Puzzle: Cube, Vertex Cut, Type C, 4th Order
Abbreviation: Cube VC4
Commonly Known As: Professor Skewb

Piece Counts
Name Qty Colors Orient. Perm. Orbits
Corner 8 3 3, Fixed Even 2
Edge 24 2 None Even None
Face A 12 1 None Even None
Face B 12 1 None Even None
Face C 12 1 None Even None
Center 4 1 None Even None

Move Types
Type Layer Period Pieces Affected Total Parity
Vertex 1 3 1 corner twist, 1 corner 3-cyc,
2 edge 3-cyc, 1 center 3-cyc,
3 face A 3-cyc, 3 face B 3-cyc,
2 face C 3-cyc
Even
Vertex 2 3 2 edge 3-cyc, 1 face A 3-cyc,
2 face B 3-cyc, 1 face C 3-cyc
Even

Suggested Solving Orders

Cage Method
1. Solve corners and centers as on Cube VC2
2. Solve edges
3. Solve A Faces
4. Solve B Faces
5. Solve C Faces

Important Issues and Notes
In the piece list, the A faces are closest to the corners, the B faces lie between the A faces and the centers, and the C faces lie between each pair of edges. All of the face three cycles are pure so these steps can be done in any order, the recommended way provides the easiest recognition. All of the commutators are the same basic 8-move commutator, but with different slices used.

Useful Algorithms

In step 2, three cycle edges (HSN): (R+ U+ R-) u+ (R+ U- R-) u-
In step 3, three cycle A faces (LSN): (R+ U+ R-) u+ (R+ U- R-) u-
In step 4, three cycle B faces (LSN): (R+ U+ R-) d+ (R+ U- R-) d-
In step 5, three cycle C faces (LSN): (R+ u+ R-) d+ (R+ u- R-) d-