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5x6x7 Floppy I-cube Extreme
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A bandaged 7x7x7 with three layers removed on two sides.

The 5x6x7 I-cube has 2 faces that has been modded, the orange face which is 2 layers deep and the green face which is 3 layers deep. The inventor chose 2 adjacent faces and not 2 opposite ones to make the five layers on one axis, because he thought that it would make the puzzle less symmetrical and therefore more challenging.
The bandaging is so extreme that a proper scramble is difficult enough to do, let alone to solve it.

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