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A bandaged simple bump cube. And one that does not behave bandaged.
This modification of a 3x3x3 combines several concepts. Firstly the 3x3x3 was bumped in one dimension which means the center was moved outward of the solids center along one of the puzzle axis.
Secondly the puzzle was bandaged two times. The puzzle now has 1x2x3-block which includes the core and an edge-face-edge-block adjacent to the first one. The result is a subgroup of the 3x3x3 that does not behave like a bandaged cube: All twists that are possible in the solved state are possible in every other state as well.
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