Abstract: A segmented frame structure for a convertible boat top including first and second segmented frame members, with the second frame member being pivotally connected to the first so that the second member can be pivoted into a closed position adjacent to the first frame member. Each of the frame members includes a plurality of frame segments which are pivotally connected by hinge structures that provide for stability and integrity of the segmented structure in an operative condition, but which allow the segments of each frame member to be folded transversely upon themselves to yield a configuration of substantially reduced size to facilitate storage and shipment. The principles of the invention are applicable to multi-frame top structures for yielding further reductions in storage and shipping volumes.