A Collection of Algorithms

[jackersp]

with the case above you can use the 5x5 edge parity alg for this

R2 B2 U2 L U2 R' U2 R U2 F2 R F2 L' B2 R2

its not the efficient but it works

 

[1973486]

with the case above you can use the 5x5 edge parity alg for this

R2 B2 U2 L U2 R' U2 R U2 F2 R F2 L' B2 R2

its not the efficient but it works

I prefer L F' L2 B L' F' D2 L B2 R B2 L' F2 L2 B'. Definitely the best for OLL

 

[obelisk477]

Nice V-perm:

x' R' F R F' U R U2 R' U' R U' R' U2 R U R' U' x

 

[guysensei1]

Nice V-perm:

x R' F R F' U R U2 R' U' R U' R' U2 R U R' U' x'

Oh dayum i might switch to this for OH
EDIT: I think this f/b mirror is better

R U' R' U x U' R' U2 R U R' U R U2 R' U' R U

 

[Daniel Lin]

some silly r perm i found, prob useless

D' R U R U R' D R U' R' U' R D' R2 D R

 

[xyzzy]

ZBLL L 72 (opposite corners twisted), pseudo-2-gen

r u' R2 u r' U2 r u' R2 u r'

Or a cyclic shift to twist UFL and DRB : (r' U2 r u' R2 u)2

 

[AlphaSheep]

Silly E perm I found: x' U' R U L' U' R' U r2 U R' U' L' U R U'

I think this f/b mirror is better

R U' R' U x U' R' U2 R U R' U R U2 R' U' R U

Wow... Thats going to be my new V perm alg for sure...

 

[Will Faust]

I made a nice ja perm that is exactly like square one jb perm (the r2s are like slashes and the U moves are like 3,0 and -3,0 and the D moves are like 0,3 and 0, -3:
r2 U D' r2 U' r2 D r2 D' r2 D r2

 

[DELToS]

I accidentally invented an algorithm that does an H-Perm on the D and U layer, while experimenting to see if I even could:
R2 (U D') R2 (U' D) R2 (U2 D2) R2 (U' D) R2 (U D') R2

 

[Rpotts]

Yea or you could just do M2 U2 M2 y M2 U2 M2

 

[DELToS]

Yea or you could just do M2 U2 M2 y M2 U2 M2

Yeah, but that doesn't look as cool

 

[EpiCuber7]

A perm I found yesterday: r2 U r2' U' r2 U' D r2' U' r2 U r2' D'

 

[xyzzy]

W perm (actually from the parity wiki and attributed to Clement Gallet; do other people use this?)
R2' Uw2' F2 R2 Uw2' (regrip) F2 R2 U' R2' F2 R2 U' (regrip) F2 Uw2'

I used to use the alg that was an <M,U> U perm cancelled into 2R2 U2 2R2 Uw2 2R2 Uw2, but I didn't like all the slice moves. (For the same reason, I just do O perms with <R,U> Z perm + parity now.)

 

[AlphaSheep]

I made a nice ja perm that is exactly like square one jb perm (the r2s are like slashes and the U moves are like 3,0 and -3,0 and the D moves are like 0,3 and 0, -3:
r2 U D' r2 U' r2 D r2 D' r2 D r2

I use R2 U' D R2 U' R2 U R2 D' R2 U R2 as a PLL on the Domino cube (3x3x2)

A perm I found yesterday: r2 U r2' U' r2 U' D r2' U' r2 U r2' D'

This is my A perm on the Domino cube. If you switch the r2s For R2s, you get the T perm I use, which I even used on in standard 3x3 for a long time. I still use a modified version of this on 2x2 for adjacent swaps:
R2 U R2 U' R2 y' R2 U' R2 U R2

 

[xyzzy]

Spoiler: 6×6×6 last two bars

case 0
case 1
case 2
case 3
case 4
case 5
case 6
case 7
case 8
case 9
case 10
case 11
case 12
case 13
case 14
case 15
case 16
case 17
case 18
case 19
case 20
case 21
case 22
case 23
case 24
case 25
case 26
case 27
case 28
case 29
case 30
case 31
case 32
case 33
case 34
case 35
case 36
case 37
case 38
case 39
case 40
case 41
case 42
case 43
case 44
case 45
case 46
case 47
case 48
case 49
case 50
case 51
case 52
case 53
case 54
case 55
case 56
case 57
case 58
case 59
case 60
case 61
case 62
case 63
case 64
case 65
case 66
case 67
case 68
case 69
case 70
case 71
case 72
case 73
case 74
case 75
case 76
case 77
case 78
case 79
case 80
case 81
case 82
case 83
case 84
case 85
case 86
case 87
case 88
case 89
case 90
case 91
case 92
case 93
case 94
case 95
case 96
case 97
case 98
case 99
case 100
case 101
case 102
case 103
case 104
case 105
case 106
case 107
case 108
case 109
case 110
case 111
case 112
case 113
case 114
case 115
case 116
case 117
case 118
case 119
case 120
case 121
case 122
case 123
case 124
case 125
case 126
case 127
case 128
case 129
case 130
case 131
case 132
case 133
case 134
case 135
case 136
case 137
case 138
case 139
case 140
case 141
case 142
case 143
case 144
case 145
case 146
case 147
case 148
case 149
case 150
case 151
case 152
case 153
case 154
case 155
case 156
case 157
case 158
case 159
case 160
case 161
case 162
case 163
case 164
case 165
case 166
case 167
case 168
case 169
case 170
case 171
case 172
case 173
case 174
case 175
case 176
case 177
case 178
case 179
case 180
case 181
case 182
case 183
case 184
case 185
case 186
case 187
case 188
case 189
case 190
case 191
case 192
case 193
case 194
case 195
case 196
case 197
case 198
case 199
case 200
case 201
case 202
case 203
case 204
case 205
case 206
case 207
case 208
case 209
case 210
case 211
case 212
case 213
case 214
case 215
case 216
case 217
case 218
case 219
case 220
case 221
case 222
case 223
case 224

