Reduction
Turn the 5x5 into a big 3x3: six centers, twelve edges, then solve it like a 3x3.
5x5 cube12 lessons72 cases
Steps
Centers3 lessons
Lesson 1
The first four centers
Build 1x3 bars and lift them with the r slice. The fourth center must sit next to the third.
7 cases
Lesson 2
Last two centers: full column
Six cases where the front's right column has all three pieces wrong. Every algorithm is made of r U r' groups.
6 cases
Lesson 3
Last two centers: one or two pieces
Twelve cases where the front's right column has only one or two pieces wrong, including the source's two core algorithms.
12 cases
Edge pairing2 lessons
Solve it like a 3x37 lessons
Lesson 6
White cross
Build a white cross on top. The second color of each white edge must match its side center.
3 cases
Lesson 7
White corners
Place the four white corners to finish the white layer. White stays on top, with one short algorithm for each way white can face.
4 cases
Lesson 8
Middle layer
Turn the white layer to the bottom, then insert the four middle edges with two mirror algorithms.
3 cases
Lesson 9
Yellow cross
Make a yellow cross on top with two short, almost identical algorithms.
3 cases
Lesson 10
Yellow face
Make the whole top yellow. There are seven shapes, learned with one algorithm or one per shape.
14 cases
Lesson 11
Yellow corners
Move the four yellow corners into place with one algorithm, done once or twice.
2 cases
Lesson 12
Yellow edges
Move the four yellow edges into place to finish the cube.
3 cases