Puzzle: Cube, Face Cut, Type A, 4th Order, Vertex Cut, Type B, 2nd Order
Abbreviation: Cube FA4VB2
Commonly Known As: MasterX

Piece Counts
Name Qty Colors Orient. Perm. Orbits
Corner 24 2 None Odd None
Outer Edge 24 2 None Odd None
Inner Edge 24 2 None Odd None
Center 48 1 None Even 2

Move Types
Type Layer Period Pieces Affected Total Parity
Face 1 4 3 corner 4-cyc, 2 outer edge 4-cyc,
2 inner edge 4-cyc, 4 center 4-cyc
Odd
Face 2 4 4 center 4-cyc, 1 outer edge 4-cyc,
1 inner edge 4-cyc
Even
Vertex 1 3 1 corner 3-cyc, 1 outer edge 3-cyc Even
Vertex 2 3 1 corner 3-cyc, 1 outer edge 3-cyc,
2 inner edge 3-cyc, 4 center 3-cyc
Even

Suggested Solving Orders

Reduction
1. Group centers
2. Group inner edges
3. Group outer edges with inner edges
4. Solve corners like Cube FA2VB1
5. Solve center permutation
6. Solve edges

Important Issues and Notes
The finish centers algorithm is for the case of two triangles at Fd and a square at Ubr "swapped". It actually does more, so execute it in reverse to see what position it solves. The rest of the centers can be done intuitively, a most organized approach is easiest. Solve full centers at a time, do not "pair up" centers pieces into squares and then try to solve the centers. This makes it easier to fix the last few pieces.

As on Cube FA4, inner and outer edges can appear oriented wrongly, but this actually means they are in the wrong position. The parity of the inner and outer edges changes together, so it is always possible to group them together. If they are in an odd permutation this will become apparnent during the final solve, as it does on Cube FA4.

It is still important to solve the corners in the same way as on Cube FA2VB1 to avoid irreducible corners.

Useful Algorithms

In step 1, finish centers: d+ b- d- b+ ufl+ F- b- d+ b+ d- F+ ufl-
In step 2, three cycle inner edges: u+ R+ U+ R- u-
In step 3, three cycle outer edges: UFR+ r+ UFR- r-
In step 4, three cycle corners: ufl+ R+ ufl- R-
In step 4, three cycle corners: UFL+ (R2 B+ R- B-) UFL-
In step 4, three cycle corner groups: (R+ U+ R-) D+ (R+ U- R-) D-
In step 4, twist two corner groups: (R+ U+ R- U- R+ U+ R-) D+ (R+ U- R- U+ R+ U- R-) D-
In step 5, swap two centers: r+ U2 r- l- U2 l+
In step 5, three cycle centers (disturbs some corners): ufr+ R2 F2 U2 ufr+
In step 6, twist one corner group: UFR+ r+ UFR+ r- UFR+ r+ UFR+ r-
In step 6, parity change reduced edges: r- U2 r+ U2 r- F2 r+ F2 r- B2 r- B2 r+
In step 6, swap two reduced edges: u2 r2 U2 r2 U2 r2 u2