sorted utils folder

69 files changed, 282 insertions, 0 deletions

diff --git a/utils/cubes/TRANSFORMATIONS.txt b/utils/cubes/TRANSFORMATIONS.txt
new file mode 100644
index 0000000..58446e8
--- /dev/null
+++ b/utils/cubes/TRANSFORMATIONS.txt
@@ -0,0 +1,23 @@
+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.
+
+For example, to apply the transformation RBm (mirrored RB) to a cube C:
+        1a. Apply a mirror along the M plane to the solved cube
+        1b. Rotate the mirrored cube with z' y2
+        3.  Apply the cube C to the transformed solved cube
+        4.  Apply the transformations of step 1a and 1b in reverse
+
+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/cubes/move_00_U.txt b/utils/cubes/move_00_U.txt
new file mode 100644
index 0000000..b5b36ad
--- /dev/null
+++ b/utils/cubes/move_00_U.txt
@@ -0,0 +1 @@
+UR0 UL0 DB0 DF0 UB0 UF0 DL0 DR0 FR0 FL0 BL0 BR0 UBR0 UFL0 DFL0 DBR0 UFR0 UBL0 DFR0 DBL0
diff --git a/utils/cubes/move_01_U2.txt b/utils/cubes/move_01_U2.txt
new file mode 100644
index 0000000..316ad57
--- /dev/null
+++ b/utils/cubes/move_01_U2.txt
@@ -0,0 +1 @@
+UB0 UF0 DB0 DF0 UL0 UR0 DL0 DR0 FR0 FL0 BL0 BR0 UBL0 UFR0 DFL0 DBR0 UBR0 UFL0 DFR0 DBL0
diff --git a/utils/cubes/move_02_U3.txt b/utils/cubes/move_02_U3.txt
new file mode 100644
index 0000000..7721ab5
--- /dev/null
+++ b/utils/cubes/move_02_U3.txt
@@ -0,0 +1 @@
+UL0 UR0 DB0 DF0 UF0 UB0 DL0 DR0 FR0 FL0 BL0 BR0 UFL0 UBR0 DFL0 DBR0 UBL0 UFR0 DFR0 DBL0
diff --git a/utils/cubes/move_03_D.txt b/utils/cubes/move_03_D.txt
new file mode 100644
index 0000000..cf4f816
--- /dev/null
+++ b/utils/cubes/move_03_D.txt
@@ -0,0 +1 @@
+UF0 UB0 DR0 DL0 UR0 UL0 DB0 DF0 FR0 FL0 BL0 BR0 UFR0 UBL0 DBL0 DFR0 UFL0 UBR0 DFL0 DBR0
diff --git a/utils/cubes/move_04_D2.txt b/utils/cubes/move_04_D2.txt
new file mode 100644
index 0000000..13b229e
--- /dev/null
+++ b/utils/cubes/move_04_D2.txt
@@ -0,0 +1 @@
+UF0 UB0 DF0 DB0 UR0 UL0 DR0 DL0 FR0 FL0 BL0 BR0 UFR0 UBL0 DBR0 DFL0 UFL0 UBR0 DBL0 DFR0
diff --git a/utils/cubes/move_05_D3.txt b/utils/cubes/move_05_D3.txt
new file mode 100644
index 0000000..2864f5b
--- /dev/null
+++ b/utils/cubes/move_05_D3.txt
@@ -0,0 +1 @@
+UF0 UB0 DL0 DR0 UR0 UL0 DF0 DB0 FR0 FL0 BL0 BR0 UFR0 UBL0 DFR0 DBL0 UFL0 UBR0 DBR0 DFL0
diff --git a/utils/cubes/move_06_R.txt b/utils/cubes/move_06_R.txt
new file mode 100644
index 0000000..8c8fcb3
--- /dev/null
+++ b/utils/cubes/move_06_R.txt
@@ -0,0 +1 @@
+UF0 UB0 DB0 DF0 FR0 UL0 DL0 BR0 DR0 FL0 BL0 UR0 DFR2 UBL0 DFL0 UBR2 UFL0 UFR1 DBR1 DBL0
diff --git a/utils/cubes/move_07_R2.txt b/utils/cubes/move_07_R2.txt
new file mode 100644
index 0000000..90765e2
--- /dev/null
+++ b/utils/cubes/move_07_R2.txt
@@ -0,0 +1 @@
+UF0 UB0 DB0 DF0 DR0 UL0 DL0 UR0 BR0 FL0 BL0 FR0 DBR0 UBL0 DFL0 UFR0 UFL0 DFR0 UBR0 DBL0
diff --git a/utils/cubes/move_08_R3.txt b/utils/cubes/move_08_R3.txt
new file mode 100644
index 0000000..d4abffc
--- /dev/null
+++ b/utils/cubes/move_08_R3.txt
@@ -0,0 +1 @@
