Horsefaces cases:
HF
5:12
HFo
Blocks and split cases:


Pirate Boot cases:
PB
1:24
PBo

Even Cases
Odd Cases
PB ++
PB++PB
 U2 (y') transforms to PB --  
PB --
1:144
PB--PB
y(R' L') U2 L U L' U2' R U' L1012
y(R' U2 R' U2') (R U' R' U2') (R U2 R)1115
PB +-
1:144
PB+-PB
 F2 R2 U2' R F2' (R' U' R) F2 R' U2' R2' F2'1321
y'R2' (U2 R2 U2 R2') (U R U2' R) (U R U2 R2') (U' R2 U' R')1726
PB -+
1:144
PB-+PB
 F2 R2 U2 R F2' (R' U R) F2 R' U2 R2' F2'1321
y'(R U R2' U) (R2 U2' R' U') (R' U2 R' U') (R2 U2' R2' U2') R21726
PB a--
PBa--PBa
 U2' (y) transforms to PB a++  
PB a++
1:144
PBa++PBa
yL U R U2 L' U' L U2' (R' L')1012
y2(R U2 R U2') (R' U' R U2') (R' U2 R')1115
PB a-+
1:144
PBa-+PBa
y'R2' F2' U2 F' R2 (F U F') R2' F U2 F2 R21321
y'R2 (U2' R2' U2' R2) (U' R' U2 R') (U' R' U2' R2) (U R2' U R)1726
y2'(R2' D') U2 R2 U R2' U' (R2' D) R' U R2' U2 R21422
PB a+-
1:144
PBa+-PBa
y'R2' F2' U2' F' R2 (F U' F') R2' F U2' F2 R21321
y'(R' U' R2 U') (R2' U2 R U) (R U2' R U) (R2' U2 R2 U2) R2'1726
 

Symetric cases:


Parasol cases:
PS
1:36
PSo

Even Cases
Odd Cases
PS ++
1:144
PS++PS
 (R2' U2 R2 U) (R2' U2 R2)713
y2(L2 U2 L2' U) (L2 U2 L2')713
PS --
1:144
PS--PS
y2'(R2' U2' R2 U') (R2' U2' R2)713
 (L2 U2' L2' U') (L2 U2' L2')713
PS +-
1:144
PS+-PS
 (L U2) (L' U2') (L F' L' U' L U) (L F L2')1316
y2(R' L') U2' R U' L (y) (R L) U2' R' U' L'1214
PS -+
1:144
PS-+PS
 (R' U2') (R U2) (R' F R U R' U') (R' F' R2)1316
 L U R U2 (L' R') (y') L' U R' U2 (L R) U21214
 

Thor's Hammer cases:
TH
1:48
THo

Even Cases
Odd Cases
TH ++
TH++TH
 U2 (y') transforms to TH ++  
TH --
1:144
TH--TH
y'(R U R' U') (R' F) (R2 U') (R' U' R U) (R' F')1415
y'(R U R' U') (R2' U' R2 U) (R U' R' U') (R2' U R2)1519
TH +-
1:144
TH+-TH
 R2' U2' R2 U') (R2' U R2 U') (R2' U2' R2)1119
y2(L2 U2' L2' U') (L2 U L2' U') (L2 U2' L2')1119
TH -+
1:144
TH-+TH
y2'(R2' U2 R2 U) (R2' U' R2 U) (R2' U2 R2)1119
 (L2 U2 L2' U) (L2 U' L2' U) (L2 U2 L2')1119
 

Cockatoo cases:


