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Speedcubing taken one step further
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  Overview | Notation | Step 1 | Step 2 | Step 3 | Step 4 | Step 5 | Step 6

Square-1 solution method - Step 5

Below you can find algorithms for each case. First the case in cycle notation is listed, followed by the actual algorithm. The numbers between square brackets denote the number of twists and the the number of turns respectively. The algorithms are grouped according to the number of edge swaps that need to be done in each layer. You should keep in mind that a 2-cycle counts as 1 edge swap, a 3-cycle counts as 2 edge swaps and a 4-cycle is the equivalent of 3 edge swaps.

1 edge swap in U layer, 0 edge swaps in D layer

Top view
of top layer		 Bottom view
of bottom layer
(UR UF)
/ (-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)
[13|27]
(UR UL)
/ (3,3) / (-1,0) / (2,-4) / (4,-2) / (0,-2) / (-4,2) / (1,-5) / (3,0) / (3,3) / (3,0)
[10|26]

2 edge swaps in U layer, 0 edge swaps in D layer

Top view
of top layer		 Bottom view
of bottom layer
(UR UB) (UL UF)
/ (3,3) / (0,3) / (1,1) / (-1,-4) / (-3,-3) /
[6|15]
(UR UL) (UF UB)
/ (3,-3) / (3,-3) / (0,1) / (-3,3) / (-3,3) / (-1,0)
[6|16]
(UR UL UB)
/ (3,0) / (1,0) / (0,-3) / (-1,0) / (-3,0) / (1,0) / (0,3) / (-1,0)
[8|16]
(UR UB UL)
(1,0) / (0,-3) / (-1,0) / (3,0) / (1,0) / (0,3) / (-1,0) / (-3,0) /
[8|16]

3 edge swaps in U layer, 0 edge swaps in D layer

Top view
of top layer		 Bottom view
of bottom layer
(UR UF UL UB)
(1,0) / (2,2) / (0,-2) / (3,3) / (1,0) / (4,4) / (0,-2) / (2,2) / (0,-1) / (3,3) /
[10|25]
(UR UB UL UF)
/ (-3,-3) / (0,1) / (-2,-2) / (0,2) / (-4,-4) / (-1,0) / (-3,-3) / (0,2) / (-2,-2) / (-1,0)
[10|25]
(UR UB UF UL)
(0,-1) / (1,-2) / (-4,0) / (0,3) / (1,0) / (3,-2) / (-4,0) / (-4,0) / (-2,2) / (-1,0) / (0,-3) / (-3,0)
[11|26]

1 edge swap in U layer, 1 edge swap in D layer

Top view
of top layer		 Bottom view
of bottom layer
(UR UF) (DL DF)
(1,0) / (0,3) / (-1,-1) / (1,-2) / (-1,0)
[4|11]
(UF UB) (DR DB)
(1,0) / (0,-1) / (0,-3) / (5,0) / (-5,0) / (0,3) / (0,1) / (5,0)
[7|15]
(UF UB) (DF DB)
(1,0) / (5,-1) / (-5,1) / (5,0)
[3|9]

2 edge swaps in U layer, 1 edge swap in D layer

Top view
of top layer		 Bottom view
of bottom layer
(UR UF) (UL UB) (DR DF)
/ (3,0) / (3,3) / (0,-3) / (4,-3) / (4,-2) / (2,-4) / (0,-4) / (3,0) / (-3,-3) / (-3,0)
[10|25]
(UL UR) (UF UB) (DR DB)
/ (3,3) / (1,4) / (0,-4) / (4,-2) / (2,-4) / (0,-1) / (0,3) / (-3,-3) / (-3,0) / (0,-3)
[10|25]
(UR UL UB) (DR DB)
/ (3,3) / (1,0) / (-2,0) / (-4,0) / (0,-4) / (0,-4) / (0,-2) / (0,5) / (3,3) / (0,-3)
[10|22]
(UR UB UL) (DB DL)
/ (-3,-3) / (0,-5) / (0,2) / (0,4) / (0,4) / (4,0) / (2,0) / (-1,0) / (-3,-3) / (0,3)
[10|22]
(UR UF) (UL UB) (DR DL)
/ (3,3) / (1,0) / (-2,4) / (2,-4) / (0,4) / (2,2) / (-3,0) / (-3,-3) / (-3,0)
[9|23]
(UL UR) (UF UB) (DR DL)
/ (3,3) / (1,0) / (-2,4) / (2,-4) / (2,0) / (3,3) / (-3,0) / (3,3) / (3,0)
[9|23]
(UR UL UB) (DF DB)
/ (3,0) / (-3,0) / (3,0) / (0,3) / (1,0) / (0,2) / (4,0) / (0,-4) / (2,0) / (0,5) / (3,3) / (0,-3)
[12|25]
(UR UB UL) (DR DL)
/ (-3,-3) / (0,-5) / (-2,0) / (0,4) / (-4,0) / (0,-2) / (-1,0) / (0,-3) / (-3,0) / (3,0) / (-3,0) / (0,3)
[12|25]

