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I think you would have to design it into the mechanism, and probably just have something which achieves the same effect without being exactly analogous for the mechs which are currently used. Several cubes already have a similar feature, with varying amounts of success depending on how well it was implemented. I've put a little bit of thought into modding the cubes I have to achieve the effect of torpedoes (especially my D+M 4x4), but I don't think I can be easily done, although I noticed that it would be relatively easy to change that mech just a small amount to make it far more stable.
I have thought of this too and the only ways I can see 100% pop resistance would be if the anchors had the side hooks go into the 2x2 shells thus making it impossible to pop.
I don't think that's the solution. As far as I can see, if anything attached to the wing pieces (assuming that's what we're trying to stop popping) goes inside the 2x2x2 shell, the puzzle can no longer function correctly (try visualising what would happen during different twists and you will see the bandaging). They would have to hook under the corners in order to function correctly. One day I may try and do some mod to achieve this, but it would probably take a very large amount of work, and I'm not even sure it can be done.
Thanks for all the replies. This is a real revolutionary thing to ponder apon.
It think it is possible if a 2x2 would be designed like a normal 3x3 in the fact that it is not bandaged. It would have to have the misalignment mechanism of the Shenshou 6x6 if you want an easier to make but poorer turn quality puzzle or a Shenshou 4x4 model misalignment mechanism for a more difficult to make but also a better quality puzzle.
It's not impossible I just has not been made yet. If I knew how to design cubes in solid works and had access to a 3D printer that is at the same if not better quality then the shapeways one. Sadly the only on nearby is one at school which is significantly lower quality then is needed to make these puzzles. It is also not available to me anyway.