Constituting the framework of this article are a general overview of the architectural style of one of the foremost figures of contemporary architecture, Frank Gehry, as well as the preliminary results of an effort to review particularly the Nationale-Nederlanden building by the architect through the mathematical concepts of symmetry, similarity and equivalence. The study, which starts on the shell forms of the architectural projects realized by the architect from past to present in general, is detailed through the Nationale-Nederlanden building in particular. ``Could symmetry or similarity in the structural elements be an issue in the review of the building---popularly named `Fred and Ginger' or the `Dancing House?' What sort of balance does it establish with the area it is situated in? Which architectural period does it resemble? What conclusions may be drawn when the shell architecture is taken as a sculpture?'' are few of the questions we seek to answer.