3 edge swaps in U layer, 1 edge swap in D layer

Top view
of top layer		 Bottom view
of bottom layer
(UR UF UL UB) (DR DB)
/ (-3,0) / (-2,0) / (5,-1) / (-5,0) / (3,0) / (-3,0) / (0,1) / (-3,0) / (-3,0) / (-1,0)
[10|21]
(UR UB UL UF) (DR DB)
(1,0) / (3,0) / (3,0) / (0,-1) / (3,0) / (-3,0) / (5,0) / (-5,1) / (2,0) / (3,0) /
[10|21]
(UR UL UB UF) (DL DB)
(1,0) / (0,3) / (5,5) / (3,0) / (-3,0) / (1,1) / (-3,0) / (-1,6)
[7|19]
(UR UF UL UB) (DF DB)
(0,-1) / (1,1) / (-3,0) / (-1,-1) / (-3,0) / (1,1) / (5,0)
[6|16]
(UR UB UL UF) (DF DB)
(0,-1) / (1,1) / (3,0) / (-1,-1) / (3,0) / (1,1) / (5,0)
[6|16]
(UR UL UB UF) (DR DL)
(1,0) / (0,3) / (-1,0) / (0,3) / (1,0) / (2,2) / (0,1) / (0,3) / (1,0) / (-3,0) / (-1,0)
[10|22]

2 edge swaps in U layer, 2 edge swaps in D layer

Top view
of top layer		 Bottom view
of bottom layer
(UR UF) (UL UB) (DL DF) (DR DB)
(1,0) / (0,3) / (-1,-1) / (4,-2) / (-1,-1) / (-2,1) / (-1,0)
[6|17]
(UL UR) (UF UB) (DR DF) (DL DB)
/ (3,3) / (0,-3) / (1,-5) / (4,-2) / (-2,1) / (3,3) /
[7|18]
(UR UF UB) (DL DF) (DR DB)
(1,0) / (0,3) / (-1,-1) / (1,-2) / (-3,0) / (3,0) / (-1,-1) / (-2,1) / (2,0)
[8|21]
(UR UL UF) (DL DF) (DR DB)
(1,0) / (0,3) / (-1,-1) / (1,-2) / (3,0) / (3,0) / (-1,-1) / (-2,1) / (-4,0)
[8|21]
(UL UR) (UF UB) (DL DR) (DF DB)
(1,0) / (5,-1) / (3,3) / (1,1) / (3,-3) / (5,0)
[5|15]
(UL UB UF) (DL DR) (DF DB)
(1,0) / (-1,5) / (3,1) / (-3,0) / (0,5) / (0,-5) / (3,0) / (-5,0) / (0,-3) / (5,0)
[9|21]
(UR UB UF) (DL DR) (DF DB)
(1,0) / (0,3) / (5,0) / (-3,0) / (0,5) / (0,-5) / (3,0) / (-3,-1) / (1,-5) / (5,0)
[10|21]
(UR UB UF) (DL DF DB)
(1,0) / (5,-1) / (-5,1) / (-3,0) / (0,3) / (-1,-1) / (1,-2) / (-4,0)
[7|19]
(UR UF UB) (DR DB DF)
(1,0) / (5,-1) / (-3,0) / (1,1) / (-3,0) / (5,0)
[5|13]
(UL UF UB) (DR DB DF)
(1,0) / (3,0) / (-1,-1) / (3,0) / (-5,1) / (5,0)
[5|13]

