70 files changed, 69 insertions, 2 deletions

diff --git a/README.md b/README.md
index 0b070a0..6da2e76 100644
--- a/README.md
+++ b/README.md
@@ -4,7 +4,6 @@ Work in progress.
 
 TODO:
 
-* finish second half of transformations
 * implement writecubesrc() to make it easy to implement transformations
 * implement transformations
 * setup benchmarks
diff --git a/src/constants.h b/src/constants.h
index b2b1b77..54152bc 100644
--- a/src/constants.h
+++ b/src/constants.h
@@ -36,7 +36,7 @@
 #define LDr 14
 #define LBr 15
 #define FUr 16
-#define FRr 16
+#define FRr 17
 #define FDr 18
 #define FLr 19
 #define BUr 20
diff --git a/utils/TRANSFORMATIONS.txt b/utils/TRANSFORMATIONS.txt
new file mode 100644
index 0000000..6ff6946
--- /dev/null
+++ b/utils/TRANSFORMATIONS.txt
@@ -0,0 +1,17 @@
+Transformations can be either simple rotations or a rotation composed
+with a mirroring.
+
+Simple rotations are denoted by two letters corresponding to the faces
+to be moved to the U and F positions, respectively. For example FD is
+the rotation that brings the F face on top and the D face on front.
+
+A composed rotation + mirror is obtained by applying the corresponding
+rotation to the solved cube mirrored along the M plane.
+
+The orientation of pieces after a rotation ignores the new position
+of centers.  A rotated cube can technically be inconsistent, because
+the parity of the edge permutation has to be adjusted considering the
+parity of the centers, which we ignore.
+
+The utility script mirror.sh transforms a solved, rotated cube to its
+mirrored and rotated version.
diff --git a/utils/mirror.sh b/utils/mirror.sh
new file mode 100755
index 0000000..57b02d1
--- /dev/null
+++ b/utils/mirror.sh
@@ -0,0 +1,3 @@
+#!/bin/sh
+
+sed 's/R/l/g ; s/L/R/g ; s/l/L/g'
diff --git a/utils/move_U.txt b/utils/move_00_U.txt
index b5b36ad..b5b36ad 100644
--- a/utils/move_U.txt
+++ b/utils/move_00_U.txt
diff --git a/utils/move_U2.txt b/utils/move_01_U2.txt
index 316ad57..316ad57 100644
--- a/utils/move_U2.txt
+++ b/utils/move_01_U2.txt
diff --git a/utils/move_U3.txt b/utils/move_02_U3.txt
index 7721ab5..7721ab5 100644
--- a/utils/move_U3.txt
+++ b/utils/move_02_U3.txt
diff --git a/utils/move_D.txt b/utils/move_03_D.txt
index cf4f816..cf4f816 100644
--- a/utils/move_D.txt
+++ b/utils/move_03_D.txt
diff --git a/utils/move_D2.txt b/utils/move_04_D2.txt
index 13b229e..13b229e 100644
