A transaction product has an account identifier and includes a series of interconnected, hinged puzzle segments. The various hinged segments may be collectively manipulated to reveal a variety of surfaces, graphics, and indicia. The transaction card may include a number of three-dimensional segments (e.g., eight polyhedral segments) interconnected such that each segment is hingedly connected to two other segments via a hinge structure, wherein the hinge structures on any given cube are orthogonal to each other, resulting in a closed chain of transformations. The hinge structures may be formed via skin components (e.g., plastic, paper, or other laminate media) bonded directly to respective pairs of the three-dimensional segments. The account identifier is associated with the housing and links the transaction product to an account or record having a value configured to be used toward one or more of a purchase and a use of goods or services.