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3x3x4
Half Truncated CuboidMaybe the first shape transformation of the 3x3x4.
Heaven's CuboidThe concept of the Ghost Cube applied to a 3x3x4 with the offset layers along the 4-layered axis.
Hell's CuboidThe concept of the Ghost Cube applied to a 3x3x4 with the offset layers along the 3-layered axis.

Madness 3x3x3A 3x3x4 with one layer removed to make it look like a 3x3x3.
Mirror 3x3x4 BarrelA bumped version of a 3x3x4 in shape of a cylinder.
N-CubeA 3x3x4 with some external pieces truncated and internal pieces stickered.

Phantom CubeA fully functional 3x3x4 by Katsuhiko Okamoto.
Phantom Mirror blockThe concept of the Bump Cube applied to a 3x3x4.
Tanners DominoAt first it looks like a pillowed 2x3x3 (aka Domino) but it is a 3x3x4 shaved down to the size of a 3x3x3.

TerakingThe 3x3x4 transformed into a tetrahedron with two layers fishered.
Teraking CubicoA 3x3x4 transformed into a cube with an axised orientation.

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