A foldable, frameless emergency shelter is constructed from a radial array of bendable yet rigid panels such as of a foamed plastic. Panels have adjoining edges with matching convexly curved profiles. The edges are always held to each other with a flexible fastener such as an adhesive tape. During erection, a flat panel inherently deforms into a curved cylindrical tapered shape enclosing a space. A door and an optional floor are provided. The shelter has a rigid conical cap including holes for guy ropes, a door and an optional window.