3 edge swaps in U layer, 2 edge swaps in D layer

Top view
of top layer		 Bottom view
of bottom layer
(UR UF UL UB) (DR DF) (DL DB)
/ (3,3) / (3,0) / (2,2) / (2,0) / (4,-2) / (2,-4) / (2,0) / (5,5) / (0,-3) / (-3,-3) / (0,3)
[11|28]
(UR UB UL UF) (DR DF) (DL DB)
/ (3,3) / (0,3) / (-5,-5) / (-2,0) / (-2,4) / (-4,2) / (-2,0) / (-2,-2) / (-3,0) / (-3,-3) / (0,-3)
[11|28]
(UR UL UB UF) (DR DF) (DL DB)
/ (3,3) / (1,-2) / (4,-4) / (2,-4) / (-2,4) / (1,0) / (0,-3) / (3,3) / (3,0) / (3,0)
[10|26]
(UR UF UL UB) (DR DB DF)
/ (3,0) / (0,-3) / (3,0) / (3,0) / (0,5) / (2,-4) / (-4,0) / (0,-4) / (-4,-2) / (1,0) / (-3,-3) / (-3,0)
[12|27]
(UR UB UL UF) (DR DB DF)
/ (3,0) / (-3,-3) / (-3,0) / (0,1) / (4,0) / (-4,2) / (-4,-2) / (0,2) / (4,0) / (-5,0) / (-3,-3) / (0,3)
[12|28]
(UR UB UF UL) (DL DB DF)
/ (0,-3) / (4,0) / (0,-1) / (0,2) / (4,4) / (2,0) / (1,0) / (0,-3) / (3,0) / (-4,0) / (3,0) / (0,-3)
[12|26]
(UR UF UL UB) (DR DF DB)
/ (3,3) / (5,0) / (-4,0) / (0,-2) / (4,2) / (4,-2) / (-4,0) / (0,-1) / (3,0) / (3,3) / (-3,0) / (0,-3)
[12|28]
(UR UB UL UF) (DR DF DB)
/ (3,3) / (-1,0) / (4,2) / (0,4) / (4,0) / (-2,4) / (0,-5) / (-3,0) / (-3,0) / (0,3) / (-3,0) / (3,0)
[12|27]
(UR UB UF UL) (DL DB DF)
/ (-3,0) / (4,0) / (-3,0) / (0,3) / (-1,0) / (-2,0) / (-4,-4) / (0,-2) / (0,1) / (-4,0) / (0,3) / (0,3)
[12|26]
(UR UF UL UB) (DR DF DB)
/ (-3,-3) / (0,5) / (-4,2) / (-2,4) / (-2,0) / (-2,-2) / (-1,2) / (-3,-3) / (-3,0)
[9|24]
(UR UB UL UF) (DR DF DB)
/ (3,3) / (1,-2) / (2,2) / (2,0) / (2,-4) / (4,-2) / (0,-5) / (3,3) / (3,0)
[9|24]
(UR UF UB UL) (DL DR) (DF DB)
/ (3,0) / (0,-3) / (3,0) / (3,0) / (2,-1) / (0,2) / (-2,4) / (2,-4) / (2,0) / (-1,2) / (-3,-3) / (6,0)
[12|29]

3 edge swaps in U layer, 3 edge swaps in D layer

Top view
of top layer		 Bottom view
of bottom layer
(UR UF UL UB) (DR DB DL DF)
(1,0) / (5,-1) / (-3,0) / (1,1) / (-4,2) / (1,1) / (0,-3) / (5,0)
[7|19]
(UR UB UL UF) (DR DF DL DB)
(1,0) / (0,3) / (-1,-1) / (4,-2) / (-1,-1) / (3,0) / (-5,1) / (5,0)
[7|19]
(UR UF UL UB) (DR DF DL DB)
(1,0) / (2,2) / (3,0) / (1,1) / (-3,0) / (2,2) / (3,0) / (1,1) / (-4,0)
[8|21]
(UL UR UF UB) (DR DB DL DF)
(1,0) / (3,0) / (-1,-1) / (-2,1) / (0,3) / (5,-1) / (-3,0) / (1,1) / (-3,0) / (5,-3)
[9|24]
(UL UR UF UB) (DR DF DL DB)
(1,0) / (0,3) / (-1,-1) / (1,-2) / (-3,0) / (3,0) / (-1,-1) / (3,0) / (-5,1) / (-4,0)
[9|23]
(UL UR UF UB) (DR DL DF DB)
(1,0) / (5,-1) / (3,3) / (3,0) / (1,1) / (-3,0) / (3,-3) / (5,0)
[7|19]
This page is maintained by Lars Vandenbergh CubeZone Last update on 20th December 2008