+UF0 UB0 DB0 DF0 BR0 UL0 DL0 FR0 UR0 FL0 BL0 DR0 UBR2 UBL0 DFL0 DFR2 UFL0 DBR1 UFR1 DBL0
diff --git a/utils/cubes/move_09_L.txt b/utils/cubes/move_09_L.txt
new file mode 100644
index 0000000..0b0565c
--- /dev/null
+++ b/utils/cubes/move_09_L.txt
@@ -0,0 +1 @@
+UF0 UB0 DB0 DF0 UR0 BL0 FL0 DR0 FR0 UL0 DL0 BR0 UFR0 DBL2 UFL2 DBR0 UBL1 UBR0 DFR0 DFL1
diff --git a/utils/cubes/move_10_L2.txt b/utils/cubes/move_10_L2.txt
new file mode 100644
index 0000000..2498c87
--- /dev/null
+++ b/utils/cubes/move_10_L2.txt
@@ -0,0 +1 @@
+UF0 UB0 DB0 DF0 UR0 DL0 UL0 DR0 FR0 BL0 FL0 BR0 UFR0 DFL0 UBL0 DBR0 DBL0 UBR0 DFR0 UFL0
diff --git a/utils/cubes/move_11_L3.txt b/utils/cubes/move_11_L3.txt
new file mode 100644
index 0000000..2ac2912
--- /dev/null
+++ b/utils/cubes/move_11_L3.txt
@@ -0,0 +1 @@
+UF0 UB0 DB0 DF0 UR0 FL0 BL0 DR0 FR0 DL0 UL0 BR0 UFR0 UFL2 DBL2 DBR0 DFL1 UBR0 DFR0 UBL1
diff --git a/utils/cubes/move_12_F.txt b/utils/cubes/move_12_F.txt
new file mode 100644
index 0000000..e805af8
--- /dev/null
+++ b/utils/cubes/move_12_F.txt
@@ -0,0 +1 @@
+FL1 UB0 DB0 FR1 UR0 UL0 DL0 DR0 UF1 DF1 BL0 BR0 UFL1 UBL0 DFR1 DBR0 DFL2 UBR0 UFR2 DBL0
diff --git a/utils/cubes/move_13_F2.txt b/utils/cubes/move_13_F2.txt
new file mode 100644
index 0000000..8aa701f
--- /dev/null
+++ b/utils/cubes/move_13_F2.txt
@@ -0,0 +1 @@
+DF0 UB0 DB0 UF0 UR0 UL0 DL0 DR0 FL0 FR0 BL0 BR0 DFL0 UBL0 UFR0 DBR0 DFR0 UBR0 UFL0 DBL0
diff --git a/utils/cubes/move_14_F3.txt b/utils/cubes/move_14_F3.txt
new file mode 100644
index 0000000..40f1260
--- /dev/null
+++ b/utils/cubes/move_14_F3.txt
@@ -0,0 +1 @@
+FR1 UB0 DB0 FL1 UR0 UL0 DL0 DR0 DF1 UF1 BL0 BR0 DFR1 UBL0 UFL1 DBR0 UFR2 UBR0 DFL2 DBL0
diff --git a/utils/cubes/move_15_B.txt b/utils/cubes/move_15_B.txt
new file mode 100644
index 0000000..f7fb13c
--- /dev/null
+++ b/utils/cubes/move_15_B.txt
@@ -0,0 +1 @@
+UF0 BR1 BL1 DF0 UR0 UL0 DL0 DR0 FR0 FL0 UB1 DB1 UFR0 UBR1 DFL0 DBL1 UFL0 DBR2 DFR0 UBL2
diff --git a/utils/cubes/move_16_B2.txt b/utils/cubes/move_16_B2.txt
new file mode 100644
index 0000000..9b33e35
--- /dev/null
+++ b/utils/cubes/move_16_B2.txt
@@ -0,0 +1 @@
+UF0 DB0 UB0 DF0 UR0 UL0 DL0 DR0 FR0 FL0 BR0 BL0 UFR0 DBR0 DFL0 UBL0 UFL0 DBL0 DFR0 UBR0
diff --git a/utils/cubes/move_17_B3.txt b/utils/cubes/move_17_B3.txt
new file mode 100644
index 0000000..1367517
--- /dev/null
+++ b/utils/cubes/move_17_B3.txt
@@ -0,0 +1 @@
+UF0 BL1 BR1 DF0 UR0 UL0 DL0 DR0 FR0 FL0 DB1 UB1 UFR0 DBL1 DFL0 UBR1 UFL0 UBL2 DFR0 DBR2
diff --git a/utils/cubes/solved.txt b/utils/cubes/solved.txt
new file mode 100644
index 0000000..dff224d
--- /dev/null
+++ b/utils/cubes/solved.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/cubes/trans_move_array.txt b/utils/cubes/trans_move_array.txt
new file mode 100644
index 0000000..881ad0e
--- /dev/null
+++ b/utils/cubes/trans_move_array.txt
@@ -0,0 +1,192 @@
+[UFr] = {
+        .c = {0, 1, 2, 3, 4, 5, 6, 7},
+        .e = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11}
+},
+[ULr] = {
