Puzzle: Octahedron, Vertex Cut, Type A, 5th Order
Abbreviation: Octa VA5
Commonly Known As: Nothing

Piece Counts
Name Qty Colors Orient. Perm. Orbits
Tip 6 4 4, Trivial None None
Center 6 4 4 None None
Outer Edge 24 2 None Odd None
Middle Edge 24 2 None Odd None
Inner Edge 12 2 2, Fixed Odd None
Outer Face 24 1 None Odd None
Inner 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 center twist, 1 outer edge 4-cyc Odd
Vertex 3 4 1 middle edge 4-cyc, 1 middle edge 4-cyc,
1 outer face 4-cyc
Odd
Vertex 4 4 1 middle edge 4-cyc, 1 outer edge 4-cyc
2 outer face 4-cyc, 1 innter face 4-cyc
Odd

Suggested Solving Orders

Cage
1. Group inner and middle edges
2. Group outer edges to complete edge groups
3. Solve edges, tips and centers, like Octa VA3
4. Solve inner faces
5. Solve outer faces

Important Issues and Notes
Reducing edges by solving entire edge groups at a time is also possible.
Steps 4 and 5 (and 3 actually) can be done in parallel.

Useful Algorithms

In step 1, fix parity: U[4]- (F[234]+ U- R+ U[23]+) x 4
In step 2, fix parity: U[2]- (F[234]+ U- R+ U[34]+) x 4
In step 4, three cycle inner faces: (R[4]+ U+ R-) D+ (R+ U- R-) D-
In step 4, three cycle outer faces: (R[4]+ U+ R-) D[3]+ (R[4]+ U- R-) D[3]-