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A 3x3x3 truncated on six of its eight corners.
This truncated 3x3x3 is part of a series of 22 shape variants. A cube (in this case: a 3x3x3) can be regularly truncated on (0..8) corners. The case for 0 corners results in the non-truncated 3x3x3. 8 corners result in the truncated Trajbers Octahedron. The third-most prominent variant of this series is the Half Truncated Cube where four corners are truncated.
In total there are 22 different variants. Three of them are truncated on six corners. The Non-Rectangle Twilighter is distinguished from the Tri-Rectangle Twilighter only by its two non-truncated corners.
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