--- a/utils/move_D2.txt
+++ b/utils/move_04_D2.txt
diff --git a/utils/move_D3.txt b/utils/move_05_D3.txt
index 2864f5b..2864f5b 100644
--- a/utils/move_D3.txt
+++ b/utils/move_05_D3.txt
diff --git a/utils/move_R.txt b/utils/move_06_R.txt
index 8c8fcb3..8c8fcb3 100644
--- a/utils/move_R.txt
+++ b/utils/move_06_R.txt
diff --git a/utils/move_R2.txt b/utils/move_07_R2.txt
index 90765e2..90765e2 100644
--- a/utils/move_R2.txt
+++ b/utils/move_07_R2.txt
diff --git a/utils/move_R3.txt b/utils/move_08_R3.txt
index d4abffc..d4abffc 100644
--- a/utils/move_R3.txt
+++ b/utils/move_08_R3.txt
diff --git a/utils/move_L.txt b/utils/move_09_L.txt
index 0b0565c..0b0565c 100644
--- a/utils/move_L.txt
+++ b/utils/move_09_L.txt
diff --git a/utils/move_L2.txt b/utils/move_10_L2.txt
index 2498c87..2498c87 100644
--- a/utils/move_L2.txt
+++ b/utils/move_10_L2.txt
diff --git a/utils/move_L3.txt b/utils/move_11_L3.txt
index 2ac2912..2ac2912 100644
--- a/utils/move_L3.txt
+++ b/utils/move_11_L3.txt
diff --git a/utils/move_F.txt b/utils/move_12_F.txt
index e805af8..e805af8 100644
--- a/utils/move_F.txt
+++ b/utils/move_12_F.txt
diff --git a/utils/move_F2.txt b/utils/move_13_F2.txt
index 8aa701f..8aa701f 100644
--- a/utils/move_F2.txt
+++ b/utils/move_13_F2.txt
diff --git a/utils/move_F3.txt b/utils/move_14_F3.txt
index 40f1260..40f1260 100644
--- a/utils/move_F3.txt
+++ b/utils/move_14_F3.txt
diff --git a/utils/move_B.txt b/utils/move_15_B.txt
index f7fb13c..f7fb13c 100644
--- a/utils/move_B.txt
+++ b/utils/move_15_B.txt
diff --git a/utils/move_B2.txt b/utils/move_16_B2.txt
index 9b33e35..9b33e35 100644
--- a/utils/move_B2.txt
+++ b/utils/move_16_B2.txt
diff --git a/utils/move_B3.txt b/utils/move_17_B3.txt
index 1367517..1367517 100644
--- a/utils/move_B3.txt
+++ b/utils/move_17_B3.txt
diff --git a/utils/transform_00_UFr.txt b/utils/transform_00_UFr.txt
new file mode 100644
index 0000000..dff224d
--- /dev/null
+++ b/utils/transform_00_UFr.txt
@@ -0,0 +1 @@
+UF0 UB0 DB0 DF0 UR0 UL0 DL0 DR0 FR0 FL0 BL0 BR0 UFR0 UBL0 DFL0 DBR0 UFL0 UBR0 DFR0 DBL0
diff --git a/utils/transform_01_ULr.txt b/utils/transform_01_ULr.txt
new file mode 100644
index 0000000..4cfb17e
--- /dev/null
+++ b/utils/transform_01_ULr.txt
@@ -0,0 +1 @@
+UL0 UR0 DR0 DL0 UF0 UB0 DB0 DF0 FL1 BL1 BR1 FR1 UFL0 UBR0 DBL0 DFR0 UBL0 UFR0 DFL0 DBR0
diff --git a/utils/transform_02_UBr.txt b/utils/transform_02_UBr.txt
new file mode 100644
