I think you just described a Ghost Cube, except without the misaligned layers when solved.What i'd like to see would be something like where the core remains the same but the actual shape of the puzzle is a cube oriented in a random direction/position. you could have one center "pointing" at a tip of a corner and another "pointing" at an edge piece. Random.
That's what I mean but you described it better. Anyway the point I'm getting at and what I would like to do is to do a 4x4x4 or 5x5x5 that you solve entirely by size and not by colour like the mirror block is. But maybe this will be impossible when the centre pieces and edge pieces and internal pieces need to remain same size...Not really, it's more like the core got put in a corner of the cube. The centers are centered on the core.
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