Proclaiming that we have nothing to lose but our corners, an international cadre of architects, historians, and structural engineers leads the struggle to liberate our buildings from their quadrilateral right angles. They invoke the attitudes of earlier 20th- century champions of polyhedra, such as Bruce Goff, Louis Kahn, and Philip Johnson; describe the triumph of geodesic domes and I. M. Pei's Javits Convention Center; and explore the theoretical aspects of polyhedra, their bonds with the cube, and their specific structure. Illustrated mostly in black and white, with many drawings and a few photographs. Annotation c. by Book News, Inc., Portland, Or.