Solid: Cube
Cut 1: Face
Sequence: A
Term: 2
Cut 2: Vertex
Sequence: C
Term: 2
| Name | Number | Colors | Permutation | Orientation | Orbits |
| Corner | 8 | 3 | Odd | 3, Free | 1 |
| Face | 24 | 1 | Odd | N/A | 1 |
Slice Summary
| Cut Type | Layer | Period | Pieces Affected | Total Parity |
| Face | 1 | 4 | 1. 1 Corner Four Cycle 2. 3 Face Four Cycles |
Even |
| Vertex | 1 | 3 | 1. 1 Corner Twist 2. 1 Corner Three Cycle 3. 4 Face Three Cycles |
Even |
Method 1
This method saves moves by solving pieces when it is easy to do so. It beats a corners first method by solving some faces and fixing the net corner twist early on. Also note that steps 1-3 are an easy small optimization to a corners-first method if a simpler solution is desired.
Step 1 - Solve one color of Faces
Solve whichever color of faces is easiest to put together quickly. This becomes the D face.
Step 2 - Solve first layer Corners
Solve the four corners around the face which was just completed. Use vertex twists to twist and insert corners, and U face turns to move corners around that layer. This step is intuitive.
Step 3 - Fix Corner Twist
In this step, set the total twist of the corners to zero. Look at the remaining four corners, noting whether each is twisted counterclockwise (+1), clockwise (-1), or untwisted (0), untwisted meaning the top face color is facing up. Add the twists up and take the modulo 3. This is the total twist of the corners; it will be either -1, 0, 1. Use the one-corner twist below to make it 0.
Twist one corner: B- D- UFR+ D+ B+
Step 4 - Solve first layer Faces
Solve rest of the first layer faces. Use only U setup moves and the three algorithms below. The algorithms cover all three possible cases. To diagnose the cases, rotate the U layer so the face piece lies in the corner above the destination corner. Then, that face can be either adjacent to its destination (cis), across from it (trans), or in the U face (super). The algorithms below are conjugated with the appropriate U turns to solve face pieces from this position (with practice these turns aren't necessary). Do as many trans cases as possible to save turns, generally it is good for 7-8 of the 8 pieces for this step.
Insert face into first layer (trans): U+ (DFR+ U+ DFR- U+ DFR+ U2 DFR-) U-
Insert face into first layer (cis): U- ((UFR- F+ R- F- UFR+) L+ (UFR- F+ R+ F- UFR+) L-) U+
Insert face into first layer (super): (L+ (UFR- F+ R- F- UFR+) L- (UFR- F+ R+ F- UFR+))
Step 5 - Solve last layer Corners
Use commutators to solve the last four corners. Permute them, then orient them. If they are in an odd permutation, use one U turn to change this. The three cycle algorithm cycles corners couterclockwise and the UFL corner stays in place. The two-swap algorithm swaps UFR<=>UBR and UFL<=>UBL. For corner twisting, if all four corners need to be twisted, begin by orienting one corner, then the other three. There are also more direct algorithms for these positions elsewhere on the internet.
Three cycle corners: R+ (U- L- U+) R- (U- L+ U+)
Two-swap corners: (F+ D+ F- R-) U2 (R+ F+ D- F-) U2
Twist three corners: R+ U+ R- U+ R+ U2 R- U2
Twist two corners: R+ U+ R- U+ R+ U2 R2 U- R+ U- R- U2 R+
Step 6 - Solve remaining Faces
Use the commutator provided to finish the puzzle. The commutator is written with the UFRL or UDFR faces and corners because those are most natural for most people to use. However, as written it cycles pieces in the F face (not the U face), so do a cube rotation before beginning this step.
Three cycle faces: (UFL- U+ L- U- F- L- F+ L+ UFL+) R+ (UFL- L- F- L+ F+ U+ L+ U- UFL+) R-
Three cycle faces: (UFR- R+ U- R- F- U- F+ U+ UFR+) D+ (UFR- U- F- U+ F+ R+ U+ R- UFR+) D-