Puzzle: Cube, Face Cut, Type A, 4th Order, Edge Cut, Type A, 4th Order
Abbreviation: Cube FA4EA4
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	2
Outer Edge	24	2	None	Odd	None
Corner Center	24	1	None	Odd	None
Face Center	24	1	None	Odd	None

Move Types

Type	Layer	Period	Pieces Affected	Total Parity
Face	1	4	1 corner 4-cyc, 4 inner edge 4-cyc, 2 outer edge 4-cyc, 3 corner center 4-cyc, 1 face center 4-cyc	Odd
Face	2	4	2 inner edge 4-cyc, 1 outer edge 4-cyc, 2 face center 4-cyc	Odd
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
The parity fixes needed for Cube EA4 are not needed here because of the face turning ability.
A parity could occur in step 5 because an odd number of face layer 2 moves will result in an odd permutation of outer edges, even when all other parities are made even.

Useful Algorithms
In step 1, twist two corners: U+ UF FR UF U- 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 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
In step 5, swap two outer edges: (r- U2 r+ U2 r- F2 r+ F2 r- B2 r- B2 r+) (F2 [r2 l2] F2 [r2 l2]) (u2 r2 U2 r2 U2 r2 u2) (R2 (UF ur [UB ub] BR [UB ub] ur) x 2 R2) (L2 (UF ul [UB ub] BL [UB ub] ul) x 2 L2)