index 0000000..8c7eeb7
--- /dev/null
+++ b/utils/transform_02_UBr.txt
@@ -0,0 +1 @@
+UB0 UF0 DF0 DB0 UL0 UR0 DR0 DL0 BL0 BR0 FR0 FL0 UBL0 UFR0 DBR0 DFL0 UBR0 UFL0 DBL0 DFR0
diff --git a/utils/transform_03_URr.txt b/utils/transform_03_URr.txt
new file mode 100644
index 0000000..ac0e932
--- /dev/null
+++ b/utils/transform_03_URr.txt
@@ -0,0 +1 @@
+UR0 UL0 DL0 DR0 UB0 UF0 DF0 DB0 BR1 FR1 FL1 BL1 UBR0 UFL0 DFR0 DBL0 UFR0 UBL0 DBR0 DFL0
diff --git a/utils/transform_04_DFr.txt b/utils/transform_04_DFr.txt
new file mode 100644
index 0000000..cdecc18
--- /dev/null
+++ b/utils/transform_04_DFr.txt
@@ -0,0 +1 @@
+DF0 DB0 UB0 UF0 DL0 DR0 UR0 UL0 FL0 FR0 BR0 BL0 DFL0 DBR0 UFR0 UBL0 DFR0 DBL0 UFL0 UBR0
diff --git a/utils/transform_05_DLr.txt b/utils/transform_05_DLr.txt
new file mode 100644
index 0000000..fffaa54
--- /dev/null
+++ b/utils/transform_05_DLr.txt
@@ -0,0 +1 @@
+DL0 DR0 UR0 UL0 DB0 DF0 UF0 UB0 BL1 FL1 FR1 BR1 DBL0 DFR0 UFL0 UBR0 DFL0 DBR0 UBL0 UFR0
diff --git a/utils/transform_06_DBr.txt b/utils/transform_06_DBr.txt
new file mode 100644
index 0000000..d2434fa
--- /dev/null
+++ b/utils/transform_06_DBr.txt
@@ -0,0 +1 @@
+DB0 DF0 UF0 UB0 DR0 DL0 UL0 UR0 BR0 BL0 FL0 FR0 DBR0 DFL0 UBL0 UFR0 DBL0 DFR0 UBR0 UFL0
diff --git a/utils/transform_07_DRr.txt b/utils/transform_07_DRr.txt
new file mode 100644
index 0000000..c03ba90
--- /dev/null
+++ b/utils/transform_07_DRr.txt
@@ -0,0 +1 @@
+DR0 DL0 UL0 UR0 DF0 DB0 UB0 UF0 FR1 BR1 BL1 FL1 DFR0 DBL0 UBR0 UFL0 DBR0 DFL0 UFR0 UBL0
diff --git a/utils/transform_08_RUr.txt b/utils/transform_08_RUr.txt
new file mode 100644
index 0000000..bcf6f8f
--- /dev/null
+++ b/utils/transform_08_RUr.txt
@@ -0,0 +1 @@
+UR1 DR1 DL1 UL1 FR1 BR1 BL1 FL1 UF0 UB0 DB0 DF0 UFR2 DBR2 UBL2 DFL2 UBR1 DFR1 UFL1 DBL1
diff --git a/utils/transform_09_RFr.txt b/utils/transform_09_RFr.txt
new file mode 100644
index 0000000..5c9b9b2
--- /dev/null
+++ b/utils/transform_09_RFr.txt
@@ -0,0 +1 @@
+FR1 BR1 BL1 FL1 DR1 UR1 UL1 DL1 DF1 UF1 UB1 DB1 DFR1 UBR1 UFL1 DBL1 UFR2 DBR2 DFL2 UBL2
diff --git a/utils/transform_10_RDr.txt b/utils/transform_10_RDr.txt
new file mode 100644
index 0000000..3cca372
--- /dev/null
+++ b/utils/transform_10_RDr.txt
@@ -0,0 +1 @@
+DR1 UR1 UL1 DL1 BR1 FR1 FL1 BL1 DB0 DF0 UF0 UB0 DBR2 UFR2 DFL2 UBL2 DFR1 UBR1 DBL1 UFL1
diff --git a/utils/transform_11_RBr.txt b/utils/transform_11_RBr.txt
new file mode 100644
index 0000000..9a43c45
--- /dev/null
