Edge Permutation
Printable VersionThese EP algs are from Lars Vandenbergh's site, this thread, and from videos on David Woner's and Bingliang Li's YouTube channels.
Red text indicates a case with parity, and an asterisk (*) indicates that the equator will be flipped after the alg is performed.
The first digit indicates the cycle on the D layer and the second digit indicates the cycle on the U layer. The numbering system is as followed:
0: all edges permuted, 1: adjacent swap, 2: opposite swap, 3: clockwise U perm, 4: counterclockwise U perm, 5: Z perm, 6: H perm, 7: clockwise O perm, 8: counterclockwise O perm, 9: W perm.
All U or D moves before an alg are AUF/ADFs; they're not part of the alg.
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00Skip!
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01
Adj on U
/ (-3,0) / (0,3) / (0,-3) / (0,3) / (2,0) / (0,2) / (-2,0) / (4,0) / (0,-2) / (0,2) / (-1,4) / (0,-3) / (0,3) * -
02
Opp on U
(U) / (3,3) / (-1,0) / (2,-4) / (4,-2) / (0,-2) / (-4,2) / (1,-5) / (3,0) / (3,3) / (3,0) -
03
CwU on U
/ (0,3) / (1,0) / (-3,0) / (-1,0) / (0,-3) / (1,0) / (3,0) / (-1,0) -
04
CcwU on U
(1,0) / (-3,0) / (-1,0) / (0,3) / (1,0) / (3,0) / (-1,0) / (0,-3) / -
05
Z on U
(U) / (3,3) / (0,3) / (1,1) / (-1,-4) / (-3,-3) -
06
H on U
/ (3,-3) / (3,-3) / (0,1) / (-3,3) / (-3,3) / (-1,0) -
07
CwO on U
(0,-1) / (-2,-2) / (2,0) / (-3,-3) / (0,1) / (-2,-2) / (0,-2) / (2,2) / (0,-1) / (3,3) / (3,3) -
08
CcwO on U
/ (-3,-3) / (0,1) / (-2,-2) / (0,2) / (2,2) / (0,-1) / (3,3) / (-2,0) / (2,2) / (-3,-2) -
09
W on U
(U2) (0,-1) / (1,-2) / (-4,0) / (0,3) / (1,0) / (3,-2) / (-4,0) / (-4,0) / (-2,2) / (-1,0) / (0,-3) / (-3,0) *
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10
Adj on D
/ (0,3) / (-3,0) / (3,0) / (-3,0) / (0,-2) / (-2,0) / (0,2) / (0,-4) / (2,0) / (-2,0) / (-4,1) / (3,0) / (-3,0) * -
11
Adj-Adj
(U2 D) (1,0) / (3,0) / (-1,-1) / (-2,1) / (-1,0) -
12
Opp-Adj
(D) (0,-1) / (0,-3) / (0,3) / (1,-2) / (-1,-1) / (0,3) / (0,-3) / (0,3) / (0,1) -
13
CwU-Adj
(D') / (-3,-3) / (0,1) / (0,-2) / (0,-4) / (-4,0) / (-4,0) / (-2,0) / (5,0) / (-3,-3) / (0,-3) -
14
CcwU-Adj
