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3x4x4 (cuboidal bandaged 4x4x4)
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A 4x4x4 that was bandaged and extended that tries to simulate a 3x4x4.

This is not the first 3x4x4 and not the first 4x4x4 bandaged into a 3x4x4. This puzzle takes the latter and adds some extensions to give all pieces an equal size.

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