Big Cubes (5x5+)

Once you solve a 4x4, you can solve a 5x5, 6x6, 7x7, and even a 19x19. The method is always Reduction.

The Hierarchy

• Odd Cubes (3x3, 5x5, 7x7): Have fixed centers. NO Parity on the edge-flipping step. Easier.
• Even Cubes (2x2, 4x4, 6x6): No fixed centers. Have Parity. Harder.

5x5 Walkthrough (The Professor’s Cube)

1. Centers (9 pieces each)

Solve the 3x3 block in the middle of each face.

• Tip: Solve bars (1x3 lines) and attach them.

2. Edge Pairing (3 pieces each)

You need to join the middle edge + two wing edges.

• Use the Freeslice Method: Keep the M-slice free to build edges, then store them in the top/bottom layers.

3. 3x3 Stage

Now it is just a giant 3x3.

• Solve it with CFOP.
• Parity? 5x5 has NO OLL Parity (flipped edge). It can have PLL Parity (swapped edges) only in the very last step.

6x6 and Beyond

• Centers: Build them from the inside out (1x2 center -> 2x2 -> 2x4 -> 4x4).
• Edges: Use the “Redux” method to pair 4, 5, or 6 edge pieces at a time.
• Patience: A 7x7 solve can take 5-10 minutes for a beginner.