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The 3x3 Example Solve Game with only half turns

Christopher Mowla

Premium Member
Sep 17, 2009
New Orleans, LA
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Next: L2 U2 D2 R2 D2 F2 D2 R2 U2 L2 D2 L2 F2 R2 D2 F2 U2 L2 D2 L2
L2 F2
L2 B2 R2 U2 (U2 F2 B2 U2 F2 B2) B2 R2 U2 R2 B2 U2 B2 L2
U2 D2

18 HTM

(The moves in parenthesis is an insertion, and the last two moves are the rest of that insertion (2 2-cycle of midges in S). But they can be executed at the end as they are now so that the B2) B2 can cancel in the inside of the algorithm.)

Next: R2 F2 U2 R2 B' F' L2 D2 L2 U2 B' F'


Apr 25, 2008
Next: R2 F2 U2 R2 B' F' L2 D2 L2 U2 B' F'
F2 U2 F2 D2 B2 D2 // alternative to U2B2U2B2U2, maybe more opportunities for insertions but i didn't check
F2 U2 (U2F2U2R2 U2F2U2R2) F2 D2 B2 D2 //insertion to cycle 3 edges
= U2 R2 U2 F2 U2 R2 F2 D2 B2 D2 // cancels 4 moves
U2 R2(R2U2L2 B2 L2U2R2 F2) U2 F2 U2 R2 F2 D2 B2 D2 // cycle another 3 edges
= L2 B2 L2 U2 R2 F2 U2 F2 U2 R2 F2 D2 B2 D2 // also cancels 4 moves

Next: F2 D2 B2 F2 U2 D2 R2 L2 U2 B2 U2 B2 L2 D2 F2 L2 R2 B2 R2 B2 F2 D2 L2 B2 F2