These puzzles are tetrahedral with vertex turns. Because the tetrahedron is the unique regular polyhedron to have a face opposite a vertex, all faceturning tetrahedral puzzles can also be considered to be vertexturning, and for simplicity's sake they will thus fall under the Tv classification.
 Puzzle Tv1: Gelatinbrain Number: n/a Common Name: n/a Types of Pieces: 1 fixed center, 4 trivial tips. Solution: Turn each trivial tip, in any order, to match the fixed center.

 Puzzle Tv2: Gelatinbrain Number: 5.1.1 Common Name: n/a Types of Pieces: 1 fixed center, 4 corners, 6 edges. Solution: Turn each corner, in any order, to match the fixed center. Then all edges can be solved with simple 4move commutators of adjacent vertex turns.

 Puzzle Tv3: Gelatinbrain Number: 5.1.2 Common Name: Pyraminx Types of Pieces: 4 corners, 6 edges. Solution: Turn each corner so that they are solved relative to each other. Then all edges can be solved with simple 4move commutators of adjacent vertex turns.

 Puzzle Tv4: Gelatinbrain Number: 5.1.3 Common Name: HalpernMeier Tetrahedron Types of Pieces: 4 corners, 6 edges, 4 centers. Solution: Turn each corner so that they are solved relative to each other. Then all edges can be solved with simple 4move commutators of adjacent vertex turns. If centers are unsolved they must be in a double transposition, which can be solved with (UDR UDL UDR' UDL')3.

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