+++ b/utils/transform_11_RBr.txt
@@ -0,0 +1 @@
+BR1 FR1 FL1 BL1 UR1 DR1 DL1 UL1 UB1 DB1 DF1 UF1 UBR1 DFR1 DBL1 UFL1 DBR2 UFR2 UBL2 DFL2
diff --git a/utils/transform_12_LUr.txt b/utils/transform_12_LUr.txt
new file mode 100644
index 0000000..90c964c
--- /dev/null
+++ b/utils/transform_12_LUr.txt
@@ -0,0 +1 @@
+UL1 DL1 DR1 UR1 BL1 FL1 FR1 BR1 UB0 UF0 DF0 DB0 UBL2 DFL2 UFR2 DBR2 UFL1 DBL1 UBR1 DFR1
diff --git a/utils/transform_13_LFr.txt b/utils/transform_13_LFr.txt
new file mode 100644
index 0000000..7c234e6
--- /dev/null
+++ b/utils/transform_13_LFr.txt
@@ -0,0 +1 @@
+FL1 BL1 BR1 FR1 UL1 DL1 DR1 UR1 UF1 DF1 DB1 UB1 UFL1 DBL1 DFR1 UBR1 DFL2 UBL2 UFR2 DBR2
diff --git a/utils/transform_14_LDr.txt b/utils/transform_14_LDr.txt
new file mode 100644
index 0000000..bd5f6f2
--- /dev/null
+++ b/utils/transform_14_LDr.txt
@@ -0,0 +1 @@
+DL1 UL1 UR1 DR1 FL1 BL1 BR1 FR1 DF0 DB0 UB0 UF0 DFL2 UBL2 DBR2 UFR2 DBL1 UFL1 DFR1 UBR1
diff --git a/utils/transform_15_LBr.txt b/utils/transform_15_LBr.txt
new file mode 100644
index 0000000..91755e0
--- /dev/null
+++ b/utils/transform_15_LBr.txt
@@ -0,0 +1 @@
+BL1 FL1 FR1 BR1 DL1 UL1 UR1 DR1 DB1 UB1 UF1 DF1 DBL1 UFL1 UBR1 DFR1 UBL2 DFL2 DBR2 UFR2
diff --git a/utils/transform_16_FUr.txt b/utils/transform_16_FUr.txt
new file mode 100644
index 0000000..25cc125
--- /dev/null
+++ b/utils/transform_16_FUr.txt
@@ -0,0 +1 @@
+UF1 DF1 DB1 UB1 FL0 FR0 BR0 BL0 UL0 UR0 DR0 DL0 UFL2 DFR2 UBR2 DBL2 UFR1 DFL1 UBL1 DBR1
diff --git a/utils/transform_17_FRr.txt b/utils/transform_17_FRr.txt
new file mode 100644
index 0000000..0c01df1
--- /dev/null
+++ b/utils/transform_17_FRr.txt
@@ -0,0 +1 @@
+FR0 FL0 BL0 BR0 UF1 DF1 DB1 UB1 UR1 DR1 DL1 UL1 UFR1 DFL1 DBR1 UBL1 DFR2 UFL2 UBR2 DBL2
diff --git a/utils/transform_18_FDr.txt b/utils/transform_18_FDr.txt
new file mode 100644
index 0000000..05f367f
--- /dev/null
+++ b/utils/transform_18_FDr.txt
@@ -0,0 +1 @@
+DF1 UF1 UB1 DB1 FR0 FL0 BL0 BR0 DR0 DL0 UL0 UR0 DFR2 UFL2 DBL2 UBR2 DFL1 UFR1 DBR1 UBL1
diff --git a/utils/transform_19_FLr.txt b/utils/transform_19_FLr.txt
new file mode 100644
index 0000000..20bf2b1
--- /dev/null
+++ b/utils/transform_19_FLr.txt
@@ -0,0 +1 @@
+FL0 FR0 BR0 BL0 DF1 UF1 UB1 DB1 DL1 UL1 UR1 DR1 DFL1 UFR1 UBL1 DBR1 UFL2 DFR2 DBL2 UBR2
diff --git a/utils/transform_20_BUr.txt b/utils/transform_20_BUr.txt
new file mode 100644
index 0000000..0d8200e
--- /dev/null
+++ b/utils/transform_20_BUr.txt
