Collapsible structures are disclosed. In one embodiment, the collapsible structure includes a plurality of hinges and a plurality of panels. The plurality of panels are swingably connected by the plurality of hinges so as to form at least one arch when the collapsible structure is in an erected state and so as to become at least one stack of the plurality of panels in a collapsed state. The panels allow for the collapsible structure to maintain its structural integrity when erected but to have a compact and transportable configuration when collapsed.