These puzzles are tetrahedral with vertex turns. Because the tetrahedron is the unique regular polyhedron to have a face opposite a vertex, all face-turning tetrahedral puzzles can also be considered to be vertex-turning, 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.
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| 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 4-move commutators of adjacent vertex turns.
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| 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 4-move commutators of adjacent vertex turns.
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| Puzzle Tv4: Gelatinbrain Number: 5.1.3 Common Name: Halpern-Meier 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 4-move 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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