Puzzle: Tetrahedron, Vertex Cut, Type B, 4th Order
Abbreviation: Tetra VB4
Commonly Known As: Master Pyraminx

Piece Counts

Name	Qty	Colors	Orient.	Perm.	Orbits
Tip	4	3	3, Trivial	None	None
Corner	4	3	3	None	None
Wing	12	2	None	Even	None
Edge	6	2	2, Fixed	Even	None
Center	4	1	None	Even	None

Move Types

Type	Layer	Period	Pieces Affected	Total Parity
Vertex	1	3	1 tip twist	None
Vertex	2	3	1 corner twist, 1 wing 3-cyc	Even
Vertex	3	3	1 wing 3-cyc, 1 edge 3-cyc, 1 center 3-cyc	Even

Suggested Solving Orders

Reduction Method
1. Group edges
2. Fix tips
3. Solve reduced edges
4. Solve centers

Important Issues and Notes

Useful Algorithms
In step 1, three cycle wings: U[2]+ F[23]- U+ L- U[2]-
In step 3, three cycle edges: F[23]+ U+ F- U-
In step 4, three cycle centers: (R[23]+ U+ R- U+ R+ U+ R-) (R[3]+ U[2]- R[3]- U[2]- R[3]+ U[2]- R[3]-) U[3]+
In step 4, swap two pairs of centers: (R[23]+ L- R- L+) U+ (L- R+  L+ R-)