Okay, so this is pretty amazing for me:
Mike Hughey:
4x4x4 Fewest Moves: 82 moves
Rw’ R’ Dw’ L Dw2 U F2 Rw’ R’ D Bw’ D2 Bw B Uw B F’ R2 Uw’ R2 Uw’ L’ Dw2 R Dw2 R’ Dw2 R2 L U L’ Dw2 Uw’ F’ U2 F Uw R Fw2 R’ B’ R Fw2 F’ Rw2 U’ L2 U Rw2 R U L2 B U2 D’ L2 F2 L2 F L2 F’ D F’ D L D L’ F D’ F’ D R’ D2 L U’ L’ D2 L U L’ D’ R
centers: Rw’ R’ Dw’ L Dw2 U F2 Rw’ R’ D Bw’ D2 Bw
B Uw B F’ R2 Uw’ R2 Uw’
L’ Dw2 R Dw2 R’ Dw2 R2 L U L’ Dw2
edges: Uw’ F’ U2 F Uw
R Fw2 R’ B’ R Fw2
F’ Rw2 U’ L2 U Rw2
3x3x3: R U L2 B U2
3x3x4: D’ L2 F2 L2 F L2
3x cross: F’ D F’ D L D L’
4th pair, plus all but three corners(!): F D’ F’ D R’ . D’ R
insert at .: D2 L U’ L’ D2 L U L’
There’s also a cancellation between the end of the centers and start of the edges (Dw2 Uw’), but I didn’t have time to rewrite everything to accommodate it. So that would really be 81 moves. I’m disappointed I didn’t have time to find a canceling insertion – I’m betting there’s a good one there somewhere, but I was just about out of time. 49 moves for reduction, then 33 moves for the 3x3x3 – if only they could always be this great! I have a feeling this is the best I will do at this for a very very long time.
Just write it with a rotation.
