If you took the LCD screen from a tablet. Segmented it into equally sized rectangles, and then added connection ports on the sides of each rectangle. Could you then separate and stack the rectangles on top of eachother to save space? And then fold it back out to create a tablet-sized screen again.
(Crude drawing of what I mean)
It is a bit like the foldable phone. But with two more hinges.
But then there would be a gap between one of those segments.