@@ -0,0 +1 @@
+UB1 DB1 DF1 UF1 BR0 BL0 FL0 FR0 UR0 UL0 DL0 DR0 UBR2 DBL2 UFL2 DFR2 UBL1 DBR1 UFR1 DFL1
diff --git a/utils/transform_21_BRr.txt b/utils/transform_21_BRr.txt
new file mode 100644
index 0000000..f4b3bb6
--- /dev/null
+++ b/utils/transform_21_BRr.txt
@@ -0,0 +1 @@
+BR0 BL0 FL0 FR0 DB1 UB1 UF1 DF1 DR1 UR1 UL1 DL1 DBR1 UBL1 UFR1 DFL1 UBR2 DBL2 DFR2 UFL2
diff --git a/utils/transform_22_BDr.txt b/utils/transform_22_BDr.txt
new file mode 100644
index 0000000..c1642e0
--- /dev/null
+++ b/utils/transform_22_BDr.txt
@@ -0,0 +1 @@
+DB1 UB1 UF1 DF1 BL0 BR0 FR0 FL0 DL0 DR0 UR0 UL0 DBL2 UBR2 DFR2 UFL2 DBR1 UBL1 DFL1 UFR1
diff --git a/utils/transform_23_BLr.txt b/utils/transform_23_BLr.txt
new file mode 100644
index 0000000..4394be6
--- /dev/null
+++ b/utils/transform_23_BLr.txt
@@ -0,0 +1 @@
+BL0 BR0 FR0 FL0 UB1 DB1 DF1 UF1 UL1 DL1 DR1 UR1 UBL1 DBR1 DFL1 UFR1 DBL2 UBR2 UFL2 DFR2
diff --git a/utils/transform_24_UFm.txt b/utils/transform_24_UFm.txt
new file mode 100644
index 0000000..7888e4b
--- /dev/null
+++ b/utils/transform_24_UFm.txt
@@ -0,0 +1 @@
+UF0 UB0 DB0 DF0 UL0 UR0 DR0 DL0 FL0 FR0 BR0 BL0 UFL0 UBR0 DFR0 DBL0 UFR0 UBL0 DFL0 DBR0
diff --git a/utils/transform_25_ULm.txt b/utils/transform_25_ULm.txt
new file mode 100644
index 0000000..0abeb75
--- /dev/null
+++ b/utils/transform_25_ULm.txt
@@ -0,0 +1 @@
+UR0 UL0 DL0 DR0 UF0 UB0 DB0 DF0 FR1 BR1 BL1 FL1 UFR0 UBL0 DBR0 DFL0 UBR0 UFL0 DFR0 DBL0
diff --git a/utils/transform_26_UBm.txt b/utils/transform_26_UBm.txt
new file mode 100644
index 0000000..0fba52a
--- /dev/null
+++ b/utils/transform_26_UBm.txt
@@ -0,0 +1 @@
+UB0 UF0 DF0 DB0 UR0 UL0 DL0 DR0 BR0 BL0 FL0 FR0 UBR0 UFL0 DBL0 DFR0 UBL0 UFR0 DBR0 DFL0
diff --git a/utils/transform_27_URm.txt b/utils/transform_27_URm.txt
new file mode 100644
index 0000000..49bce19
--- /dev/null
+++ b/utils/transform_27_URm.txt
@@ -0,0 +1 @@
+UL0 UR0 DR0 DL0 UB0 UF0 DF0 DB0 BL1 FL1 FR1 BR1 UBL0 UFR0 DFL0 DBR0 UFL0 UBR0 DBL0 DFR0
diff --git a/utils/transform_28_DFm.txt b/utils/transform_28_DFm.txt
new file mode 100644
index 0000000..442aacd
--- /dev/null
+++ b/utils/transform_28_DFm.txt
@@ -0,0 +1 @@
+DF0 DB0 UB0 UF0 DR0 DL0 UL0 UR0 FR0 FL0 BL0 BR0 DFR0 DBL0 UFL0 UBR0 DFL0 DBR0 UFR0 UBL0
diff --git a/utils/transform_29_DLm.txt b/utils/transform_29_DLm.txt
new file mode 100644
index 0000000..d2cfc53
--- /dev/null
+++ b/utils/transform_29_DLm.txt
@@ -0,0 +1 @@
