Puzzle: Tetrahedron, Edge Cut, Type B, 4th Order
Abbreviation: Tetra EB4
Commonly Known As: Nothing

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

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

Suggested Solving Orders

By Piece Type
1. Corners
2. Edges
3. Edge Faces
4. Centers
5. Corner centers

Important Issues and Notes
The algorithm provided for step 3 should be enough, even though it isn't a three-cycle.

Useful Algorithms

In step 3, swap two pairs of edge faces: (fr ur fr ur) UF (fr ur fr ur) UF
In step 4, three cycle centers: (fr UF fl UF) x 2
In step 4, four cycle centers: (uf fr ur) x 3
In step 5, three cycle corner centers: (FR UF FL UF) x 2