Rubik's Cube

I did not come up with this way to solve the cube, I am just copying it for easy access if I remember that this page exists.

Notation: Up, Down, Front, Back, Left, Right. Superscript ^-1 = counterclockwise.

Layer 1: Top face

• Choose a face to solve first, keep it on top (U).
• Edges first: Place the 4 edge pieces intuitively, ensuring colours match on the side faces too. If an edge is in the right position but flipped, hold the bad face as F and run: F-1 U L-1 U-1
• Corners: For each corner:
  1. Bring the corner piece directly below where it needs to go.
  2. Orient the cube so that piece is in the F-R-D corner.
  3. Repeat R-1 D-1 R D until it snaps into place correctly.

Layer 2: Middle layer

• Flip the cube so the solved layer is now D (and stays there).
• Find a middle-layer edge piece in U, rotate U until its side colour matches the correct face, then hold that face as F.
• Run the appropriate algorithm depending on which direction the piece needs to go:
  • Left: U-1 L-1 U L U F U-1 F-1
  • Right: U R U-1 R-1 U-1 F-1 U F
• If a piece is already stuck in the middle layer (wrong position), use either algorithm to kick it up to U, then re-insert it.

Layer 3: Top layer

Orient the edges (form a cross on top)

Only look at the top face colours for now; ignore side colours. Repeat F R U R-1 U-1 F-1 as needed:

1. No edges correct: run the algorithm with any face as F.
2. An "L" shape: hold the L in the upper-left of U, run the algorithm.
3. A line: hold it parallel to F, run the algorithm once more.

Permute the edges (put them in the right place)

Rotate U until at least 2 edge pieces are in their correct side position.

• Two correct edges opposite each other: hold one as F, run R U R-1 U R U2 R-1. This gives two adjacent correct edges.
• Two correct edges adjacent: hold them at the back-right, run R U R-1 U R U2 R-1, then U.

Permute the corners (right positions, ignore orientation)

Hold a correctly placed corner in the bottom-right of U (if one exists). Repeat as needed: U R U-1 L-1 U R-1 U-1 L

If no corner is correct, any face will do. Run the algorithm once to get one correct, then proceed.

Step 4: Orient the corners (final step)

Hold a misoriented corner in the bottom-right of U and repeat R-1 D-1 R D until that corner is correct. Then rotate U to bring the next misoriented corner to the bottom-right and repeat. Do not rotate the whole cube.

Note: The cube will look scrambled during this step, that's normal. Once all corners are oriented, a final U rotation should complete the solve.