Puzzle: Tetrahedron, Edge Cut, Type A, 2nd Order
Abbreviation: Tetra EA2
Commonly Known As: Nothing

Piece Counts

Name	Qty	Colors	Orient.	Perm.	Orbits
Outer Corner	4	3	None	Odd	None
Inner Corner	12	2	None	Odd	3
Outer Edge	6	2	2	None	None
Inner Edge	6	2	2	None	None
Inner Face	12	1	None	Even	3
Middle Face	24	1	None	Even	6
Outer Face	12	1	None	Odd	3
Spindle	1	4	None	None	None

Move Types

Type	Layer	Period	Pieces Affected	Total Parity
Edge	1	2	1 outer corner swap, 1 inner corner swap, 2 outer face swap, 2 middle face swap, 1 outer edge flip	Even
Edge	2	2	2 inner corner swap, 1 outer face swap, 2 middle face swap, 2 inner face swap, 1 inner edge flip	Odd

Suggested Solving Orders

Method
1. Twist all edges correctly
2. Solve inner corners relative to outer and inner edges
3. Solve outer corners, all outer edges to flip
4. Resolve outer edges
5. Solve faces

Important Issues and Notes
The real intent of step 2 is to get the inner corners solved relative to the inner edges and aligned with their corresponding outer edge. Then in step 3 they get flipped around with their inner edge but not moved away from it, so step 4 resolves them while correcting the inner edges.

Useful Algorithms
In step 2, three cycle inner corners: FR fl FR fl
In step 4, flip two outer edges: UR FR UF FR
In step 5, three cycle outer faces: (FR UF FL UF) x 2
In step 5, three cycle middle faces: (FR [UF uf] fl [UF uf]) x 2
In step 5, three cycle inner faces: (fr [UF uf] fl [UF uf]) x 2