Puzzle: Tetrahedron, Edge Cut, Type C, 3rd Order
Abbreviation: Tetra EC3
Commonly Known As: Mastermorphix

Piece Counts
Name Qty Colors Orient. Perm. Orbits
Corner 4 3 None Odd None
Edge 6 2 2 None None
Face 12 1 None Even 3
Center 4 1 None Odd None

Move Types
Type Layer Period Pieces Affected Total Parity
Edge 1 2 1 corner swap, 1 edge flip,
2 face swaps, 1 center swap
Even

Suggested Solving Orders

By Piece Type
1. Intuitively solve corners around correct edges
2. Solve centers
3. Orient edges
4. Solve faces

Important Issues and Notes
This puzzle is a dual to Cube FA3, however it is contrainted to 180 degree turns.

Useful Algorithms

In step 2, two-swap centers: UF FR UR FR
In step 3, flip two edges: (FR FL) x 3
In step 4, three cycle faces: (FR UF FL UF) x 2