+        .c = {4, 5, 7, 6, 1, 0, 2, 3},
+        .e = {5, 4, 7, 6, 0, 1, 2, 3, 25, 26, 27, 24}
+},
+[UBr] = {
+        .c = {1, 0, 3, 2, 5, 4, 7, 6},
+        .e = {1, 0, 3, 2, 5, 4, 7, 6, 10, 11, 8, 9}
+},
+[URr] = {
+        .c = {5, 4, 6, 7, 0, 1, 3, 2},
+        .e = {4, 5, 6, 7, 1, 0, 3, 2, 27, 24, 25, 26}
+},
+[DFr] = {
+        .c = {2, 3, 0, 1, 6, 7, 4, 5},
+        .e = {3, 2, 1, 0, 6, 7, 4, 5, 9, 8, 11, 10}
+},
+[DLr] = {
+        .c = {7, 6, 4, 5, 2, 3, 1, 0},
+        .e = {6, 7, 4, 5, 2, 3, 0, 1, 26, 25, 24, 27}
+},
+[DBr] = {
+        .c = {3, 2, 1, 0, 7, 6, 5, 4},
+        .e = {2, 3, 0, 1, 7, 6, 5, 4, 11, 10, 9, 8}
+},
+[DRr] = {
+        .c = {6, 7, 5, 4, 3, 2, 0, 1},
+        .e = {7, 6, 5, 4, 3, 2, 1, 0, 24, 27, 26, 25}
+},
+[RUr] = {
+        .c = {64, 67, 65, 66, 37, 38, 36, 39},
+        .e = {20, 23, 22, 21, 24, 27, 26, 25, 0, 1, 2, 3}
+},
+[RFr] = {
+        .c = {38, 37, 36, 39, 64, 67, 66, 65},
+        .e = {24, 27, 26, 25, 23, 20, 21, 22, 19, 16, 17, 18}
+},
+[RDr] = {
+        .c = {67, 64, 66, 65, 38, 37, 39, 36},
+        .e = {23, 20, 21, 22, 27, 24, 25, 26, 2, 3, 0, 1}
+},
+[RBr] = {
+        .c = {37, 38, 39, 36, 67, 64, 65, 66},
+        .e = {27, 24, 25, 26, 20, 23, 22, 21, 17, 18, 19, 16}
+},
+[LUr] = {
+        .c = {65, 66, 64, 67, 36, 39, 37, 38},
+        .e = {21, 22, 23, 20, 26, 25, 24, 27, 1, 0, 3, 2}
+},
+[LFr] = {
+        .c = {36, 39, 38, 37, 66, 65, 64, 67},
+        .e = {25, 26, 27, 24, 21, 22, 23, 20, 16, 19, 18, 17}
+},
+[LDr] = {
+        .c = {66, 65, 67, 64, 39, 36, 38, 37},
+        .e = {22, 21, 20, 23, 25, 26, 27, 24, 3, 2, 1, 0}
+},
+[LBr] = {
+        .c = {39, 36, 37, 38, 65, 66, 67, 64},
+        .e = {26, 25, 24, 27, 22, 21, 20, 23, 18, 17, 16, 19}
+},
+[FUr] = {
+        .c = {68, 70, 69, 71, 32, 34, 33, 35},
+        .e = {16, 19, 18, 17, 9, 8, 11, 10, 5, 4, 7, 6}
+},
+[FRr] = {
+        .c = {32, 34, 35, 33, 70, 68, 69, 71},
+        .e = {8, 9, 10, 11, 16, 19, 18, 17, 20, 23, 22, 21}
+},
+[FDr] = {
+        .c = {70, 68, 71, 69, 34, 32, 35, 33},
+        .e = {19, 16, 17, 18, 8, 9, 10, 11, 7, 6, 5, 4}
+},
+[FLr] = {
+        .c = {34, 32, 33, 35, 68, 70, 71, 69},
+        .e = {9, 8, 11, 10, 19, 16, 17, 18, 22, 21, 20, 23}
+},
+[BUr] = {
+        .c = {69, 71, 68, 70, 33, 35, 32, 34},
+        .e = {17, 18, 19, 16, 11, 10, 9, 8, 4, 5, 6, 7}
+},
+[BRr] = {
+        .c = {35, 33, 32, 34, 69, 71, 70, 68},
+        .e = {11, 10, 9, 8, 18, 17, 16, 19, 23, 20, 21, 22}
+},
+[BDr] = {
+        .c = {71, 69, 70, 68, 35, 33, 34, 32},
+        .e = {18, 17, 16, 19, 10, 11, 8, 9, 6, 7, 4, 5}
+},
+[BLr] = {
+        .c = {33, 35, 34, 32, 71, 69, 68, 70},
+        .e = {10, 11, 8, 9, 17, 18, 19, 16, 21, 22, 23, 20}
+},
+[UFm] = {
+        .c = {4, 5, 6, 7, 0, 1, 2, 3},
+        .e = {0, 1, 2, 3, 5, 4, 7, 6, 9, 8, 11, 10}
+},
+[ULm] = {
+        .c = {0, 1, 3, 2, 5, 4, 6, 7},
+        .e = {4, 5, 6, 7, 0, 1, 2, 3, 24, 27, 26, 25}
+},
+[UBm] = {
