Puzzle: Octahedron, Vertex Cut, Type A, 4th Order
Abbreviation: Octa VA4
Commonly Known As: Master Octahedron

Piece Counts
Name Qty Colors Orient. Perm. Orbits
Tip 6 4 4, Trivial None None
Center 6 4 4 None None
Wing 24 2 None Odd None
Edge 12 2 2, Fixed Odd None
Face 8 1 None Odd None

Move Types
Type Layer Period Pieces Affected Total Parity
Vertex 1 4 1 tip twist None
Vertex 2 4 1 corner twist, 1 wing 4-cyc Odd
Vertex 3 4 1 edge 4-cyc, 1 wing 4-cyc, 1 face 4-cyc Odd

Suggested Solving Orders

Reduction
1. Group edges
2. Solve edges and centers like VA3, solve some faces if possible
3. Solve faces

Important Issues and Notes
Because the cube is the dual of the octahedon, once the edges have been paired there are many similarities to Cube FA3.

Useful Algorithms
In step 1, three cycle edges: U[2]- (R[23]- U- F-) U[2]+
In step 1, fix parity: U[2]- (F[23]+ U- R+ U[3]+) x 4
In step 3, three cycle faces: (R[3]+ U+ R-) D+ (R+ U- R-) D-