A collapsible structure has first and second flexible loop members, each loop member defining a closed loop and having a first side and an opposing second side, each loop member adapted to assume an expanded position and a collapsed position, with the two loop members overlapping each other at a first overlapping point along the first sides of the loop members, and at a second overlapping point along the second sides of the loop members. The loop members are adapted to assume a deployed position in which one loop member is disposed at an angle with respect to the other loop member at the overlapping points, so that the structure defines a top side, four vertical sides, and a bottom side when in the loop members are in the deployed position. The structure also includes a flexible wall extending across the four vertical sides and the bottom side to define an interior space.