Cockatoo Head cases:
CH
1:18
CHo

Even Cases
Odd Cases
CH ++
1:144
CH++CH
y(L' U2 L U2) F2 (R U R' U') F2' (L' U L)1317
yR' F' (U L' U' L) F R - F' (U' L' U L) F1414
y'(R2 U2 R2' U') (R2 U' R' U2) (R' U' R' U2') (R2 U R2' U) R1725
CH --
1:144
CH--CH
 (L' U' L) F2 (U R U' R') F2' (U2' L' U2' L)1317
 F' (L' U' L U) F - R' F' (L' U L U') F R1414
y'R' (U' R2 U' R2') (U2 R U R) (U2' R U R2') (U R2 U2' R2')1725
CH +-
1:144
CH+-CH
yR2' U2 R2 U2 (F' U' F) R2' U2 R2 (F' U F)1320
y(R U2' R' U) (R2 U2' R2' U') (R U R U2) (R' U R')1520
CH -+
1:144
CH-+CH
y(F' U' F) R2' U2' R2 (F' U F) U2' R2' U2' R21320
y(R U' R) (U2' R' U' R') (U R2 U2 R2') (U' R U2 R')1520
CH a--
1:144
CHa--CHa
y'(R U2' R' U2') F2' (L' U' L U) F2 (R U' R')1317
y'L F (U' R U R') F' L' - F (U R U' R') F'1414
y'(R2' U2' R2 U) (R2' U R U2') (R U R U2) (R2' U' R2 U') R'1725
CH a++
1:144
CHa++CHa
 (R U R') F2' (U' L' U L) F2 (U2 R U2 R')1317
 F (R U R' U') F' - L F (R U' R' U) F' L'1414
y'R (U R2' U R2) (U2' R' U' R') (U2 R' U' R2) (U' R2' U2 R2)1725
CH a-+
1:144
CHa-+CHa
y2'F2 U2' F2' U2' (R U R') F2 U2' F2' (R U' R')1320
y2(R' U2 R U') (R2' U2 R2 U) (R' U' R' U2') (R U' R)1520
CH a+-
1:144
CHa+-CHa
y2'(R U R') F2 U2 F2' (R U' R') U2 F2 U2 F2'1320
y2(R' U R') (U2 R U R) (U' R2' U2' R2) (U R' U2' R)1520
 

Cockatoo Feathers Raised cases:
CF
1:24
CFo

Even Cases
Odd Cases
CF ++
CF++CF
 U2 (y') transforms to CF --  
CF --
1:144
CF--CF
F:RU R2 (y) L U' R' U L' U' R (y') R U R2 U'1315
y2R (U2 R' U2 R') (U2' R2 U' R') (U R' U2 R) (U2 R U' R')1723
CF +-
1:144
CF+-CF
y'(R2' U2 R2 U) R2' F2 U' (R2 U R2' U) F2' U R21423
y(R' U' R U2') (R U2' R U2') (R2' U' R2 U2') (R2' U R U') (R2' U R)1927
CF -+
1:144
CF-+CF
y'R2' U' F2 (U' R2 U' R2') U F2' R2 (U' R2' U2' R2)1423
y(R' U' R2) (U R' U' R2) (U2 R2' U R2) (U2 R' U2 R') (U2 R' U R)1927
CF a--
CFa--CFa
 U2' (y) transforms to CF a++  
CF a++
1:144
CFa++CFa
F:RU' R2' (y) R' U L U' R U L' (y') R' U' R2' U1315
yR' (U2' R U2' R) (U2 R2' U R) (U' R U2' R') (U2' R' U R)1723
CF a-+
1:144
CFa-+CFa
y'(R2 U2' R2' U') R2 bR2' U (R2' U' R2 U') bR2 U' R2'1423
y2(R U R' U2) (R' U2 R' U2) (R2 U R2' U2) (R2 U' R' U) (R2 U' R')1927
CF a+-
1:144
CFa+-CFa
y'R2 U bR2' (U R2' U R2) U' bR2 R2' (U R2 U2 R2')1423
y2(R U R2') (U' R U R2') (U2' R2 U' R2') (U2' R U2' R) (U2' R U' R')1927
 