+        .c = {5, 4, 7, 6, 1, 0, 3, 2},
+        .e = {1, 0, 3, 2, 4, 5, 6, 7, 11, 10, 9, 8}
+},
+[URm] = {
+        .c = {1, 0, 2, 3, 4, 5, 7, 6},
+        .e = {5, 4, 7, 6, 1, 0, 3, 2, 26, 25, 24, 27}
+},
+[DFm] = {
+        .c = {6, 7, 4, 5, 2, 3, 0, 1},
+        .e = {3, 2, 1, 0, 7, 6, 5, 4, 8, 9, 10, 11}
+},
+[DLm] = {
+        .c = {3, 2, 0, 1, 6, 7, 5, 4},
+        .e = {7, 6, 5, 4, 2, 3, 0, 1, 27, 24, 25, 26}
+},
+[DBm] = {
+        .c = {7, 6, 5, 4, 3, 2, 1, 0},
+        .e = {2, 3, 0, 1, 6, 7, 4, 5, 10, 11, 8, 9}
+},
+[DRm] = {
+        .c = {2, 3, 1, 0, 7, 6, 4, 5},
+        .e = {6, 7, 4, 5, 3, 2, 1, 0, 25, 26, 27, 24}
+},
+[RUm] = {
+        .c = {68, 71, 69, 70, 33, 34, 32, 35},
+        .e = {21, 22, 23, 20, 25, 26, 27, 24, 0, 1, 2, 3}
+},
+[RFm] = {
+        .c = {34, 33, 32, 35, 68, 71, 70, 69},
+        .e = {25, 26, 27, 24, 22, 21, 20, 23, 19, 16, 17, 18}
+},
+[RDm] = {
+        .c = {71, 68, 70, 69, 34, 33, 35, 32},
+        .e = {22, 21, 20, 23, 26, 25, 24, 27, 2, 3, 0, 1}
+},
+[RBm] = {
+        .c = {33, 34, 35, 32, 71, 68, 69, 70},
+        .e = {26, 25, 24, 27, 21, 22, 23, 20, 17, 18, 19, 16}
+},
+[LUm] = {
+        .c = {69, 70, 68, 71, 32, 35, 33, 34},
+        .e = {20, 23, 22, 21, 27, 24, 25, 26, 1, 0, 3, 2}
+},
+[LFm] = {
+        .c = {32, 35, 34, 33, 70, 69, 68, 71},
+        .e = {24, 27, 26, 25, 20, 23, 22, 21, 16, 19, 18, 17}
+},
+[LDm] = {
+        .c = {70, 69, 71, 68, 35, 32, 34, 33},
+        .e = {23, 20, 21, 22, 24, 27, 26, 25, 3, 2, 1, 0}
+},
+[LBm] = {
+        .c = {35, 32, 33, 34, 69, 70, 71, 68},
+        .e = {27, 24, 25, 26, 23, 20, 21, 22, 18, 17, 16, 19}
+},
+[FUm] = {
+        .c = {64, 66, 65, 67, 36, 38, 37, 39},
+        .e = {16, 19, 18, 17, 8, 9, 10, 11, 4, 5, 6, 7}
+},
+[FRm] = {
+        .c = {36, 38, 39, 37, 66, 64, 65, 67},
+        .e = {9, 8, 11, 10, 16, 19, 18, 17, 21, 22, 23, 20}
+},
+[FDm] = {
+        .c = {66, 64, 67, 65, 38, 36, 39, 37},
+        .e = {19, 16, 17, 18, 9, 8, 11, 10, 6, 7, 4, 5}
+},
+[FLm] = {
+        .c = {38, 36, 37, 39, 64, 66, 67, 65},
+        .e = {8, 9, 10, 11, 19, 16, 17, 18, 23, 20, 21, 22}
+},
+[BUm] = {
+        .c = {65, 67, 64, 66, 37, 39, 36, 38},
+        .e = {17, 18, 19, 16, 10, 11, 8, 9, 5, 4, 7, 6}
+},
+[BRm] = {
+        .c = {39, 37, 36, 38, 65, 67, 66, 64},
+        .e = {10, 11, 8, 9, 18, 17, 16, 19, 22, 21, 20, 23}
+},
+[BDm] = {
+        .c = {67, 65, 66, 64, 39, 37, 38, 36},
+        .e = {18, 17, 16, 19, 11, 10, 9, 8, 7, 6, 5, 4}
+},
+[BLm] = {
+        .c = {37, 39, 38, 36, 67, 65, 64, 66},
+        .e = {11, 10, 9, 8, 17, 18, 19, 16, 20, 23, 22, 21}
+},
diff --git a/utils/cubes/transform_00_UFr.txt b/utils/cubes/transform_00_UFr.txt
new file mode 100644
index 0000000..dff224d
--- /dev/null
+++ b/utils/cubes/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/cubes/transform_01_ULr.txt b/utils/cubes/transform_01_ULr.txt
new file mode 100644
index 0000000..4cfb17e
--- /dev/null
