*By David J. Salvia. Last Updated: 06/14/11*

See definitions for a description of the terms.

- 1: All Up All in
**F' L' U L U2 F R U' R' U2**- Just being silly. :0

- 2: All up Two Out
**R U' L U2 R' U R U2 R' L'**- The corners that are out of place are in the front.
- L' U R' U2 L U' L' U2 R L
- The inverse

- 3: All Up Reverse

- 4: Three Down All In
**R U R' U R U2 R'**- The corner that is up is on the left front of the up side.
- R U2 R' U' R U' R'
- Inverse

- 5: Three Down All In
**L' U' L U' L' U2 L**- The corner that is up is on the right front of the up side.
- L' U2 L U L' U L
- Inverse

- 6: Three Down Two Out
**R U' L' U R' U' L**- The corner that is upright is on the left front of the up side. The two corners that are in place are on the right. This rotates three corners clockwise.

- 7: Three Down Two Out
**L' U R U' L U R'**- The corner that is upright is on the right front of the up side. The two corners that are in place are on the left. This rotates three corners counterclockwise.

- 8: Three Down Two Out
**B R2 B2 R F2 R' B2 R F2 R B'**- The corner that is upright is on the left back of the up side. The corners that are in place are on the right. This rotates three corners clockwise.

- 9: Three Down Two Out
**B R' F2 R' B2 R F2 R' B2 R2 B'**- The corner that is upright is on the left back of the up side. The corners that are in place are on the front. This rotates three corners counterclockwise.

- 10: Three Down Two Out
**R U2 R' U2 R' F R F'**- Upright corner is on the right front top. The two corners that are in place are in the front.
- R U2 R' U2 L' U R U' R' L
- If you don't want to flip edges

- 11: Three Down Two Out
**L' U2 L U2 L F' L' F**- Upright corner is on the left front top. The two corners that are in place are on the front. This rotates three corners clockwise.
- L' U2 L U2 R U' L' U R' L
- If you don't want to flip edges

- 12: Three Down Two Out
**F' L F L' U2 L' U2 L**- Upright corner is on the right front top. The corners that are in are on the right. Rotates three corners counterclockwise.
- R L' U' L U R' U2 L' U2 L
- If you don't want to flip edges

- 13: Three Down Two Out
**F R' F' R U2 R U2 R'**- Upright corner is on the left front top. The corners that are in are on the left. This rotates three corners clockwise.
- R L' U L U R U2 L' U2 L
- If you don't want to flip edges

- 14: Three Down Two Out
**F' L F L' U2 L' U2 L**- Upright corner is on the right front top. The two corners that are in place are in the right. Rotates three corners counterclockwise.
- R L' U' L U R' U2 L' U2 L
- If you don't want to flip edges

- 15: Three Down Reverse
**R U2 L' U R' U' L U' R U' R'**- The corner that is upright is on the left back of the up side. This rotates three corners counterclockwise.

- 16: Three Down Reverse
**R U R' U L' U R U' L U2 R'**- The corner that is upright is on the right back of the up side. This rotates three corners clockwise.

- 17: Headlights All In
**L' U2 L U L' U L R U2 R' U' R U' R'**- Upright corners are on the right.

- 18: Headlights Reverse
**R' U' F' U F R**- Headlights face you. This is the most done in the fewest moves for the Last Level. Corners reversed two rotated; edges swapped two flipped.
- R' F' U' F U R
- Inverse
- L U F U' F' L'
- Left Handed
- L F U F' U' L'
- LH Inverse
- R U R' U R L' U R' U' L U' R U' R'
- If you don't want to flip edges
- R U R' U R L' U R' U' R L U2 R'
- Headlights facing right

- 19: Headlights Two Out
**R U' L' U R' U2 QU2 F' U F R**- The headlights are the corners that are out of place and are on the right.
- R' F' U' F U2 QU2 R U'L U R'
- Inverse

- 20: Headlights Two Out
**R2 D R' U2 R D' R' U2 R'**- Headlights are facing you. In corners are on the right.

- 21: Headlights Two Out
**L2 D' L U2 L' D L U2 L**- Headlights are facing you. In corners are on the left.

- 22: Headlights Two Out
**R2 B2 R F2 R' B2 R F2 R**- Headlights are facing you and are in place.

- 23: Sidelights All In
**R U R' U R U2 R' L' U' L U' L' U2 L**- Sidelights on the left. Not the most efficient algorithm.