Spoiler: cases with the third bar formed

case 25
case 26
case 27
case 28
case 29
case 40
case 41
case 42
case 43
case 44
case 85
case 86
case 87
case 88
case 89
case 130
case 131
case 132
case 133
case 134
case 190
case 191
case 192
case 193
case 194

This list covers 225 cases with the first two bars on F solved (placed on the left) and the two remaining inner X-centres paired on U; it leaves a state where the third bar is solved and the fourth bar can be done without a commutator. (Fully solving the last bar would make the number of cases blow up to 3375.)

This is just a proof of concept; I'll release a version of this list with pictures and better algs later so you can actually tell which cases are which instead of guessing the case number.

Edit:

Spoiler: cases with the third bar formed, with better algs

case 25:

• 3R U' r U' 3r'

case 26:

• 3r U2 3r'
• 3R U2 3R'

case 27:

• 3r U2 3r' U' 3R U' r U 3r'
• 3R U' 3R' U' r U 3R U' 3r'
• 3R U2 3R' U' 3R U r U' 3r'
• U 3r U 3r' U' 3r U2 r' U' 3R'
• U 3r U2 3r' U r U 3R U' 3r'
• U' 3r U' r' U 3R' U 3r U2 3r'

case 28:

• U' r U 3R U2 3r'

case 29:

• 3r U' 3R' U r' U' 3R U' 3R'
• 3R U 3R' U' r U 3R U 3r'
• 3r U2 3R' U' 3R U' r' U 3R'
• 3R U2 3R' U 3R U r U' 3r'

case 40:

• U r U' 3R U r' U2 r U' 3r'
• U' r U 3R U' r' U2 r U 3r'

case 41:

• 3R U r U 3r'

case 42:

• 3r U2 r' U' r U 3r'
• 3R U2 r U' r' U 3R'

case 43:

• 3r U2 3r'
• 3R U2 3R'

case 44:

• 3r U r' U 3R'

case 85:

• 3r U' r' U' 3R'

case 86:

• 3r U 3R' U' r' U 3R U 3R'
• 3R U' 3R' U r U' 3R U' 3r'
• 3r U2 3R' U 3R U r' U' 3R'
• 3R U2 3R' U' 3R U' r U 3r'

case 87:

• U' 3r U' 3r' U 3R U' 3R'
• 3r U' 3r' U' r U 3R U' 3r'
• 3r U2 3r' U 3R U' r U 3r'

case 88:

• r U' r' U 3r U2 3r'
• r U' r' U 3R U2 3R'

case 89:

• 3r U2 3r'
• 3R U2 3R'

case 130:

• 3r U2 3r'
• 3R U2 3R'

case 131:

• U r U' 3R U2 3r'

case 132:

• U2 r U' r' U' 3r U2 3r'
• U2 r U' r' U' 3R U2 3R'

case 133:

• U r U' 3R U r' U 3R'
• U' r U 3R U' r' U' 3R'
• r U r' U' 3R U r U 3r'
• r U' r' U 3R U' r U' 3r'

case 134:

• r U r' U' 3r U2 3r'
• r U r' U' 3R U2 3R'

case 190:

• 3r U2 r' U r U' 3r'
• 3R U2 r U r' U' 3R'

case 191:

• 3r U2 3r' U 3R U r U' 3r'
• 3R U 3R' U r U' 3R U 3r'
• 3R U2 3R' U 3R U' r U 3r'
• U 3r U r' U' 3R' U' 3r U2 3r'
• U' 3r U2 3r' U' r U' 3R U 3r'
• U' 3r U' 3r' U 3r U2 r' U 3R'

case 192:

• 3r U2 3r'
• 3R U2 3R'

case 193:

• U2 r U r' U 3r U2 3r'
• U2 r U r' U 3R U2 3R'

case 194:

• U 3r U 3r' U' 3R U 3R'
• 3r U 3r' U r U' 3R U 3r'
• 3r U2 3r' U' 3R U r U' 3r'

 

[lucarubik]

M2 U' M' U' M U' M' U' M' a nice 2gen ive only now thought about, im stupid
*a couple more interesting techinques

Uw' R U R U' R' U' R' U' R U Uw this one pretty standard still cool tho
L U L' S L U' L' S' this one is something else to me, probebly one of those almost totally cancelled comms, a pain in the but to learn

 

[Danny Gorlov]

What do you guys think of this Ja Perm Alg? (Bar on the right)

(R U' L' U) (R' U2) (L U') (L' U2 L)

• Don't like the L R' at the end of the comman Ja Alg (Bar on the front).

 

[SolveThatCube]

I sometimes use the same alg but done from the back. L U' R' U L U2' R U' R' U2 R
Much better to fingertrick right handers.

 

[JustinTimeCuber]

I find myself cringily doing
y2 F2 L' U' r U2 l' U R' U' l2

 

[Brest]

GoGoGo

R' F R3 U' R2' U' R2 U R' F' R U R2'