The Golden Number: Pythagorean Rites and Rhythms in the Development of Western

Description: The first English translation of Ghyka's masterwork on sacred geometry Publisher's Preface Foreword by Paul Valéry 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: Φ 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 (Φ and 5) based on Hambidge 26. Harmonic decomposition of drawings according to Hambidge’s method 27. Egyptian harmonic drawings 28. Harmonic decomposition of the Φ 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. Mössel’s typical diagrams for an early Christian basilica and Gothic church 33. Typical Gothic designs according to Mössel 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

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