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Hybrid (face- and corner-turning hexahedron)
3x3x3 Rainbow CubeA hybrid puzzle which combines the twisting abilities of a 3x3x3 and a rainbow cube.
AlphaminxThe first puzzle in a series of Truncated Kleetopes -- this version is a Truncated Triakis Tetrahedron.
ComboctahedronA hybrid puzzle. It looks like the face turning octahedron and the magic octahedron but allows the moves from both puzzles.

Concept 11 - DaYan Gem IIIA hybrid puzzle in the most appropriate shape of a truncated octahedron.
Coner 3x3x3A hybrid between face turning and cornerturning hexahedron.
Coner 3x3x3 IIA hybrid between face turning and cornerturning hexahedron. Compared with the first version there are different cuts.

Curvy Dino 2x2x2 CubeAn enhanced version of the Curvy Dino Cube which adds the abilities of a 2x2x2.
Dino 3x3x3A hybrid of 3x3x3 and Dino cube.
Dino Rhombic DodecahedronA fully vertex-turning rhombic dodecahedron with 14 possible turns.

Hyper XA hybrid puzzle which combines the 2x2x2 with a Master Skewb
Lattice XA hybrid puzzle of Super-X and Lattice Cube
Master Skewb 3x3x3A hybrid puzzle of a face turning and cornerturning hexahedra. In this case the cutting depth of a 3x3x3 and a Master Skewb are combined.

Redi 3x3x3A hybrid puzzle consisting of the abilities of a Redi Cube and a 3x3x3.
Rex 3x3x3A hybrid puzzle combining the 3x3x3 with a rex cube.
Rex Rhombic Dodecahedron (RRD)A vertexturning rhombic dodecahedron. Both sets of vertices allow turning.

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