shortest wing 3 cycle (15)
2R U 2R U 2R' U 2R' U' 2R2 U' 2R2 U2 2R U 2R'
UF edge flip (22)
U2 2R2 U 2R U' 2R' U2 2R' U2 2R2 U2 2R' U' 2R' U' 2R' U2 2R' U2 2R U2 2R'
the only 27 move ELL (except the mirror) (27)
U 2R2 U2 2R2 U 2R U2 2R2 U2 2R' U2 2R2 U2 2R U2 2R2 U2 2R' U2 2R2 U2 2R U2 2R2 U' 2R2 U'
supercube-safe UF edge flip (29)
2R2 U 2R2 U2 2R2 U2 2R' U 2R' U 2R' U2 2R2 U2 2R2 U' 2R U' 2R U2 2R U2 2R U2 2R U' 2R U2 2R2
supercube-safe double parity (30)
U 2R2 U 2R U 2R2 U2 2R U 2R U' 2R U2 2R' U' 2R2 U' 2R2 U2 2R U 2R U 2R2 U2 2R' U2 2R2 U' 2R'
God's algorithm distribution
Depth New Total
0 1 1
1 6 7
2 18 25
3 54 79
4 162 241
5 486 727
6 1457 2184
7 4360 6544
8 13048 19592
9 38984 58576
10 116526 175102
11 348180 523282
12 1039946 1563228
13 3103288 4666516
14 9260812 13927328
15 27610283 41537611
16 82268605 123806216
17 244724107 368530323
18 725908778 1094439101
19 2138634030 3233073131
20 6200601206 9433674337
21 17266104701 26699779038
22 43420887999 70120667037
23 84652745882 154773412919
24 90699750007 245473162926
25 28019871154 273493034080
26 843874456 274336908536
27 371461 274337279997
28 3 274337280000
29 0 274337280000
Date: 2017-07-04 to 2017-07-06
Time: ~60 hours
Generators of depth 28 positions:
2R2 U 2R U' 2R' U' 2R' U2 2R U 2R U' 2R U2 2R2 U' 2R U 2R' U' 2R' U' 2R2 U' 2R' U2 2R' U'
2R U2 2R U 2R U2 2R U' 2R' U 2R2 U2 2R U' 2R' U' 2R' U' 2R2 U' 2R' U' 2R2 U' 2R' U' 2R' U'
2R2 U2 2R U2 2R2 U 2R' U2 2R' U2 2R U 2R' U' 2R2 U' 2R' U2 2R U' 2R U2 2R U 2R U' 2R' U'
God's algorithm distribution (QTM)
Depth New Total
0 1 1
1 4 5
2 10 15
3 24 39
4 58 97
5 140 237
6 338 575
7 816 1391
8 1970 3361
9 4756 8117
10 11478 19595
11 27696 47291
12 66805 114096
13 161116 275212
14 388592 663804
15 937160 1600964
16 2259470 3860434
17 5446584 9307018
18 13127030 22434048
19 31629942 54063990
20 76179254 130243244
21 183334204 313577448
22 440524850 754102298
23 1055119864 1809222162
24 2510119515 4319341677
25 5884935463 10204277140
26 13365434497 23569711637
27 28350051958 51919763595
28 52175231202 104094994797
29 72980013971 177075008768
30 64090309117 241165317885
31 28571743841 269737061726
32 4494910033 274231971759
33 105232429 274337204188
34 75780 274337279968
35 32 274337280000
36 0 274337280000
Date: 2024-04-21
Time: ~16 hours
Generators of depth 35 positions:
U' 2R2 U2 2R' U 2R U2 2R U' 2R2 U' 2R' U' 2R' U2 2R2 U' 2R' U2 2R2 U 2R' U 2R' U' 2R' U'
2R2 U 2R U 2R2 U 2R U 2R U 2R' U 2R2 U 2R2 U 2R' U 2R' U' 2R' U' 2R U' 2R' U 2R' U2 2R' U'
U' 2R' U 2R U' 2R U2 2R U' 2R2 U' 2R U' 2R U' 2R U2 2R' U 2R' U 2R U 2R2 U' 2R' U' 2R' U' 2R' U'
2R' U' 2R' U 2R U 2R U2 2R' U 2R' U' 2R' U2 2R' U 2R U2 2R' U2 2R U 2R U2 2R' U' 2R' U' 2R' U'
