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The Hyperoid puzzle with additional connections between the outer and inner puzzle.
If one rotates a face with an arrow on one of the edges (the edge of the cube with the arrow is connected with the edge of the octahedron inside), then the angle of the octahedron in the center of this face is rotated.
If one rotates a face on which there are no edges with an arrow, then the inner octahedron does not rotate. But one can rotate the inner corner regardless of the face of the cube.
So far the inventor has made versions 2-4 with as many connectors.
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