+DR0 DL0 UL0 UR0 DB0 DF0 UF0 UB0 BR1 FR1 FL1 BL1 DBR0 DFL0 UFR0 UBL0 DFR0 DBL0 UBR0 UFL0
diff --git a/utils/transform_30_DBm.txt b/utils/transform_30_DBm.txt
new file mode 100644
index 0000000..4d92a58
--- /dev/null
+++ b/utils/transform_30_DBm.txt
@@ -0,0 +1 @@
+DB0 DF0 UF0 UB0 DL0 DR0 UR0 UL0 BL0 BR0 FR0 FL0 DBL0 DFR0 UBR0 UFL0 DBR0 DFL0 UBL0 UFR0
diff --git a/utils/transform_31_DRm.txt b/utils/transform_31_DRm.txt
new file mode 100644
index 0000000..6774947
--- /dev/null
+++ b/utils/transform_31_DRm.txt
@@ -0,0 +1 @@
+DL0 DR0 UR0 UL0 DF0 DB0 UB0 UF0 FL1 BL1 BR1 FR1 DFL0 DBR0 UBL0 UFR0 DBL0 DFR0 UFL0 UBR0
diff --git a/utils/transform_32_RUm.txt b/utils/transform_32_RUm.txt
new file mode 100644
index 0000000..8ba9819
--- /dev/null
+++ b/utils/transform_32_RUm.txt
@@ -0,0 +1 @@
+UL1 DL1 DR1 UR1 FL1 BL1 BR1 FR1 UF0 UB0 DB0 DF0 UFL2 DBL2 UBR2 DFR2 UBL1 DFL1 UFR1 DBR1
diff --git a/utils/transform_33_RFm.txt b/utils/transform_33_RFm.txt
new file mode 100644
index 0000000..fb9434d
--- /dev/null
+++ b/utils/transform_33_RFm.txt
@@ -0,0 +1 @@
+FL1 BL1 BR1 FR1 DL1 UL1 UR1 DR1 DF1 UF1 UB1 DB1 DFL1 UBL1 UFR1 DBR1 UFL2 DBL2 DFR2 UBR2
diff --git a/utils/transform_34_RDm.txt b/utils/transform_34_RDm.txt
new file mode 100644
index 0000000..96cbee8
--- /dev/null
+++ b/utils/transform_34_RDm.txt
@@ -0,0 +1 @@
+DL1 UL1 UR1 DR1 BL1 FL1 FR1 BR1 DB0 DF0 UF0 UB0 DBL2 UFL2 DFR2 UBR2 DFL1 UBL1 DBR1 UFR1
diff --git a/utils/transform_35_RBm.txt b/utils/transform_35_RBm.txt
new file mode 100644
index 0000000..e57c13c
--- /dev/null
+++ b/utils/transform_35_RBm.txt
@@ -0,0 +1 @@
+BL1 FL1 FR1 BR1 UL1 DL1 DR1 UR1 UB1 DB1 DF1 UF1 UBL1 DFL1 DBR1 UFR1 DBL2 UFL2 UBR2 DFR2
diff --git a/utils/transform_36_LUm.txt b/utils/transform_36_LUm.txt
new file mode 100644
index 0000000..735768b
--- /dev/null
+++ b/utils/transform_36_LUm.txt
@@ -0,0 +1 @@
+UR1 DR1 DL1 UL1 BR1 FR1 FL1 BL1 UB0 UF0 DF0 DB0 UBR2 DFR2 UFL2 DBL2 UFR1 DBR1 UBL1 DFL1
diff --git a/utils/transform_37_LFm.txt b/utils/transform_37_LFm.txt
new file mode 100644
index 0000000..8ee4766
--- /dev/null
+++ b/utils/transform_37_LFm.txt
@@ -0,0 +1 @@
+FR1 BR1 BL1 FL1 UR1 DR1 DL1 UL1 UF1 DF1 DB1 UB1 UFR1 DBR1 DFL1 UBL1 DFR2 UBR2 UFL2 DBL2
diff --git a/utils/transform_38_LDm.txt b/utils/transform_38_LDm.txt
new file mode 100644
index 0000000..4b3f54b
--- /dev/null
+++ b/utils/transform_38_LDm.txt
@@ -0,0 +1 @@
+DR1 UR1 UL1 DL1 FR1 BR1 BL1 FL1 DF0 DB0 UB0 UF0 DFR2 UBR2 DBL2 UFL2 DBR1 UFR1 DFL1 UBL1
