Sarah's Cubing Site — Square-1 — EP Algorithms (2024)

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) *