Puzzle: Octahedron, Face Cut, Type A, 2nd Order
Abbreviation: Octa FA2
Commonly Known As: Skewb Diamond

Piece Counts
Name Qty Colors Orient. Perm. Orbits
Corner 6 4 2, Fixed Even None
Center 8 1 None Even 2

Move Types
Type Layer Period Pieces Affected Total Parity
Face 1 3 1 corner 3-cyc, 1 center 3-cyc Even

Suggested Solving Orders

Block Build Start
1. Build a block of 2 centers and 2 corners
2. Place centers, (0-2 moves)
3. Place corners, orient some if possible
4. Orient corners

Important Issues and Notes
The faces move like the corners of Cube VC2 (because of duality) so they are pretty easy to solve.

Corners only twist in 180 degree increments, despite having 4 colors.

Useful Algorithms
In step 3, three cycle corners (DFN): (R+ U+ R-) D+ (R+ U- R-) D-
In step 4, twist two corners (DFN): (R+ U+ R- U- R+ U+ R-) D+ (R+ U- R- U+ R+ U- R-) D-