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Matryoshka Cube
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Two different subsets of the 3x3x3 with one turn per axis in one puzzle.

This puzzle is essentially an Enabler Cube nested inside a Fused Cube. This means that when one Fused Cube layer is turned, two corresponding layers on the inner cube turn.
The resulting cube has some samples of these piece types:
Faces, corners, edges, inverted faces and inverted edges.

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