Uneasy Coincidence? Massive Urbanization and New Exotic Geometries with Algebraic Geometry as an Extreme Example

We investigate the recent coincidence of rapid global urbanization and unprecedented formal freedom in architectural design and ask whether this coincidence is an uneasy one. To study an extreme case of the new exotic geometries made possible through CAAD, we employ algebraic surfaces to experimentally design architecture in an university-based research and experimental design project. Such surfaces exhibit unprecedented complexity and new geometric and topological features yet are highly sound and harmonious. We continue and extend our research presented at the eCAADe 2009 conference in Istanbul.