A collapsible support structure includes a plurality of linked, inter-connectable segments that allow the structure to transform between a rigid structure and a flexible chain. The chain is generally extendible in a first direction while the rigid structure extends in a transverse second direction. At least a first linked segment is connectable with a second linked segment that is not immediately adjacent to the first segment within the chain. The chain may be converted to the rigid structure by wrapping the chain about an axis extending in the second direction. The segments may include an overall height and further include a coupling that is connected to an adjacent segment. The coupling may be disposed so that the adjacent segment is offset about 1/Nth of the overall height. With this coupling, the first segment may be connectable with the second segment that is N segments separated from the first segment.