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UL [U] F' (L' U' L F) This is a pretty easy case.

UF (R' F R F') This is called the sledgehammer.

UB y [U] F (R U') (R' F') This one is pretty quick.

UFUL (R' U' F U) (R2 U') (R' F')This one is a bit too long to be practical. I willusually just do a sledgehammer or regularinsertion here.

UFUB (R' F) (R2 U R' U' F') This one is not great, but it's still decently fast.

UBUL y [U2] (F U') (R U') (R' F')This one is a bit too long to be practical. I willusually just do a sledgehammer or regularinsertion here.

NONE y (R' F' R) U2 (M' U' M)

This case is pretty neat because it turns what

would be a nasty no edges OLL case into a nicecase with all edges oriented and it's a pretty fastalg.

Mirrored Connected Pair

Name Diagram Algorithm Comments

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ALL [Dw'] (L' U L) These are just the mirrors of the above cases.

UB [Dw'] F (R U R' F') These are just the mirrors of the above cases.

UR (F R' F' R) These are just the mirrors of the above cases.

UL [U'] F' (L' U) (L F) These are just the mirrors of the above cases.

UBUR y (L U F' U') (L2' U) (L F) These are just the mirrors of the above cases.

URUL y (L F') (L2' U' L U F) These are just the mirrors of the above cases.

UBUL [U2] (F' U) (L' U) (L F) These are just the mirrors of the above cases.

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NONE (L F L') U2 (M' U M) These are just the mirrors of the above cases.

Split Pair

Name Diagram Algorithm Comments

ALL (R U R') This is just the standard insertion.

UF (R U') (R' U2') (R' F R F')This one is a bit too long to be practical. I willusually just do a regular insertion here.

UL (R U2') (R' U') (R' F R F')Here you just make the pair, restore the cross,and sledgehammer the pair in.

UR [Dw'] (L' U2' L) Dw (R U' R')Here you just make the pair, restore the cross,and sledgehammer the pair in.

URUL (R U2) y (R U') (R' F')This one is a bit too long to be practical. I willusually just do a regular insertion here.

UFUL [U2] (R U) y (R U') (R' U' F')This one is a bit too long to be practical. I willusually just do a regular insertion here.

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UFUR (R U) y (R U R' U') F'This one is a bit too long to be practical. I willusually just do a regular insertion here.

NONE (R' D') (L F' L' D) (R2 U R')

This case is neat to know, but I don't use it toooften. I usually just use it in one-handed solving

to avoid the much longer cases with no edgesoriented.

Mirrored Split Pair

Name Diagram Algorithm Comments

ALL y (L' U' L) These are just the mirrors of the above cases.

UB y (L' U2) (L U) (L F' L' F) These are just the mirrors of the above cases.

UR y (L' U) (L U2) (L F' L' F) These are just the mirrors of the above cases.

UF [U] (R U2 R') d' (L' U L) These are just the mirrors of the above cases.

UFUB y (L' U2') y' (L' U) (L F) These are just the mirrors of the above cases.

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UFUR y [U2] (L' U') y' (L' U) (L U) F These are just the mirrors of the above cases.

UBUR y (L' U') y' (L' U' L U F) These are just the mirrors of the above cases.

NONE y (L D) (R' F R D') (L2' U' L) These are just the mirrors of the above cases.

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