1. A mathematical model, the model being comprised of basis objects, each basis object being defined by a mathematical function, each basis object having a spatial relationship to all of the other basis objects, the basis objects and the spatial relationships between the basis objects defining a three-dimensional (3-D) geometry of the model, the model being stored on a computer-readable medium, wherein the model is capable of being transformed by one or more transformation operators, each transformation operator being associated with a predetermined transformation operation, wherein when one of the transformation operators operates on one of the basis objects, the spatial relationship between the basis object that is operated on and at least one other basis object is varied, thereby causing the geometry of the model to be varied.