A hinged mechanism includes: panels; and hinges connecting respective pairs of the panels to each other in a closed loop so that the hinged mechanism is non-planar, wherein at least one of the hinges is a rolling-contact hinge. All of the hinges can be rolling-contact hinges. The closed-loop hinged mechanism can comprise at least four hinges, each of the at least four hinges being a sole connection between a respective adjacent pair of the panels. A cross section of rolling surfaces of the rolling-contact hinge can be circular. A cross section of rolling surfaces of the rolling-contact hinge can be non-circular.