+++ b/utils/cubes/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/cubes/transform_02_UBr.txt b/utils/cubes/transform_02_UBr.txt
new file mode 100644
index 0000000..8c7eeb7
--- /dev/null
+++ b/utils/cubes/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/cubes/transform_03_URr.txt b/utils/cubes/transform_03_URr.txt
new file mode 100644
index 0000000..ac0e932
--- /dev/null
+++ b/utils/cubes/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/cubes/transform_04_DFr.txt b/utils/cubes/transform_04_DFr.txt
new file mode 100644
index 0000000..cdecc18
--- /dev/null
+++ b/utils/cubes/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/cubes/transform_05_DLr.txt b/utils/cubes/transform_05_DLr.txt
new file mode 100644
index 0000000..fffaa54
--- /dev/null
+++ b/utils/cubes/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/cubes/transform_06_DBr.txt b/utils/cubes/transform_06_DBr.txt
new file mode 100644
index 0000000..d2434fa
--- /dev/null
+++ b/utils/cubes/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/cubes/transform_07_DRr.txt b/utils/cubes/transform_07_DRr.txt
new file mode 100644
index 0000000..c03ba90
--- /dev/null
+++ b/utils/cubes/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/cubes/transform_08_RUr.txt b/utils/cubes/transform_08_RUr.txt
new file mode 100644
index 0000000..bcf6f8f
--- /dev/null
+++ b/utils/cubes/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/cubes/transform_09_RFr.txt b/utils/cubes/transform_09_RFr.txt
new file mode 100644
index 0000000..5c9b9b2
--- /dev/null
+++ b/utils/cubes/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/cubes/transform_10_RDr.txt b/utils/cubes/transform_10_RDr.txt
new file mode 100644
index 0000000..3cca372
--- /dev/null
+++ b/utils/cubes/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/cubes/transform_11_RBr.txt b/utils/cubes/transform_11_RBr.txt
new file mode 100644
index 0000000..9a43c45
--- /dev/null
+++ b/utils/cubes/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/cubes/transform_12_LUr.txt b/utils/cubes/transform_12_LUr.txt
new file mode 100644
index 0000000..90c964c
--- /dev/null
+++ b/utils/cubes/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/cubes/transform_13_LFr.txt b/utils/cubes/transform_13_LFr.txt
new file mode 100644
index 0000000..7c234e6
--- /dev/null
+++ b/utils/cubes/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/cubes/transform_14_LDr.txt b/utils/cubes/transform_14_LDr.txt
new file mode 100644
index 0000000..bd5f6f2
--- /dev/null
+++ b/utils/cubes/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/cubes/transform_15_LBr.txt b/utils/cubes/transform_15_LBr.txt
new file mode 100644
index 0000000..91755e0
--- /dev/null
+++ b/utils/cubes/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/cubes/transform_16_FUr.txt b/utils/cubes/transform_16_FUr.txt
new file mode 100644
index 0000000..25cc125
--- /dev/null
+++ b/utils/cubes/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/cubes/transform_17_FRr.txt b/utils/cubes/transform_17_FRr.txt
