Includes bibliographical references (pages 125-128) and index.
The origins of four-dimensional geometry -- Fantasies of four-dimensional space -- The fourth dimension in painting -- The truth -- A very short course in projective geometry -- Patterns, crystals, and projections -- Twistors and projections -- Entanglement, quantum geometry, and projective reality -- Category theory, higher-dimensional algebra, and the dimension ladder -- The computer revolution in four-dimensional geometry -- Conclusion : art, math, and technical drawing