U 2R' U' 2R' U' 2R' U2 2R U 2R2 U2 2R2 U' 2R' U' 2R U' 2R' U 2R2 U' 2R' U2 2R U' 2R U' 2R' U'
2R U 2R' U' 2R' U' 2R U' 2R U 2R' U 2R' U 2R' U 2R' U 2R2 U 2R U 2R' U 2R' U2 2R U2 2R U' 2R' U'
U2 2R' U' 2R' U' 2R U' 2R U2 2R' U 2R2 U 2R U 2R U' 2R2 U 2R U2 2R U 2R2 U' 2R' U' 2R' U'
U' 2R U2 2R2 U' 2R' U 2R' U' 2R' U 2R' U' 2R' U2 2R' U 2R2 U' 2R' U' 2R' U' 2R' U' 2R U 2R' U' 2R' U'
2R U2 2R U' 2R U2 2R' U2 2R U' 2R' U 2R U' 2R' U' 2R' U' 2R' U' 2R' U 2R2 U 2R U 2R2 U' 2R' U'
U' 2R2 U2 2R2 U' 2R U2 2R2 U2 2R' U' 2R2 U 2R' U2 2R U2 2R U' 2R2 U 2R' U' 2R' U'
2R U2 2R' U 2R' U 2R2 U 2R2 U' 2R' U2 2R' U' 2R2 U 2R U 2R' U 2R' U 2R2 U' 2R2 U' 2R' U'
2R U 2R U 2R U 2R U 2R' U 2R2 U' 2R U' 2R U 2R' U 2R' U' 2R' U2 2R U2 2R2 U 2R' U2 2R' U'
U' 2R U 2R2 U' 2R U 2R U' 2R' U' 2R U2 2R' U2 2R U2 2R' U 2R2 U2 2R U2 2R' U2 2R' U'
U' 2R' U' 2R U2 2R' U2 2R U2 2R U2 2R U' 2R2 U' 2R U' 2R U 2R' U' 2R U2 2R' U 2R' U' 2R' U'
2R U 2R' U2 2R U' 2R' U 2R' U 2R' U 2R' U' 2R' U' 2R' U' 2R2 U2 2R' U 2R' U 2R U' 2R' U' 2R' U' 2R' U'
2R U' 2R U' 2R2 U2 2R U' 2R U 2R U 2R' U' 2R' U 2R' U 2R' U 2R' U2 2R' U' 2R U 2R' U' 2R' U' 2R' U'
2R U' 2R U' 2R U 2R' U' 2R U2 2R U 2R U 2R U 2R U' 2R U 2R' U 2R' U' 2R' U2 2R2 U' 2R' U' 2R' U'
2R2 U' 2R U2 2R U' 2R U' 2R U 2R2 U' 2R U' 2R' U' 2R2 U 2R' U' 2R' U' 2R' U 2R2 U' 2R' U' 2R' U'
2R' U2 2R U' 2R U2 2R U 2R U 2R U' 2R' U' 2R2 U 2R2 U 2R U 2R U2 2R U 2R' U' 2R' U' 2R' U'
2R2 U 2R' U 2R' U 2R2 U' 2R' U 2R' U 2R' U 2R' U2 2R2 U' 2R U' 2R2 U 2R' U' 2R U' 2R' U' 2R' U'
2R' U' 2R U 2R' U' 2R2 U' 2R' U' 2R U' 2R2 U' 2R' U' 2R' U2 2R2 U' 2R' U' 2R U' 2R2 U' 2R' U' 2R' U'
2R U2 2R' U2 2R2 U' 2R2 U2 2R U 2R U' 2R U 2R U 2R U' 2R U' 2R' U 2R' U 2R' U 2R' U' 2R' U'
2R U' 2R U' 2R U' 2R U' 2R' U' 2R2 U 2R U 2R U' 2R' U' 2R' U 2R' U2 2R U2 2R2 U' 2R' U2 2R' U'
U 2R U2 2R' U' 2R U 2R' U' 2R' U 2R' U 2R' U' 2R' U 2R' U 2R U' 2R2 U 2R' U 2R2 U2 2R' U' 2R' U'
U' 2R' U2 2R U' 2R' U2 2R U2 2R' U' 2R' U 2R' U' 2R' U 2R U 2R' U 2R U' 2R U 2R' U2 2R' U' 2R' U'
2R' U 2R U 2R U' 2R U 2R U' 2R2 U 2R U 2R U' 2R U2 2R' U 2R' U 2R' U 2R U2 2R' U' 2R' U' 2R' U'
2R' U 2R U2 2R' U 2R U' 2R' U' 2R U 2R U' 2R' U' 2R U' 2R U 2R U 2R2 U2 2R U 2R' U' 2R' U' 2R' U'
2R' U' 2R2 U' 2R' U 2R' U' 2R U2 2R U 2R U 2R U 2R' U 2R U' 2R' U2 2R U' 2R' U' 2R' U 2R U' 2R' U'
2R U2 2R2 U2 2R U 2R U' 2R U' 2R U2 2R' U 2R2 U 2R' U' 2R' U 2R' U' 2R' U' 2R' U' 2R' U' 2R' U'
2R U 2R U 2R U' 2R U 2R U' 2R2 U 2R U 2R U' 2R U2 2R' U 2R' U 2R' U 2R U2 2R' U' 2R' U' 2R' U'
2R2 U 2R' U' 2R' U' 2R2 U' 2R' U' 2R U2 2R U2 2R U2 2R U' 2R U' 2R U 2R' U' 2R U' 2R' U' 2R' U'
2R' U 2R U' 2R' U 2R2 U 2R' U 2R U 2R2 U 2R' U 2R' U2 2R2 U 2R' U 2R U 2R2 U 2R' U 2R' U'