Puzzle: Octahedron, Vertex Cut, Type B, 5th Order
Abbreviation: Octa VB5
Commonly Known As: Professor Trajer's Octahedron

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

Move Types
Type Layer Period Pieces Affected Total Parity
Vertex 1 4 1 corner twist, 1 wing 4-cyc, 1 edge 4-cyc,
1 face corner 4-cyc, 2 face edge 4-cyc,
1 face center 4-cyc
Even
Vertex 2 4 1 wing 4-cyc, 2 face corner 4-cyc,
1 face edge 4-cyc
Even

Suggested Solving Orders

Cage Method
1. Group edges and wings
2. Solve edge groups
3. Solve face centers
4. Solve face edges and face corners

Important Issues and Notes
This puzzle is the dual of Cube FA5.

Useful Algorithms

In step 1, fix parity: u- (Ff+ Uu- Rr+ U+) x 4
In step 2, three cycle edge groups: F+ U+ F-
In step 3, three cycle face centers: (R+ U+ R-) D+ (R+ U- R-) D-
In step 4, three cycle face edges: (R+ u+ R-) D+ (R+ u- R-) D-
In step 4, three cycle face corners: (r+ u+ r-) D+ (r+ u- r-) D-