Above:Solved
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A Cutter Cube with parts looking like those from the Bermuda Cube.
Fibik's means FIsher + ruBIK'S.
The inventor made it from some Bermuda Cubes. Mechanically this puzzle is equivalent to the Cutter Cube (also in the museum) but with the disproportionate pieces from the Bermuda Cubes it looks like a traditional 3x3x3 in its solved state.
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