diff --git a/utils/transform_39_LBm.txt b/utils/transform_39_LBm.txt
new file mode 100644
index 0000000..3b98506
--- /dev/null
+++ b/utils/transform_39_LBm.txt
@@ -0,0 +1 @@
+BR1 FR1 FL1 BL1 DR1 UR1 UL1 DL1 DB1 UB1 UF1 DF1 DBR1 UFR1 UBL1 DFL1 UBR2 DFR2 DBL2 UFL2
diff --git a/utils/transform_40_FUm.txt b/utils/transform_40_FUm.txt
new file mode 100644
index 0000000..0c6484d
--- /dev/null
+++ b/utils/transform_40_FUm.txt
@@ -0,0 +1 @@
+UF1 DF1 DB1 UB1 FR0 FL0 BL0 BR0 UR0 UL0 DL0 DR0 UFR2 DFL2 UBL2 DBR2 UFL1 DFR1 UBR1 DBL1
diff --git a/utils/transform_41_FRm.txt b/utils/transform_41_FRm.txt
new file mode 100644
index 0000000..cc67b5b
--- /dev/null
+++ b/utils/transform_41_FRm.txt
@@ -0,0 +1 @@
+FL0 FR0 BR0 BL0 UF1 DF1 DB1 UB1 UL1 DL1 DR1 UR1 UFL1 DFR1 DBL1 UBR1 DFL2 UFR2 UBL2 DBR2
diff --git a/utils/transform_42_FDm.txt b/utils/transform_42_FDm.txt
new file mode 100644
index 0000000..c3d8b39
--- /dev/null
+++ b/utils/transform_42_FDm.txt
@@ -0,0 +1 @@
+DF1 UF1 UB1 DB1 FL0 FR0 BR0 BL0 DL0 DR0 UR0 UL0 DFL2 UFR2 DBR2 UBL2 DFR1 UFL1 DBL1 UBR1
diff --git a/utils/transform_43_FLm.txt b/utils/transform_43_FLm.txt
new file mode 100644
index 0000000..ae096e0
--- /dev/null
+++ b/utils/transform_43_FLm.txt
@@ -0,0 +1 @@
+FR0 FL0 BL0 BR0 DF1 UF1 UB1 DB1 DR1 UR1 UL1 DL1 DFR1 UFL1 UBR1 DBL1 UFR2 DFL2 DBR2 UBL2
diff --git a/utils/transform_44_BUm.txt b/utils/transform_44_BUm.txt
new file mode 100644
index 0000000..08d5683
--- /dev/null
+++ b/utils/transform_44_BUm.txt
@@ -0,0 +1 @@
+UB1 DB1 DF1 UF1 BL0 BR0 FR0 FL0 UL0 UR0 DR0 DL0 UBL2 DBR2 UFR2 DFL2 UBR1 DBL1 UFL1 DFR1
diff --git a/utils/transform_45_BRm.txt b/utils/transform_45_BRm.txt
new file mode 100644
index 0000000..167c62e
--- /dev/null
+++ b/utils/transform_45_BRm.txt
@@ -0,0 +1 @@
+BL0 BR0 FR0 FL0 DB1 UB1 UF1 DF1 DL1 UL1 UR1 DR1 DBL1 UBR1 UFL1 DFR1 UBL2 DBR2 DFL2 UFR2
diff --git a/utils/transform_46_BDm.txt b/utils/transform_46_BDm.txt
new file mode 100644
index 0000000..f5e56f2
--- /dev/null
+++ b/utils/transform_46_BDm.txt
@@ -0,0 +1 @@
+DB1 UB1 UF1 DF1 BR0 BL0 FL0 FR0 DR0 DL0 UL0 UR0 DBR2 UBL2 DFL2 UFR2 DBL1 UBR1 DFR1 UFL1
diff --git a/utils/transform_47_BLm.txt b/utils/transform_47_BLm.txt
new file mode 100644
index 0000000..02b2828
--- /dev/null
+++ b/utils/transform_47_BLm.txt
@@ -0,0 +1 @@
+BR0 BL0 FL0 FR0 UB1 DB1 DF1 UF1 UR1 DR1 DL1 UL1 UBR1 DBL1 DFR1 UFL1 DBR2 UBL2 UFR2 DFL2