Architecture and geometry in the age of the Baroque /
George L. Hersey.
- 273 pages : illustrations (chiefly colour) ; 24 cm
Includes bibliographical references (pages 225-266) and index.
Introduction -- Baroque Architecture and Baroque Geometry -- Effable Shapes -- Square-Based Proportion -- Effable Number Sequences -- The Golden Section Sequence -- The Fibonacci Sequence -- Heavenly Fabrics -- Frozen Music -- Modular Music -- Planetary Music -- Angel Music -- Architectural Acoustics -- Sounding Boxes for Preachers -- Blondel -- The Attic Bass -- Consonance and Dissonance -- Spatial Triads -- The Music of Bernini's Baldacchino -- The Light of Unseen Worlds -- Number, Light, and Music -- Projecting Images -- The Eye -- Lenses and Reflectors -- Microscopes, Telescopes, and Magic Lanterns -- Optical Domes and Lanterns -- St. Peter's -- The Invalides -- St. Paul's -- The Paris Pantheon -- Armillary Spheres and Orreries -- Boullee's Newton Tomb -- St. Bride's -- Fleet Street -- Cubices Rationes -- Engendering Geometry -- "Congruence" or Tiling -- The Cube and Its Progeny -- Pregnant Platonic Solids -- Rhombic and Archimedean Solids -- Symmetries -- What Is Symmetry? -- What Has Symmetry Been? -- Reflective Symmetry -- Translatory Symmetry -- Glide Symmetry -- Wallpaper Symmetry -- Further Adventures of the Nine-Square Lattice -- Spiral Symmetries -- Stretched Circles and Squeezed Spheres -- The Beauties of Distortion -- Ovals, Ellipses, Parabolas, and Hyperbolas -- Borromini -- St. Peter's Colonnade -- Blondel's Parabolic and Hyperbolic Openings -- Squeezed Spheres -- Packed Paraboloids -- Projection -- Projective Geometry -- Descartes's Lattice -- The Costruzione Legittima -- Girard Desargues's Perspective -- Desargues's Geometry -- Shadow Projection -- Projection in Military Architecture -- Projection and Spiral Stairs -- Epicycles -- Epicycles (and Epicycloids) -- Epicyclic Architecture -- Eccentric Epicycles -- Elliptical Epicycles -- Broken Symmetry -- Unforgotten Lore -- Geometry in the Twentietri Century -- Frank Lloyd Wright -- Le Corbusier -- The Modulor Man -- The Other Fathers of the Modulor Man -- Modulor Lattices -- Conclusion -- Notes -- Bibliography -- Index. 1. 2. 3. 4. 5. 6. 7. 8. 9.
"The age of the Baroque--a time of great strides in science and mathematics--also saw the construction of some of the world's most magnificent buildings. In this book, George L. Hersey explores the interrelations of the two developments, explaining how the advancements of geometry and the abstractions of mathematics were made concrete in the architecture of the day."--Publisher description.