A In Place

Ao In Place

BL

L'BLB'LUL'

LU'L'U'LU'L'ULUL'

reduction by LU'L'

B'LUL'U'L'BL

or as x'U'RwURw'F'Rw'FRw, from Teller Coates

(U)L'B'LULU'L'B

inverse

(U')L'U'L'U'LUL'ULUL'

reduction by (U')L'U'L'

(U2)LU2L'ULU'L'U2LU'L'

reduction by (U2)LU2L'

BL - FL free

L2U'LUL2'

(U')L2U'L'UL2

BL - BR free

BRB'R'B'

BR

FR2URU'R2'F'

from Rowan Kinneavy

(U)RB'R'BR'U'R

(U)BR'U'RURB'R'

or as x'UR'F'RFRU'R'x

R'URUR'URU'R'U'R

reduction by R'UR

RBR'U'R'URB'

inverse; or as x'RUR'F'R'FRU'x, by Teller Coates

RURURU'R'U'R'

edge control

(U')RURUR2U'R'U'R'

edge control

(U2)RURUR'U'R'U'R'

edge control

(U)R'URUR'U'RU'R'U'R

reduction by (U)R'UR

BR - FR free

R2'UR'U'R2

(U)R2'URU'R2'

BR - BL free

B'L'BLB

FL

LFL'U'L'ULF'

or as RwURw'U'Rw'FRwF', from Sinpei Araki

FL'U'LULF'L'

inverse

(U)LF'L'FL'U'L

(U2)L'U2LU'L'ULU2L'UL

reduction by (U2)L'U2L

L'ULUL'ULU'L'U'L

reduction by L'UL

RUR2Uw'R2UwR

from Justin Jaffray

FL - BL free

L2'UL'U'L2'

(U)L2'ULU'L2'

FL - FR free

F'R'FRF

FR

(U')F'RUR'U'R'FR

from Rowan Kinneavy

R'F'RURU'R'F

inverse; from Joël van Noort, popularized by Erik Akkersdijk

(U)RU'R'U'RU2R'URUR'

reduction by (U)RU'R'; edge control; from Tim Major

R'U'R'U'R'URUR

edge control

(U)R'U'R'U'R2URUR

edge control

(U2)R'U'R'U'RURUR

edge control

RU'R'U'RU'R'URUR'

reduction by RU'R'

(U')R'FRF'RUR'

(U')RU'R'U'RUR'URUR'

reduction by (U')RU'R'

(U2)RU2R'URU'R'U2RU'

reduction by (U2)RU2R'

FR - BR free

R2U'R'UR2

x'R'U'R'URx

from JUN

R2'U'RUR2

probably better to reduce to one of the above unless OH

FR - DBR free

D'RU'R'D

similar for other corners

(U)D'RU2'R'D

variation

FR - FL free

FRwU'Rw'F'

Af In Place

BL - corner DBL

LU'L'BL'B'L

BR - corner DBR

R'URB'RBR'

FL - corner DFL

L'ULF'RwURw'

FL - corner DFL - BR free

R2Uw'R'UwR2

from Dave Orser

FR - corner DFR

(U)RU'M'UR'U'M

or as RU'R'RwUR'U'RRw'

RS'R'URSR'

from Teller Coates

FR - corner DFR - FL free

FRwURw'F'

also same algorithm for FL slot

FR - corner DFR - BR free

x'R'U'RURx

FR - corner DFR - BL free

LFRwURw'F'L'

above conjugated by L

L2DFD'L2

from Dennis Nilsson