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Half Truncated CuboidMaybe the first shape transformation of the 3x3x4.

Half Truncated Curvy CopterA Curvy Copter, truncated at four corners.

Half Truncated DominoA 2x3x3 truncated on four corners just like the Half-Truncated Cube.

Half Truncated Edges Only CubeThe name describes it perfectly. This puzzles combines the shape of the half truncated cube with the edges only cube.

Half Truncated Fisher CubeThe names describes the puzzle perfectly.

Half Truncated Ghost CubeThe Ghost Cube treated like a Half truncated Cube, aka truncated on four corners.

Half Truncated Ivy CubeAn Ivy Cube truncated on four corners.

Half Truncated Rounded 4x4x4A 4x4x4 with two rounded truncations.

Half Truncated Scramble Cube +8A Scramble Cube +4 with four additional cubies and subsequently truncated like one of the basic shape variants of the 3x3x3.

Half Truncated Star 3x3x3A Half Truncated 3x3x3 with four little pyramids on its truncated corners.

Half Turn CubeA 3x3x3 that only allows 180-degree turns.

Half Turn TetraAn edge turning pyraminx which does not change shape.

Half truncated 5x5x5One of the earliest concepts of shape transformations applied to a 5x5x5.

Half truncated bandaged cubeThis a bandaged cube with the shape of a half truncated cube.

Half turn slice cubeOne of the simplest 3x3x3 which allows only for half slice turns.