/ (3,3) / (-5,0) / (2,0) / (4,0) / (4,0) / (0,4) / (0,2) / (0,-1) / (3,3) / (0,3) -
15
Z-Adj
/ (-3,0) / (3,3) / (3,0) / (1,0) / (4,-2) / (2,-4) / (3,-1) / (0,-3) / (-3,-3) / (0,3) -
16
H-Adj
/ (-3,0) / (3,3) / (3,0) / (1,0) / (4,-2) / (2,-4) / (4,0) / (-1,-4) / (-3,-3) / (0,3) -
17
CwO-Adj
(D) / (-3,0) / (-2,0) / (5,-1) / (-5,0) / (3,0) / (-3,0) / (0,1) / (-3,0) / (-3,0) / (-1,0) -
18
CcwO-Adj
(D) (1,0) / (3,0) / (3,0) / (0,-1) / (3,0) / (-3,0) / (5,0) / (-5,1) / (2,0) / (3,0) -
19
W-Adj
(U) (1,0) / (3,0) / (-1,-1) / (3,0) / (-3,0) / (1,1) / (-3,0) / (5,0) *
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20
Opp on D
(D) / (3,3) / (1,0) / (4,-2) / (2,-4) / (0,2) / (-2,4) / (5,-1) / (0,3) / (-3,-3) / (3,0) -
21
Adj-Opp
(D) (1,0) / (-1,0) / (-3,0) / (0,-1) / (6,0) / (1,0) / (3,0) / (0,1) / (5,0) -
22
Opp-Opp
(1,0) / (-1,-1) / (6,1) / (1,0) / (-1,-1) / (6,1) -
23
CwU-Opp
(U2) / (3,0) / (-3,0) / (3,0) / (0,3) / (1,0) / (0,2) / (4,0) / (0,-4) / (2,0) / (0,5) / (3,3) / (0,-3) -
24
CcwU-Opp
(U2 D) / (-3,-3) / (0,-5) / (-2,0) / (0,4) / (-4,0) / (0,-2) / (-1,0) / (0,-3) / (-3,0) / (3,0) / (-3,0) / (0,3) -
25
Z-Opp
(D) / (-3,-3) / (0,-3) / (-2,-2) / (2,0) / (-2,4) / (2,-4) / (0,-1) / (3,3) / (-3,0) * -
26
H-Opp
(D) / (3,3) / (1,0) / (-2,4) / (2,-4) / (2,0) / (-3,-3) / (0,-3) / (-3,-3) / (3,0) * -
27
CwO-Opp
(0,-1) / (1,1) / (3,0) / (-1,-1) / (3,0) / (1,1) / (5,0) -
28
CcwO-Opp
(D) (0,-1) / (1,1) / (-3,0) / (-1,-1) / (-3,0) / (1,1) / (5,0) -
29
W-Opp
(U' D) (1,0) / (0,3) / (-1,0) / (0,3) / (1,0) / (2,2) / (0,1) / (0,3) / (1,0) / (-3,0) / (-1,0)
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30
CwU on D
/ (0,-3) / (0,-1) / (3,0) / (0,1) / (0,3) / (0,-1) / (-3,0) / (0,1) -
31
Adj-CwU
/ (3,3) / (5,0) / (2,0) / (4,0) / (0,4) / (0,4) / (0,2) / (0,1) / (3,3) / (-3,0) -
32
Opp-CwU
/ (3,3) / (5,0) / (0,2) / (-4,0) / (0,4) / (2,0) / (0,1) / (3,0) / (0,3) / (0,-3) / (0,3) / (-3,0) -
33
CwU-CwU
(U' D) (1,0) / (5,-1) / (-3,0) / (1,1) / (-3,0) / (5,0) * -
34
CcwU-CwU
(U D) (1,0) / (5,-1) / (-5,1) / (-3,0) / (0,3) / (-1,-1) / (1,-2) / (-4,0) * -
35
Z-CwU
(U) (0,-1) / (-3,0) / (1,1) / (2,-1) / (0,-3) / (0,-3) / (1,1) / (-1,2) / (0,4) -
36
H-CwU
