3x3 ROUX TUTORIAL

Example 1

Face green with white on top, and do this scramble:
F R L' F R' U L U2 D' B' U F L' U' D L F U2 D' R U2 B' U' L' B

Now face the blue center with the orange center on top. This puts the blue/white edge in its DL spot, so we already have a head start on the first block.

1st block: RuF' r'DB'D'B

2nd block: rUr' U' r'U'r

CMLL: U R'U' RUR'F' RUR'U' R'FR2

EO: U MU'M

UL/UR: U M2 U'

M Slice: M' U2 M U2 M2

(41 moves total)

Example 2

Face green with white on top, and do this scramble:
L B' R' L B F' U L D' L2 R2 U2 L D2 B R2 D2 F2 B U B L R' U R

Now face the red center with the yellow center on top. This puts blue center in place, and the blue/white edge is only a D2 away from its DL spot.

1st block: D'B D'rF U'r U2rB'

2nd block: R2U'r'U'r2 R'U'R2U'r' U2rUr'

CMLL: U' R'F2RU2 rU'r' F

EO: M'U M'U'M U' M'U'M'

UL/UR: U M2 U'

M Slice: skip

(45 moves total)

Example 3

Face green with white on top, and do this scramble:
L' U L R2 F2 U' F' U' F B' L' R' U2 R2 U' B' L B2 F2 R' D2 L' R2 U2 F

Now face the green center with the yellow center on top. This puts the blue/white edge in its DL spot.

1st block: r'D2 r'R'U FUr'f

2nd block: U'r'U' rU'r RUR2U'R UrU'r'

CMLL: U' RUR'U' R'FR2U'R'U RUR'F'

EO: M'U'M' U2 M'UM'

UL/UR: U M2 U

M slice: U2 M2 U2 M2

(53 moves total)

I've covered the basics of the Roux method, but this rabbit hole goes deeper.