Deployable structures are presented using regular 2N-gonal frames, which have 2N bars connected with two types of inclined revolute joints. Series expansion method shows that the frames satisfy a necessary condition for finite mechanism. The frame can be folded to a state where all bars are aligned to a rod, if the cross-section of all bars is an isosceles triangle whose vertex angle is π/N and the axes of the revolute joints are directed to the intersection of lateral faces of two adjacent bars. As an application, a dome-shaped structure that can be folded into a rod is proposed.