(D') (0,-1) / (-3,0) / (0,-5) / (0,3) / (-5,0) / (5,0) / (0,-3) / (1,3) / (5,-1) / (0,-5) * -
37
CwO-CwU
(D') / (3,3) / (5,0) / (-4,0) / (0,-2) / (4,2) / (4,-2) / (-4,0) / (0,-1) / (3,0) / (3,3) / (-3,0) / (0,-3) -
38
CcwO-CwU
/ (3,0) / (-3,-3) / (-3,0) / (0,1) / (4,0) / (-4,2) / (-4,-2) / (0,2) / (4,0) / (-5,0) / (-3,-3) / (0,3) -
39
W-CwU
(D2) / (0,-3) / (4,0) / (0,-1) / (0,2) / (4,4) / (2,0) / (1,0) / (0,-3) / (3,0) / (-4,0) / (3,0) / (0,-3)
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40
CcwU on D
(0,-1) / (3,0) / (0,1) / (0,-3) / (0,-1) / (-3,0) / (0,1) / (0,3) -
41
Adj-CcwU
(U) / (-3,-3) / (0,-1) / (0,-2) / (0,-4) / (0,-4) / (-4,0) / (-2,0) / (-5,0) / (-3,-3) / (3,0) -
42
Opp-CcwU
(D2) / (0,-3) / (0,3) / (0,-3) / (-3,0) / (0,-1) / (-2,0) / (0,-4) / (4,0) / (0,-2) / (-5,0) / (-3,-3) / (3,0) -
43
CwU-CcwU
(U D) (0,-1) / (1,-5) / (-1,5) / (0,3) / (-3,0) / (1,1) / (2,-1) / (0,4) * -
44
CcwU-CcwU
(U D) (1,0) / (3,0) / (-1,-1) / (3,0) / (-5,1) / (5,0) -
45
Z-CcwU
(U D)(0,-1) / (-3,0) / (1,1) / (2,-1) / (0,3) / (0,-3) / (1,1) / (-1,2) / (0,-2) -
46
H-CcwU
(D) (0,-1) / (-5,1) / (-1,-3) / (0,3) / (-5,0) / (5,0) / (0,-3) / (0,5) / (3,0) / (0,-5) * -
47
CwO-CcwU
/ (3,0) / (0,-3) / (3,0) / (3,0) / (0,5) / (2,-4) / (-4,0) / (0,-4) / (-4,-2) / (1,0) / (-3,-3) / (-3,0) -
48
CcwO-CcwU
(D) / (3,3) / (-1,0) / (4,2) / (0,4) / (4,0) / (-2,4) / (0,-5) / (-3,0) / (-3,0) / (0,3) / (-3,0) / (3,0) -
49
W-CcwU
(U2 D') / (-3,0) / (4,0) / (-3,0) / (0,3) / (-1,0) / (-2,0) / (-4,-4) / (0,-2) / (0,1) / (-4,0) / (0,3) / (0,3)
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50
Z on D
(D) / (-3,-3) / (-3,0) / (-1,-1) / (4,1) / (3,3) -
51
Adj-Z
/ (-3,0) / (3,3) / (3,0) / (5,0) / (-4,2) / (-2,4) / (3,1) / (0,3) / (-3,-3) / (3,6) -
52
Opp-Z
(U) / (-3,-3) / (0,-1) / (-4,2) / (4,-2) / (-4,0) / (-2,-2) / (0,3) / (3,3) / (0,3) * -
53
CwU-Z
(U' D) (1,0) / (0,3) / (-1,-1) / (1,-2) / (-3,0) / (3,0) / (-1,-1) / (-2,1) / (2,0) -
54
CcwU-Z
(D) (1,0) / (0,3) / (-1,-1) / (1,-2) / (3,0) / (3,0) / (-1,-1) / (-2,1) / (-4,0) -
55
Z-Z
(D) (1,0) / (0,3) / (-1,-1) / (4,-2) / (-1,-1) / (-2,1) / (-1,0) -
56
H-Z
/ (3,3) / (0,-3) / (1,-5) / (4,-2) / (-2,1) / (3,3) / * -
57
CwO-Z
