Edge Permutation

Printable Version

These 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.

    • 00
      Skip!
    • 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) *
    • 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) *
    • 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)
    • 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)
    • 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)
    • 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)
    • 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)
    • 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) *