Puzzle: Tetrahedron, Vertex Cut, Type C, 2nd Order
Abbreviation: Tetra VC2
Commonly Known As: Halpern-Meier Pyramid

Piece Counts

Name	Qty	Colors	Orient.	Perm.	Orbits
Corner	4	3	3, Fixed	None	None
Edge	6	2	2, Fixed	Even	None
Face	4	1	None	Even	None

Move Types

Type	Layer	Period	Pieces Affected	Total Parity
Vertex	1	3	1 corner twist, 1 edge 3-cyc, 1 face 3-cyc	Even

Suggested Solving Orders

Cage Method
1. Solve edges and corners
2. Solve faces

Important Issues and Notes
A three cycle of faces is not possible, so the two-swap algorithm provided is enough. Notice that the faces resemble one orbit of Octa FA2 centers, and the corners resemble one orbit of Cube VC2 corners, and that Cube VC2 and Octa FA2 are duals. These three puzzles are members of the Skewb Family, and in real life all share the same internal mechanism.

Useful Algorithms
In step 2, swap two pairs of centers: (R+ L- R- L+) U+ (L- R+ L+ R-) U-