/ (3,3) / (3,0) / (2,2) / (2,0) / (4,-2) / (2,-4) / (2,0) / (5,5) / (0,-3) / (-3,-3) / (0,3) * -
58
CcwO-Z
(D) / (3,3) / (0,3) / (-5,-5) / (-2,0) / (-2,4) / (-4,2) / (-2,0) / (-2,-2) / (-3,0) / (-3,-3) / * -
59
W-Z
(U') / (3,3) / (1,-2) / (4,-4) / (2,-4) / (-2,4) / (1,0) / (0,-3) / (3,3) / (3,0) / (3,0)
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60
H on D
/ (3,-3) / (3,-3) / (-1,0) / (-3,3) / (-3,3) / (0,1) -
61
Adj-H
/ (-3,0) / (3,3) / (3,0) / (5,0) / (-4,2) / (-2,4) / (2,0) / (-2,1) / (3,3) / (0,3) -
62
Opp-H
/ (-3,-3) / (3,0) / (-3,-3) / (2,0) / (-4,2) / (4,-2) / (1,0) / (-3,-3) / (3,0) * -
63
CwU-H
(U) (1,0) / (-1,5) / (3,1) / (-3,0) / (0,5) / (0,-5) / (3,0) / (-5,0) / (0,-3) / (5,0) * -
64
CcwU-H
(U') (1,0) / (0,3) / (5,0) / (-3,0) / (0,5) / (0,-5) / (3,0) / (-3,-1) / (1,-5) / (5,0) * -
65
Z-H
/ (-3,-3) / (3,0) / (5,-1) / (2,-4) / (-1,2) / (-3,-3) / * -
66
H-H
/ (3,-3) / (3,-3) / (-1,1) / (3,-3) / (3,-3) / (-5,5) -
67
CwO-H
/ (-3,-3) / (0,5) / (-4,2) / (-2,4) / (-2,0) / (-2,-2) / (-1,2) / (-3,-3) / (-3,0) * -
68
CcwO-H
/ (3,3) / (1,-2) / (2,2) / (2,0) / (2,-4) / (4,-2) / (0,-5) / (3,3) / (3,0) * -
69
W-H
(U2) / (3,0) / (0,-3) / (3,0) / (3,0) / (2,-1) / (0,2) / (-2,4) / (2,-4) / (2,0) / (-1,2) / (-3,-3) / (-3,0)
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70
CwO on D
/ (3,3) / (-1,0) / (2,2) / (-2,0) / (4,4) / (0,1) / (3,3) / (-2,0) / (2,2) / (0,1) -
71
Adj-CwO
(U) (0,-1) / (0,-3) / (0,-3) / (1,0) / (0,-3) / (0,3) / (0,-5) / (-1,5) / (0,-2) / (0,-3) / -
72
Opp-CwO
(1,0) / (-1,-1) / (0,-3) / (1,1) / (0,-3) / (-1,-1) / (0,-5) -
73
CwU-CwO
(U') / (-3,-3) / (0,1) / (-2,-4) / (-4,0) / (0,-4) / (-4,2) / (5,0) / (0,3) / (0,3) / (-3,0) / (0,3) / (0,-3) -
74
CcwU-CwO
(U') / (0,-3) / (3,3) / (0,3) / (-1,0) / (0,-4) / (-2,4) / (2,4) / (-2,0) / (0,-4) / (0,5) / (3,3) / (-3,0) -
75
Z-CwO
(U) / (-3,-3) / (-3,0) / (5,5) / (0,2) / (-4,2) / (-2,4) / (0,2) / (2,2) / (0,3) / (3,3) / * -
76
H-CwO
/ (-3,-3) / (2,-1) / (-2,-2) / (0,-2) / (4,-2) / (2,-4) / (5,0) / (-3,-3) / (0,-3) * -
77
CwO-CwO
(1,0) / (5,-1) / (-3,0) / (1,1) / (-4,2) / (1,1) / (0,-3) / (5,0) * -
78
CcwO-CwO
(1,0) / (2,2) / (3,0) / (1,1) / (-3,0) / (2,2) / (3,0) / (-5,-5) / (-1,-3) * -
