Abstract: A collapsible and self-erecting polyhedron system is provided. The system includes a collapsible and self-erecting box. The box comprises cardboard and includes outer surfaces upon which images (e.g., photographic reproductions), graphics, and text are printed to provide a three-dimensional greeting card. The three-dimensional greeting card (the box) is collapsed and placed into an envelope, and upon being removed from the envelope, automatically self-erects providing a fun and exciting experience. Confetti also is included within the box that is ejected during the box self-erecting, thereby providing even more enjoyment.