Abstract: Collapsible structures are provided having at least two panels, with each of the panels having a flexible loop member defining a closed loop and adapted to assume an expanded position and a collapsed position, and a fabric for partially covering the loop member. The loop members of two adjacent first and second panels overlap each other at a first overlapping point along first edges of the loop members, and at a second overlapping point along second edges of the loop members, with the overlapping loop members defining a hinge portion about which the two loop members of the first and second panels are pivotable.