Puzzle: Cube, Edge Cut, Type A, 4th Order
Abbreviation: Cube EA4
Commonly Known As: Nothing

Piece Counts
Name Qty Colors Orient. Perm. Orbits
Corner 8 3 3, Fixed Odd None
Inner Edge 48 1 None Even 8
Outer Edge 24 2 None Odd None
Corner Center 24 1 None Odd None
Face Center 24 1 None Even 4

Move Types
Type Layer Period Pieces Affected Total Parity
Edge 1 2 1 corner swap, 2 corner center swaps,
1 outer edge swap, 2 inner edge swaps
Even
Edge 2 2 2 face center swaps, 2 inner edge swaps,
2 outer edge swaps, 1 corner center swap
Odd

Suggested Solving Orders

By Piece Type
1. Corners
2. Face Centers
3. Inner Edges
4. Corner Centers
5. Outer Edges

Important Issues and Notes
Notice the orbit-bound pieces on lower order puzzles "break out" of their orbits when inner slice turns are used. In step 4, it is often useful to use "reduced corner-twisting" (ie, twist what would the the corner of an order 2 puzzle) as setup moves.

When fixing the parity of inner edges, sometimes it is difficult to find a position where the orbits needing to be fixed are in the right positions to apply the fix. This is why two sequences are given, even though one is clearly longer than the other.

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 face centers: uf ur uf ur
In step 3, three cycle inner edges: fr UR fr UR
In step 3, swap two pairs of inner edges: (UR UF) x 3 ur (UR BR) x 3 ur BR (UF ur UF ur) BR
In step 3, swap two pair of inner edges: fr (ur uf fr) (uf ur) x 3 (fr uf ur) (UF ur) x 2 (UF fr) x 2 (UR uf) x 2 (UR fr) x 2 (UF UR) x 3 (FR ur) x 2 (FR uf) x 2
In step 4, three cycle corner centers: (UR FR UF FR) x 2
In step 4, swap two corner centers: (uf UR UL) x 6
In step 5, three cycle outer edges: (fr UR br UR fr) FD (fr UR br UR fr) FD
In step 5, three cycle outer edges: (uf ur uf ur) FR (ur uf ur uf) FR