Contents
Introduction 4
I.The Practice of Geometry 7
II. Sacred Geometry: Metaphor of Universal Order 16
III. The Primal Act: The Division of Unity 23
Workbook 1: The Square Cut by its Diagonal; [radical]2 25
Workbook 2: The [radical]3 and the Vesica Piscis 32
Workbook 3: The [radical]5 36
IV. Alternation 38
Workbook 4: Alternation 40
V. Proportion and the Golden Section 44
Workbook 5: The Golden Proportion 48
VI. Gnomonic Expansion and the Creation of Spirals 65
Workbook 6: Gnomonic spirals 67
VII. The Squaring of the Circle 74
Workbook 7: Squaring the circle 74
VIII. Mediation: Geometry becomes Music 80
Workbook 8 Geometry and Music 83
IX. Anthropos 90
X. The Genesis of Cosmic Volumes 96
Workbook 9: The Platonic Solids 98
Bibliography 110
Sources of Illustrations 111