Puzzle: Octahedron, Edge Cut, Type B, 1st Order
Abbreviation: Octa EB1
Commonly Known As: Nothing

Piece Counts

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

Move Types

Type	Layer	Period	Pieces Affected	Total Parity
Edge	1	2	1 corner swap, 3 wing swaps, 2 face swaps, 1 center swap	Odd

Suggested Solving Orders

By Piece Type
1. Corners
2. Faces
3. Wings
4. Centers

Important Issues and Notes
The orbits of the faces impose a weird restriction on how the corners must be solved. This is because each orbit of faces does not have a piece of each color. On Octa EA1 the fixed edges provide reference points and keep this from becoming a problem. Each face contains pieces of three orbits. Faces opposite each other contain pieces from the same three orbits.

Each orbit contains one piece of six different colors. The domain of each orbit can be traces by following the line connecting the long sides of each face piece around the puzzle. The two faces which each orbit skips are opposite each other. The three pieces of each color may only come together on two different faces, which are opposite each other.

Step one should be done by solving four faces around a corner using that corner as a reference point. After that the next four faces will be forced into the correct places.

Useful Algorithms
In step 1, three cycle faces: FR UF FR UF
In step 1, twist two corners: (DR (UR UF FR) DR) DL (DR (FR UF UR) DR) DL
In step 2, three cycle corners: FR FL FR FL
In step 3, three cycle wings: (FR DF FL DF) x 2
In step 3, useful set up move 1: (UF UR FR)
In step 3, useful set up move 2: (FR DR DF) (UF UR FR)
In step 4, three cycle centers: (FR DF FL DF) x 2 UL (DF FL FD FR) x 2 UL
In step 4, useful set up move: UR UB (ie, UR UB [3-cycle] UB UR)