new file mode 100644
index 0000000..0c01df1
--- /dev/null
+++ b/utils/cubes/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/cubes/transform_18_FDr.txt b/utils/cubes/transform_18_FDr.txt
new file mode 100644
index 0000000..05f367f
--- /dev/null
+++ b/utils/cubes/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/cubes/transform_19_FLr.txt b/utils/cubes/transform_19_FLr.txt
new file mode 100644
index 0000000..20bf2b1
--- /dev/null
+++ b/utils/cubes/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/cubes/transform_20_BUr.txt b/utils/cubes/transform_20_BUr.txt
new file mode 100644
index 0000000..0d8200e
--- /dev/null
+++ b/utils/cubes/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/cubes/transform_21_BRr.txt b/utils/cubes/transform_21_BRr.txt
new file mode 100644
index 0000000..f4b3bb6
--- /dev/null
+++ b/utils/cubes/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/cubes/transform_22_BDr.txt b/utils/cubes/transform_22_BDr.txt
new file mode 100644
index 0000000..c1642e0
--- /dev/null
+++ b/utils/cubes/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/cubes/transform_23_BLr.txt b/utils/cubes/transform_23_BLr.txt
new file mode 100644
index 0000000..4394be6
--- /dev/null
+++ b/utils/cubes/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/cubes/transform_24_UFm.txt b/utils/cubes/transform_24_UFm.txt
new file mode 100644
index 0000000..7888e4b
--- /dev/null
+++ b/utils/cubes/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/cubes/transform_25_ULm.txt b/utils/cubes/transform_25_ULm.txt
new file mode 100644
index 0000000..0abeb75
--- /dev/null
+++ b/utils/cubes/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/cubes/transform_26_UBm.txt b/utils/cubes/transform_26_UBm.txt
new file mode 100644
index 0000000..0fba52a
--- /dev/null
+++ b/utils/cubes/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/cubes/transform_27_URm.txt b/utils/cubes/transform_27_URm.txt
new file mode 100644
index 0000000..49bce19
--- /dev/null
+++ b/utils/cubes/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/cubes/transform_28_DFm.txt b/utils/cubes/transform_28_DFm.txt
new file mode 100644
index 0000000..442aacd
--- /dev/null
+++ b/utils/cubes/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/cubes/transform_29_DLm.txt b/utils/cubes/transform_29_DLm.txt
new file mode 100644
index 0000000..d2cfc53
--- /dev/null
+++ b/utils/cubes/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/cubes/transform_30_DBm.txt b/utils/cubes/transform_30_DBm.txt
new file mode 100644
index 0000000..4d92a58
--- /dev/null
+++ b/utils/cubes/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/cubes/transform_31_DRm.txt b/utils/cubes/transform_31_DRm.txt
new file mode 100644
index 0000000..6774947
--- /dev/null
+++ b/utils/cubes/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/cubes/transform_32_RUm.txt b/utils/cubes/transform_32_RUm.txt
new file mode 100644
index 0000000..8ba9819
--- /dev/null
