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A Rex Cube newly designed to include the corners of a Compy Cube
The Rex Cube can be viewed as Master Skewb without corners. The Raptor Cube goes the other way: It adds some corners but those of the internal puzzle, the Compy Cube.
Images 5-6 show a pillowed version by Seth Holiday.
Piece type signature: HC2[C1 F3 E3 X9][C1]
Edge length: 57 mm
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