Cockatoo Top Feathers cases:
CT
1:18
CTo

Even Cases
Odd Cases
CT ++
1:144
CT++CT
y'(R L') U' L U2' R' U2 L' U L U2 R U2' R'1418
y2R' U' R (y) R (bR U bR') R' F (U R U' R') F'1414
y2(R' U' R U2') (R U2 R2' U) (R U' R U2') R'1317
CT --
1:144
CT--CT
y'R U2 R' U2' L' U' L U2' R U2 L' U (L R')1418
y2'F (R U R' U') F' R (bR U' bR') R' (y') R' U R1414
y'R (U2 R' U R') (U' R2 U2' R') (U2 R' U R)1317
CT +-
1:144
CT+-CT
 L2' U2 L2 (y') R2 U R2' U (y) L2' U L2 U' (y') R2 U2' R2'1424
y(L R) U2' (R' U' L') (y') (R' U L') U2' R U2' L1316
y(R U2 R U2') (R' U2' R' U2) (R2 U2 R2' U') (R U' R')1522
CT -+
1:144
CT-+CT
y'R2 U2 R2' (y) U L2' U' L2 (y') U' R2 U' R2' (y) L2' U2' L21424
y2(R' U L') U2' (R U2' L) U (y) (R L) U2' (R' U' L')1417
y(R U R') (U R2 U2' R2') (U2' R U2 R) (U2 R' U2' R')1522
CT a--
1:144
CTa--CTa
y(R L') U R' U2 L U2' R U' R' U2' L' U2 L1418
yR U R' (y') R' (F' U' F) R bR' (U' R' U R) bR1414
y(R U R' U2) (R' U2' R2 U') (R' U R' U2) R1317
CT a++
1:144
CTa++CTa
yL' U2' L U2 R U R' U2 L' U2' R U' (L R')1418
 bR' (R' U' R U) bR R' (F' U F) R (y) R U' R'1414
y'(R' U2') (R U' R U) (R2' U2 R U2') (R U' R')1317
CT a-+
1:144
CTa-+CTa
 R2 U2' R2' (y') R2' U' R2 U' (y) R2 U' R2' U (y') R2' U2 R21424
y'R' L' U2 L U R (y) L U' R U2 L' U2 R'1316
y2(R' U2' R' U2) (R U2 R U2') (R2' U2' R2 U) (R' U R)1522
CT a+-
1:144
CTa+-CTa
y'R2' U2' R2 (y) U' R2 U R2' (y') U R2' U R2 (y) R2 U2 R2'1424
y2'(L U' R) U2 (L' U2 R') U' (y') (R' L') U2 (L U R)1417
y2(R' U' R) (U' R2' U2 R2) (U2 R' U2' R') (U2' R U2 R)1522
 
Cases with 4 or 5 corners wrong:


Evil Eagle & the broken arrows cases:
EA o
1:144
EAoEAco
 (R U R2' U2) (R2 U2 R2') (y') (R' U' R U2) (R' U' R U) bR1622
y'(R2 U R2' U) (R U2' R' U) (R' U2' R U) (R' U R2 U) (R U' R2')1925
 
EA -
1:144
EA-EAc-
 F' (R U2' R2' U') (R2 U R2' U') (R2 U2' R') F (R' U2 R)1623
y2(R U2 R' U) (R U2' R2' U') (R2 U' R2' U2) (R U' R U') R'1723
EA +
1:144
EA+EAc+
yR2 U2' (F2 R2' F2' U) (F' U2 F2') R2 (F2 U2' F) U R2'1526
y'bR (R U R' U) (R U R' U') (R U' R' U') bR' (U2' R U2 R')1820
 (R' U' R U') (R U2 R2' U') (R2 U' R2' U2') (R U R' U2) R1723
 
 
EA --
1:144
EA--EAc--
y'(R2 U2) bR2' (U R2' U' R2 U') bR2 (U' R2')1118
y2'(R U2' R U2) (R' U' R' U2) (R2 U2 R2' U') (R U' R')1521
EA ++
1:144
EA++EAc++
y'(R2' U') F2 (U' R2 U' R2' U) F2' (U2 R2)1118
y(R' U2 R' U2') (R U R U2') (R2' U2' R2 U) (R' U R)1521
 
Inverses: self

Only CW edge cycles here because you can always AUF to this situation.