+++ b/utils/cubes/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/cubes/transform_33_RFm.txt b/utils/cubes/transform_33_RFm.txt
new file mode 100644
index 0000000..fb9434d
--- /dev/null
+++ b/utils/cubes/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/cubes/transform_34_RDm.txt b/utils/cubes/transform_34_RDm.txt
new file mode 100644
index 0000000..96cbee8
--- /dev/null
+++ b/utils/cubes/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/cubes/transform_35_RBm.txt b/utils/cubes/transform_35_RBm.txt
new file mode 100644
index 0000000..e57c13c
--- /dev/null
+++ b/utils/cubes/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/cubes/transform_36_LUm.txt b/utils/cubes/transform_36_LUm.txt
new file mode 100644
index 0000000..735768b
--- /dev/null
+++ b/utils/cubes/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/cubes/transform_37_LFm.txt b/utils/cubes/transform_37_LFm.txt
new file mode 100644
index 0000000..8ee4766
--- /dev/null
+++ b/utils/cubes/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/cubes/transform_38_LDm.txt b/utils/cubes/transform_38_LDm.txt
new file mode 100644
index 0000000..4b3f54b
--- /dev/null
+++ b/utils/cubes/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/cubes/transform_39_LBm.txt b/utils/cubes/transform_39_LBm.txt
new file mode 100644
index 0000000..3b98506
--- /dev/null
+++ b/utils/cubes/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/cubes/transform_40_FUm.txt b/utils/cubes/transform_40_FUm.txt
new file mode 100644
index 0000000..0c6484d
--- /dev/null
+++ b/utils/cubes/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/cubes/transform_41_FRm.txt b/utils/cubes/transform_41_FRm.txt
new file mode 100644
index 0000000..cc67b5b
--- /dev/null
+++ b/utils/cubes/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/cubes/transform_42_FDm.txt b/utils/cubes/transform_42_FDm.txt
new file mode 100644
index 0000000..c3d8b39
--- /dev/null
+++ b/utils/cubes/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/cubes/transform_43_FLm.txt b/utils/cubes/transform_43_FLm.txt
new file mode 100644
index 0000000..ae096e0
--- /dev/null
+++ b/utils/cubes/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/cubes/transform_44_BUm.txt b/utils/cubes/transform_44_BUm.txt
new file mode 100644
index 0000000..08d5683
--- /dev/null
+++ b/utils/cubes/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/cubes/transform_45_BRm.txt b/utils/cubes/transform_45_BRm.txt
new file mode 100644
index 0000000..167c62e
--- /dev/null
+++ b/utils/cubes/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/cubes/transform_46_BDm.txt b/utils/cubes/transform_46_BDm.txt
new file mode 100644
index 0000000..f5e56f2
--- /dev/null
+++ b/utils/cubes/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/cubes/transform_47_BLm.txt b/utils/cubes/transform_47_BLm.txt
new file mode 100644
index 0000000..02b2828
--- /dev/null
+++ b/utils/cubes/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