Preface viii
To the Student xv
To the Instructor xvii
Acknowledgments xix
About the Author xx
1 Music of the Spheres 3
2 The Golden Ratio 39
3 The Triangle 63
4 Ad Quadratum and the Sacred Cut 93
5 Polygons, Tilings, and Sacred
6 The Circle 167
7 Circular Designs in Architecture 195
8 Squaring the Circle 229
9 The Ellipse and the Spiral 247
10 The Solids 281
11 The Sphere and Celestial Themes in Art and Architecture 319
12 Brunelleschi’s Peepshow and the Origins of Perspective 363
13 Fractals 393
SUMMARY 415
Appendices 421
Index 499
Photo Credits 523
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