Architecture and Geometry in the Age of the Baroque

1. INTRODUCTION
Baroque Architecture and Baroque Geometry; Effable Shapes; Square-Based Proportion; Effable Number Sequences; The Golden Section Sequence; The Fibonacci Sequence; Heavenly Fabrics
2. 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
3. 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 Panthéon; Armillary Spheres and Orreries; Boullé's Newton Tomb; St. Bride's, Fleet Street
4. CUBICES RATIONES
Engendering Geometry; "Congruence" or Tilling; The Cube and Its Progeny; Pregnant Platonic Solids; Rhombic and Archimedean Solids
5. SYMMETRIES
What is Symmetry? What Has Symmetry Been? Reflective Symmetry; Translatory Symmetry; Glide Symmetry; Wallpaper Symmetry; Further Advances of the Nine-Square Lattice; Spiral Symmetries
6. 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
7. 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
8. EPICYCLES
Epicycles (and Epicycloids); Epicyclic Architecture; Eccentric Epicycles; Elliptical Epicycles; Broken Symmetry
9. UNFORGOTTEN LORE
Geometry in the Twentieth Century; Frank Lloyd Wright; Le Corbusier; The Modulor Man; The Other Fathers of the Modulor Man; Modulor Lattices
Conclusion
Notes
Bibliography
Index