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The Golden Number
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Table of Contents

Publisher's Preface

Foreword by Paul Valery

Introduction


Part 1 RHYTHMS

Chapter 1
From Number to Harmony

Chapter 2 The Divine Proportion

Chapter 3 The Geometric Canons of Mediterranean Architecture

Chapter 4 The Orchestration of Volumes and Architectural Harmony

Chapter 5 From Rhythm to Incantation

Chapter 6
From Incantation to Love

Part 2 Rites

Chapter 7 Pythagoras

Chapter 8 The Lamp under the Bushel

Chapter 9 Esotericism and Politics:From Plato's Cave to the Masonic Lodges

Chapter 10 Modern Science and the Return to Pythagoras

Chapter 11 Life Force, Rhythm, and Duration

Chapter 12 The Phoenix of Metapontum and the Duel of the Magicians

Conclusion

Index

ILLUSTRATIONS

1. Polygonal figurate numbers and gnomons

2. Golden section, pentagon, pentagram, phi rectangle

3. The five regular polyhedrons (Platonic solids)

4. The five Platonic solids inscribed inside one another

5. Star dodecahedron with twenty vertices

6. Star dodecahedron with twelve vertices

7. Icosahedron and dodecahedron by Leonardo da Vinci for Pacioli's Divina Proportione

8. Semi-regular polyhedrons by Leonardo da Vinci

9. Star dodecahedron and stella octangula by Leonardo da Vinci

10. Pentagonal symmetries: rectangle and spiral of harmonious growth

11. Three growth patterns governed by the golden section

12. Hexagonal symmetries (crystals)

13. Pentamerous flowers

14. Pentamerous calyx (Symphytum officinale)

15. Cardium pseudolima and Solarium perspectivum

16. Nautilus pompilius and Triton tritonis (X-rays)

17. Man-Microcosm according to Agrippa von Nettesheim and the directing icosahedron in the choreography manual by R. von Laban

18. Miss Helen Wills (Mrs. F. Moody)

19. Harmonic analysis of the previous photograph

20. Explanation of the diagram in plate

21. Isabella d'Este, by Leonardo da Vinci

22. Male nude, harmonic analysis (square and golden section)

23. The "Microcosm"

24. Hellenistic bas-relief

25. Harmonic rectangles ( and 5) based on Hambidge

26. Harmonic decomposition of drawings according to Hambidge's method

27. Egyptian harmonic drawings

28. Harmonic decomposition of the rectangle

29. Systems of proportion obtained by the polar segmentation of the circle

30. Plans of an Egyptian temple and the rock temple of Mira

31. Typical Greek temple designs

32. Moessel's typical diagrams for an early Christian basilica and Gothic church

33. Typical Gothic designs according to Moessel

34. Establishing the transverse proportion of Gothic naves

35. Canon of Pythagoras

36. Relationship between the Pythagorean scale and the columns of Greek temples

37. Milan cathedral; plan reproduced by Caesariano in his commentary on Virtruvius

38. Milan cathedral (elevation and vertical section by Caesar Caesariano, 1521)

39. Explanatory diagram for plate

40. Small temple of Minerva in Rome, harmonic analysis

41. Pantheon of Rome, harmonic analysis

42. San Stefano Rotunda in Rome, harmonic analysis

43.
Explanatory diagram for the San Stefano plan

44. The Great Pyramid, meridian section

45. Miloutine Borissavlievitch's optico-physiological perspectivism

46. Projected analogies by Miloutine Borissavlievitch's perspectivism

47. Hieronymus Bosch, The Garden of Earthly Delights

48. Maat, goddess of truth

49. Rose window of Amiens, magical pentacles, cinquefoil from the Saint-Chapelle

50. Masons' marks

51. Gothic masons' marks

52. Gothic symphony (Burgos cathedral)

53. Baroque catharsis (Melk Abbey)

54. Baroque catharsis (Melk Abbey)

55. Baroque catharsis, monstrance

56. The mystic handshake

57. Square and plumb line on a funerary mosaic in Pompeii

58. Christ the "Initiate," Saint Stephen's Cathedral, Vienna

59. Le Corbusier and Pierre Jeanneret, regulating drawings

60. Le Corbusier and Pierre Jeanneret, regulating drawing

61. Harmonic variations on the dodecahedron

62. Harmonic variations on the icosahedron

63. Lilies

64. Ancient nude: Bronze in the style of Polykleitos

65. Another view of plate

66. The new Nordic naturism

About the Author

Prince Matila Costiesco Ghyka (1881-1965) was a Romanian mathematician, historian, philosopher, and diplomat, who served as the Plenipotentiary Minister in the United Kingdom during the late 1930s. He was also a visiting professor of aesthetics at the University of Southern California and at the Mary Washington College in Virginia. His previous books in English include The Geometry of Art and Life and an autobiography, The World Mine Oyster. Though his prolific literary output includes fiction, poetry, and philosophy, the overarching concern of his work was a synthesis of higher mathematics and the arts.

Reviews

"Finally ... a complete translation of Matila Ghyka's masterwork. This foundational book is essential reading for anyone interested in the golden section, harmony, proportion, and beauty in nature, art, and architecture." * David Fideler, author of Restoring the Soul of the World *
"Matila Ghyka's The Golden Number is the most comprehensive and convincing demonstration that the golden ratio is indeed, as Pythagoras had posed it, the root number of the universe, expressed both in the living plants and animals and in matter forms at all scales--from galaxies, to crystals, to quantum waves--thus ever-present in mathematics, cosmology, architecture, music, and art at large. Jon Graham's excellent translation couldn't be more of a treasure trove at this time." * Chris H. Hardy, Ph.D., author of The Sacred Network *

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