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Pyracube 4x4x4
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A 4x4x4 truncated on four corners.

This is one of the shape variants Jean-Claude Constantin custom built in the 1980s and 1990s. Today this puzzle would be named "Half truncated 4x4x4". The shape of this puzzle closely matches the chamfered tetrahedron.
The exact year is unknown. The year given here is an upper bound because around this time Jean-Claude Constantin stopped creating variants of the Rubiks Cube.

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