20080629

TPCP: Type Tv

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.

Tv1

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.

Tv2

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.

Tv3

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.

Tv4

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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