * L2 U //Pairs Commutator, 2 moves cancel (6/22)
B2 //Undo Premove (1/23)
At this point I began looking for places to insert those nasty edges cycles like R2 B2 L2 U L2 B2 R2 D; the best I could find was a 2-moves cancellation for a 29 total. With some hint from IF (I've looked at where to insert the cycle):
* = B2 R2 D' R2 B2 L2 U' L2 //Edges 3-cycle, 4 moves cancel (4/27)
Solution: R2 L2 F' U' R2 U L' D2 L D2 L' D L D' F2 U' L2 D L2 D' B2 R2 D' R2 B2 L2 B2 (27 HTM)
Premove: B2
R2 L2 F' //EO (3/3)
U' R2 U //BLocks (3/6)
L' D2 L D2 L' D L //Domino Reduction (7/13)
D' F2 L2 //More Blocks (3/16)
L2 U' L2 D L2 D' * L2 U //Pairs Commutator, 2 moves cancel (6/22)
B2 //Undo Premove (1/23)
At this point I began looking for places to insert those nasty edges cycles like R2 B2 L2 U L2 B2 R2 D; the best I could find was a 2-moves cancellation for a 29 total. With some hint from IF (I've looked at where to insert the cycle):
* = B2 R2 D' R2 B2 L2 U' L2 //Edges 3-cycle, 4 moves cancel (4/27)
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