If cavorite faces itself then its effect cancels out...

So a folding book is a good idea. But I don't think a simple hinge would work: for the second or so when it's opening the anti-gravity effect faces in the wrong direction. That would make the craft very unstable. I need to think about this some more.

Should we build little motors for rapidly opening the cavorite sheets? Or should we control cavorite by rolling it like a window blind? Or do something else?