79
W-CwO
(1,0) / (5,-1) / (-3,0) / (1,1) / (-3,0) / (3,0) / (-1,2) / (1,1) / (0,-3) / (2,0) *
-
80
CcwO on D
(0,-1) / (-2,-2) / (2,0) / (-3,-3) / (0,-1) / (-4,-4) / (2,0) / (-2,-2) / (1,0) / (-3,-3) -
81
Adj-CcwO
(U) / (0,3) / (0,2) / (1,-5) / (0,5) / (0,-3) / (0,3) / (-1,0) / (0,3) / (0,3) / (0,1) -
82
Opp-CcwO
(1,0) / (-1,-1) / (0,3) / (1,1) / (0,3) / (-1,-1) / (0,-5) -
83
CwU-CcwO
/ (-3,-3) / (0,-5) / (0,4) / (2,0) / (-2,-4) / (2,-4) / (0,4) / (1,0) / (0,-3) / (-3,-3) / (0,3) / (3,0) -
84
CcwU-CcwO
(U') / (0,-3) / (3,0) / (0,-3) / (0,-3) / (-5,0) / (4,-2) / (0,4) / (4,0) / (2,4) / (0,-1) / (3,3) / (0,3) -
85
Z-CcwO
/ (-3,-3) / (0,-3) / (-2,-2) / (0,-2) / (2,-4) / (4,-2) / (0,-2) / (-5,-5) / (3,0) / (3,3) / (-3,0) * -
86
H-CcwO
/ (3,3) / (-5,0) / (-2,4) / (-4,2) / (0,2) / (2,2) / (-2,1) / (3,3) / (0,3) * -
87
CwO-CcwO
(1,3) / (5,5) / (-3,0) / (-2,-2) / (3,0) / (-1,-1) / (-3,0) / (-2,-2) / (-1,0) * -
88
CcwO-CcwO
(1,0) / (0,3) / (-1,-1) / (4,-2) / (-1,-1) / (3,0) / (-5,1) / (5,0) * -
89
W-CcwO
(U) (1,0) / (0,3) / (-1,-1) / (1,-2) / (-3,0) / (3,0) / (-1,-1) / (3,0) / (-5,1) / (-4,0) *
-
90
W on D
(D') / (0,3) / (1,0)/ (2,-2) / (4,0) / (4,0) / (-3,2) / (-1,0) / (0,-3) / (4,0) / (-1,2) / (3,-2) * -
91
Adj-W
(D') (0,-1) / (0,-3) / (1,1) / (0,-3) / (0,3) / (-1,-1) / (0,3) / (0,-5) * -
92
Opp-W
(U D2) (1,0) / (0,3) / (0,-1) / (0,3) / (0,1) / (2,2) / (1,0) / (0,3) / (0,1) / (-3,0) / (-1,0) -
93
CwU-W
(U' D2) / (0,3) / (0,-4) / (0,3) / (-3,0) / (0,1) / (0,2) / (4,4) / (2,0) / (-1,0) / (0,4) / (-3,0) / (-3,0) -
94
CcwU-W
(U2) / (3,0) / (0,-4) / (1,0) / (-2,0) / (-4,-4) / (0,-2) / (0,-1) / (3,0) / (0,-3) / (0,4) / (0,-3) / (3,0) -
95
Z-W
/ (-3,-3) / (2,-1) / (4,-4) / (4,-2) / (-4,2) / (0,-1) / (3,0) / (-3,-3) / (0,-3) / (0,-3) -
96
H-W
(D2) / (0,-3) / (3,0) / (0,-3) / (0,-3) / (1,-2) / (-2,0) / (-4,2) / (4,-2) / (0,-2) / (-2,1) / (3,3) / (0,-6) -
97
CwO-W
(D') (0,-1) / (-3,0) / (1,1) / (2,-1) / (0,3) / (0,-3) / (1,1) / (0,-3) / (-1,5) / (0,4) * -
98
CcwO-W
(0,-1) / (1,-5) / (0,3) / (-1,-1) / (0,3) / (0,-3) / (-2,1) / (-1,-1) / (3,0) / (0,1) * -
99
W-W
(U) (1,0) / (5,-1) / (3,3) / (3,0) / (1,1) / (-3,0) / (3,-3) / (5,0) *