Puzzle: Cube, Edge Cut, Type B, 2nd Order
Abbreviation: Cube EB2
Commonly Known As: Nothing

Piece Counts
Name Qty Colors Orient. Perm. Orbits
Corner 8 3 3, Fixed Odd None
SubCorner 24 1 None Odd None
Outer Edge 24 2 None Odd None
Inner Edge 48 1 None Even 2
Large Wing 48 1 None Even 2
Small Wing 48 1 None Even 2
SubCenter 48 1 None Even 2
Center 24 1 None Even None

Move Types
Type Layer Period Pieces Affected Total Parity
Edge 1 2 1 corner swap, 2 subcorner swaps, 3 outer edge swaps,
4 inner edge swaps, 4 small wing swaps, 2 large wing swaps,
2 center swaps, 4 subcenter swaps
Even
Edge 2 2 1 subcorner swap, 2 outer edge swaps, 6 inner edge swaps,
4 large wing swaps, 2 small wing swaps,
2 subcenter swaps, 2 center swaps
Even

Suggested Solving Orders

By Piece Type
1. Solve corners
2. Solve subcorners
3. Solve subcenters
4. Solve centers
5. Solve large wings and outer edges
6. Solve small wings and inner edges

Important Issues and Notes
Regarding possible parity issues, the parity of the outer edges is linked to the parity of the corners, so solving corners first avoids a problem. This is similar to how a single edge flip situation is avoided on the EB1 puzzle. The parity of the subcorners is not an issue because of the availability of identical pieces.

For step 2, inner slice turns are a single swap subcorners which does not disturb any corners. Unfortunately these slices do not inferface with each other so outer turns are necessary.

Two piece types are solved in steps 5 and 6 because the algorithms provided allow those piece types for be solved simultaneously.

Useful Algorithms

In step 1, twist two corners: (UR UB UL UF) FR (UF UL UB UR) FR
In step 1, twist three corners: (UF UR UB UL) x 3
In step 2, three cycle subcorners: UR uf UR uf
In step 3, three cycle subcenters: (UR UF) x 3 ub (UR UF) x 3 ub
In step 4, three cycle centers: ur fr ur fr
In step 5, three cycle large wings: (ur fl ur fl) FR (fl ur fl ur) FR
In step 5, three cycle outer edges: UR fl UR fl
In step 6, three cycle small wings: (UR fl UR fl) (ul FR ul) (fl UR fl UR) (ul FR ul)
In step 6, three cycle inner edges: (UR fl UR fl) fr (fl UR fl UR) fr
In step 6, three cycle inner edges: (ur fl ur fl) fr (fl ur fl ur) fr
In step 6, three cycle inner edges: (ur ul ur ul) fr (ur ul ur ul) fr