- 24: Sidelights Reverse
**R U' R' U' F' U2 F R' F R F'**- Sidelights are on the left.

- 25: Sidelights Two Out
**R' F2 R' B2 R F2 R' B2 R2**- Sidelights are in place and on the left.

- 26: Sidelights Two Out
**R U' L U R' L' U2 L U L'**- Sidelights are out of place and are facing you.

- 27: Sidelights Two Out
**R B L' B' R' B L B'**- Sidelights are on the right. Corners in front are in place. Variation: Sidelights are on the left. Corners in back are in place.
- R U R' U' R' F R F'
- Flips two edges

- 28: Sidelights Two Out
**L' B' R B L B' R' B**- Sidelights are on the left. Corners in front are in place. Variation: Sidelights are on the right. Corners in back are in place.
- L' U' L U L F' L' F
- Flips two edges

- 29: Oddlights All In
**R U R' U R U2 R' QU2 R U2 R' U' R U' R'**- Oddlight on Left Front is facing you. Not the most efficient algorithm.

- 30: Oddlights Reverse
**R U2 L' U R' U' R L U2 R'**- Oddlight on Right Front is facing right. One of my favorite algorithms.

- 31: Oddlights Two out
**R U2 R D R' U2 R D' R2**- Oddlight on Left Front. Corners in Front are in place.

- 32: Oddlights Two out
**L' U2 L' D' L U2 L' D L2**- Oddlight on Right Front. Corners in Front are in place.

- 33: Oddlights Two out
**B L' B' R B L B' R'**- Oddlight on Left Front facing left. Corners on right are in place.

- 34: Oddlights Two out
**B' R B L' B' R' B L**- Oddlight on Right Front facing right. Corners on left are in place.

- 35: Wheels All In
**R U R' U R U' R' U R U2 R'**- Wheels facing right and left.

- 36: Wheels reverse
**(R U' L' U R' U' L) * 2**- Wheels facing right and left.
- R2 D' F' R2 F R' U2 R F' R2 F D R2 U2
- Variation; flips two edges

- 37: Wheels Two Out
**R B L' B' R' B L U2 B2 U' B2 U' B2 U2 B**- Wheels facing right and left. Corners in front are in place. Not the most efficient.

- 38: Wheels Two Out

- 39: Barrow All In
**R U2 R2 U' R2 U' R2 U2 R**- Wheel barrow facing the right.

- 40: Barrow Reverse
**R' F' U' F U' R U R' U R**- Wheel barrow facing right.

- 41: Barrow Two Out
**L' U R U' L U R2 U' R U' R' U2 R**- Wheelbarrow facing you. The corners that are in place are on the left.

- 42: Barrow Two Out
**R U' L' U R' U' L2 U L' U L U2 L'**- Wheelbarrow facing you. The corners that are in place are on the right.

- 43: Barrow Two Out
**R B L' B' R' B L B' R U2 R' U' R U' R'**- Barrow facing away. Corners in place are in front. Not the most efficient.

- 44: Barrow Two Out
**R U' L' U R' U L U L' U L**- Barrow facing right. Corners that are in place are on the right. Definitely one of my favorite algorithms.

- 45: Barrow Two Out
**L' U R U' L U' R' U' R U' R'**- Barrow facing left. Corners that are in place are on the left.

The color of the "Up" side on a LL corner is the "face" of that corner. Corners may be "in" place or "out" of place relative to each other. The corner have 3 positions, and 7 orientation.

The 3 positions are All In, "Two out" and "Reverse." "All In" means that the corners are all in place relative to each other, "Two out" means any two adjacent corners are swapped, and "Reverse" means that the corner positions are reversed, which can be seen as the Right Front corner swapping places with the Left Back corner, or as the Left Front corner swapping places with the Right Back corner.

The 7 orientations are as follows.

- All Up
- All the corners on the Last Level are upright.
- Three Down
- Three corners on the Last Level are rotated clockwise or counterclockwise.
- Headlights
- Two corners on the Last Level are upright, two are rotated to face the same direction, like headlights on a car.
- Sidelights
- Two corners on the Last Level are upright, two are rotated to face away from each other.
- Oddlights
- Two corners on the Last Level are upright, two are rotated: Right Front and Left Rear or Right Rear or Left Front.
- Wheels
- All four corners on the Last Level are rotated, two pairs face away from each other, like wheels on a car.
- Barrow
- All four corners on the Last Level are rotated, two face away from each other like wheels on the front of a wheel barrow, and two face the same direction like handles on a wheel barrow.