Scramble: L2 R2 F2 U B2 D2 L2 F2 D' L2 D F D B2 D2 U' B' L2 R' F' R'
Solution: B' R2 F' R B2 R' F R B2 R L' B L B L' B' L B L U M U' L' U M' F' U2 F R' L2 U' B' U R2
Explanation:
Start on inverse scramble.
Triple x-cross: R2 U' B U L2 R F' U2 F U' .
Last slot: B' L' B L B' L' B' L
COLL: R' B2 R' F' R B2 R' F R2 B
Insert at .: U M U' L U M' U' L', 2 moves cancel.
Magical start with a terrible ending, resulting in a normal solve. Can anybody find a good continuation for this start?
Maarten,
Did you try B' L' B' L B after Triple-X cross?
which gives a nice 15 move edge frame
Then double corner insertion?
Should definitely become sub 30!
Gus
I solved the last 5 edges keyhole-style and got the same sequence as Gus: B' L' B' L B.
This leaves 4 corners to solve. This can lead to a 30-move "linear" solution.
3X Cross: R2 U' B U L2 R F' U2 F U' (10)
Edges (also 1 LL corner): B' L' B' L B (15)
Corner 3-cycle to solve 1 corner: (B2 D' F2 D)2 (23-1 = 22)
Corner 3-cycle to solve last 3 corners: D' (U' L' U R2 U' L U R2) D (32-2 = 30)
Using two 3-cycle insertions for the last 4 corners, I got the move count down to 26.
First, I found an insertion for the "flexible" case of solving 1 corner, while moving the twisted corner. That leaves an ordinary corner 3-cycle for the 2nd insertion.
3X Cross: R2 U' B U L2 R F' . U2 F U' (10)
Edges (also 1 LL corner): B' L' B' L B (15)
Flexible insertion (at "."): F D' F' U' F D F' .. U (23-3 = 20)
2nd insertion (at ".."): R U' L U R' U' L' U (28-2 = 26)
(Note that the 2nd insertion has a U cancelling with a U' since the first insertion combined a U with a U2 to net a U'.)
I note that flexible insertions such as the one here seem to me to be very time-consuming to search for thoroughly because there are 4 possible 3-cycles to consider at each move in the skeleton (and each of those involve one piece in which the orientation doesn't matter). The nice thing is that there are many more opportunities for getting a high cancellation. Only getting 3 moves cancelling was somewhat disappointing. (It's quite possible I missed something, however.)