A semiconductor structure having U-shaped transistors includes source/drain regions at the tops of pairs of pillars defined by crossing trenches in the substrate. One pillar is connected to the other pillar in the pair by a ridge that extends above the surrounding trenches. The ridge and lower portions of the pillars define U-shaped channels on opposite sides of the U-shaped structure, facing a gate structure in the trenches on those opposite sides, forming a two sided surround transistor. Optionally, the space between the pillars of a pair is also filled with gate electrode material to define a three-sided surround gate transistor. One of the source/drain regions of each pair extending to a digit line and the other extending to a memory storage device, such as a capacitor. Methods of forming semiconductor structures are also disclosed.