Eagle in the sky & Broken Arrows cases:
CW edge cycles
CCW edge cycles
BA o
1:144
BAoBAco
y'R2' U2' R2 U2' R2' (y) R2' F2 R2 U R2' F2' R2 U2' F21427
 (R' U R) (U2 R' U2 R) (U R2' U' R) (U' R' U' R) (U2 R' U R2)1924
BA ao
1:144
BAaoBAaco
 F2' U2 R2' F2 R2 U' R2' F2' R2 (y') R2 U2 R2' U2 R21427
 (R2' U' R U2') (R' U R U) (R' U R2 U') (R' U2' R U2') (R' U' R)1924
BA -
1:144
BA-BAc-
y2(R2' F2 U') (R2 U2' R2' U2') (F2' R2 F2 U2' F2')1223
y(R2 U2 R2') (U R2 U2 R2') (U R2 U2' R2') (U' R2 U2' R2')1527
BA +
1:144
BA+BAc+
y'(R2' U2' R2) (F2 R2' U2' F2') U2' (F2 U' R2 F2')1223
 (R2 U2' R2') (U' R2 U2' R2') (U R2 U2 R2') (U R2 U2 R2')1527
BA a-
1:144
BAa-BAac-
y2(F2 R2' U F2') U2 (F2 U2 R2 F2') (R2' U2 R2)1223
y2(R2 U2' R2' U') (R2 U2' R2' U') (R2 U2 R2' U) (R2 U2 R2')1527
 (R2' D' R2) U2' (R2' D R2) U2' (R2' D' R2) U' (R2' D R2)1525
BA a+
1:144
BAa+BAac+
 (F2 U2 F2' R2' F2) (U2 R2 U2 R2') (U F2' R2)1223
y2(R2 U R2' U) (R2 U2' R2') (y') (R2' U2 R2 U2) (R2' U R2)1425
y2'(R2 U2 R2' U) (R2 U2 R2' U') (R2 U2' R2' U') (R2 U2' R2')1527
BA --
1:144
BA--BAc--
yF2 (R2 U' R U2') F2' U F2 (U R' U R2') F2'1320
yR' (U R2 U2' R) (U2 R2 U' R) (U R U R) (U2 R' U2' R')1723
BA ++
1:144
BA++BAc++
 (R2' F2' U F') U R2 U R2' U2' (F U' F2 R2)1320
 (R' U') (R' U' R U') (R' U' R U2) (R' U R2 U2) (R' U' R)1720
BA a--
1:144
BAa--BAac--
y2'R2' F2' U F' U2 R2 U' R2' U' F U' F2 R21320
y(R' U R U2') (R2' U' R U2') (R' U R U) (R' U R U) R1720
BA a++
1:144
BAa++BAac++
y'F2 (R2 U' R U') F2' U' F2 (U2 R' U R2') F2'1320
y(R U2 R U2') (R' U' R' U') (R' U R2' U2') (R' U2 R2' U') R1723
Inverses: BA --/BA a++ | BA -/BA a+ | BA o/BA ao | BA +/BA a- | BA ++/BA a--

Arrow cases:
AR o
1:144
ARoARco
y2'R2 (bR2' R2' U R2') U2' (R2 U' R2 bR2) (R U2' R2)1323
y'(R' bR' U) (R U' R' U') (R U' R' U) (bR U2 R U) (R' U2 R)1820
y2(R U2' R2' U2) (R U2' R U') (R' U2' R U') (R2' U2' R2 U2) R'1726
 
AR -
1:144
AR-ARc-
y'(R2 U2' R) F2 (R2 U' R2 U2') (R2' U R2') F2' R21323
y(R U R U) (R U R U) (R2 U' R' U') (R2 U2 R2 U2) (R' U' R')1924
AR +
1:144
AR+ARc+
y'(R' U2 R U2) (y') R' bR' (R U R' bR) U2 (R U R' U2) R1620
y(R2' U R2 U2) (R' U2 R' U) (R' U' R' U2') (R2 U2 R U) (R U' R2)1927
 
 
AR --
1:144
AR--ARc--
y(R U2 R' U) (R U2 F) (R' U R F') (R' U2 F U2) F'1620
y2(R2 U' R U) (R U2 R2 U2') (R' U' R' U) (R' U2 R' U2) (R2 U R2')1927
AR ++
1:144
AR++ARc++
y'(R' U2' bR') (U' R U R2) (U2' R2 U R) (U' R2 U2 R2) (bR U2 R)1826
y(R' U2 R U) (R' U R U') (R' U2 R U') (R U R' U) (R U2' R')1922
 
Inverses: self

Only CW edge cycles here because you can always AUF to this situation.

Page checked & updated 05/jun/2013.