§ 3x3x4 tutorial

This method consists of 4 steps:

1. Middle first layer
   1. aligning centers
   2. solving edges (wings)
2. Middle second layer
   1. solving edges (wings)
   2. solving centers
3. The first layer
   1. making the cross
   2. solving corners
4. The last layer
   1. solving corners
   2. solving edges
   3. parity?

Be aware of the notation: small letters like u mean slice turns, suffix w represents double layer turns.

§ Middle first layer

1. Orient centers of this layer correctly according to the color scheme. Holding white side on bottom colors should go clockwise in this order: blue, orange, green, red. This step is pretty intuitive.
2. Solve wings using corner insertion algorithm (R2 Uw R2 Uw' R2) like on big cubes.

§ Middle second layer

1. Use this table to solve wings:

case	pic	alg
Headlights		(R2 Uw R2 Uw' R2) y' (R2 Uw' R2 Uw R2)
Diagonal		(R2 Dw' R2 Uw) (R2 Uw' R2 Dw) R2 Uw' R2 Uw R2 Uw R2

2. Use this table to solve centers:

case	pic	alg
Adjacent center swap		R2 Uw R2 Uw R2 Uw2 R2 Uw2 R2 Uw R2 Uw' R2
Opposite center swap		(R2 Uw2)3
H perm		M2 Uw' M2 Uw2 M2 Uw' M2
Z perm		Uw2 (M2 Uw M2 Uw) x' (U2 M2 U2 M2) x

§ The first layer

1. Move target edge to the top, replace it with correct edge, undo.
2. Solve corners using corner insertion algorithm (R2 U R2 U' R2). Don't rotate the cube, just the first layer, or you gonna ruin solved stuff.

§ The last layer

1. Use this table to solve corners:

case	pic	alg
Headlights		(R2 U R2 U' R2) U' D (R2 U' R2 U R2) D'
Diagonal		(R2 D' R2 U) (R2 U' R2 D) R2 U' R2 U R2 U R2

2. Use this table to solve edges:

case	pic	alg
Adjacent edge swap		R2 U R2 U R2 U2 R2 U2 R2 U R2 U' R2
Opposite edge swap		(R2 U2)3
H perm		M2 U' M2 U2 M2 U' M2
Z perm		U2 (M2 U M2 U) x' (U2 M2 U2 M2) x

3. If you have something like below, do parity alg: Uw2 R2 F2 u2 F2 R2 Uw2.