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    The Geometry of Art and Life (Paperback) By (author) Matila Ghyka

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    DescriptionFor the philosopher, scientist, archaeologist, art historian, biologist, poet and artist, as well as the general reader who wants to understand more about the fascinating properties of numbers and geometry, and their relationship to art and life, this is a thought-provoking book.


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    Title
    The Geometry of Art and Life
    Authors and contributors
    By (author) Matila Ghyka
    Physical properties
    Format: Paperback
    Number of pages: 208
    Width: 132 mm
    Height: 213 mm
    Thickness: 13 mm
    Weight: 249 g
    Language
    English
    ISBN
    ISBN 13: 9780486235424
    ISBN 10: 0486235424
    Classifications

    BIC E4L: MAT
    Nielsen BookScan Product Class 3: S7.8
    B&T Book Type: NF
    Warengruppen-Systematik des deutschen Buchhandels: 25810
    Ingram Subject Code: AT
    B&T Merchandise Category: SCI
    B&T General Subject: 710
    Libri: I-AT
    BIC subject category V2: PBM
    LC subject heading:
    BIC subject category V2: PBP
    DC22: 701.17
    DC21: 701.17
    BISAC V2.8: PHI001000, SCI000000, MAT012000, SCI003000, ART009000
    LC subject heading: ,
    BISAC V2.8: MAT000000
    DC22: 701/.17
    LC subject heading:
    LC classification: N7430.G47
    LC subject heading:
    BISAC V2.8: ART021000
    LC subject heading:
    LC classification: N7430 .G47 1977
    Thema V1.0: PBP, PBM
    Edition
    2, Revised
    Edition statement
    Revised edition
    Illustrations note
    64 figures, 80 plates
    Publisher
    Dover Publications Inc.
    Imprint name
    Dover Publications Inc.
    Publication date
    01 March 1978
    Publication City/Country
    New York
    Table of contents
    CHAPTER I PROPORTION IN SPACE AND TIME   Ratio and proportion.   "The simplest asymmetrical division of a measurable whole into two parts, and Ockham's principle of economy."   Generalisation of the concept of proportion.   "Arithmetical, geometrical and harmonic proportion."   The ten types of proportion.   "Proportion, symmetry, eurhythmy."   Rhythm in space and proportion in time. CHAPTER II THE GOLDEN SECTION   Algebraical and geometrical properties of the Golden Section or Number F.   The Fibonacci Series and the Golden Section.   The F Rectangle.   "Phyllotaxis and "Ideal Angle" in botany."   The Golden Section and pentagonal symmetry. CHAPTER III GEOMETRICAL SHAPES ON THE PLANE   Polygons.   Regular polygons and star-polygons.   "Remarkable triangles: Triangle of Pythagoras, Triangle of Price, "Sublime" Triangle."   Rectangles: the F Rectangle and the vF Rectangle.   "Pentagon, pentagram, decagon, and Golden Section."   Hexagon and oxtagon. CHAPTER IV GEOMETRICAL SHAPES IN SPACE   The five regular polyhedra or Platonic bodies.   The thirteen semiregular Archimedian bodies.   Regular prisms and anti-prisms.   The two continuous star-dodecahedra of Kepler.   "The dodecahedron, the icosahedron and the Golden Section."   Other remarkable volumes.   "The "Chamber of the King" in the Great Pyramid."   "The Great Pyramid, star-dodecahedron, and the human body."   Regular hypersolids in the fourth dimension. CHAPTER V THE REGULAR PARTITIONS ON THE PLANE AND IN SPACE   "Equipartitions and partitions of the plane, regular and semi-regular."   Equipartitions and partitions of space.   Crystal lattices.   Hexagonal and cubic symmetries.   The cuboctahedron and the close-packing of spheres.   "The principle of least action, most general law for inorganic systems." CHAPTER VI THE GEOMETRY OF LIFE   Harmonious growth and logarithmic spiral.   Pentagonal symmetry in living organisms.   "Pentagon, F Spiral and Golden Section."   Flowers and shells.   The human body and the F Progression. CHAPTER VII THE TRANSMISSION OF GEOMETRICAL SYMBOLS AND PLANS   Life and Legend of Pythagoras.   Pythagorean number-mystic.   "The Pythagorean tradition, the pentagram, decad and tetrakytus."   Neo-Pythagorism and Kabbala.   From the antique builders' guilds to the masons' guilds of the Middle Ages.   Masons' marks and fundamental design.   Masonic traditions and symbols. CHAPTER VIII GREEK AND GOTHIC CANONS OF PROPORTION   Rediscovery of the Greek and Gothic canons of architecture.   Proportions and dynamic symmetry.   The dynamic rectangles of Hambidge and the directing circles of Moessel.   "Greek vases, Greek temples, and the human body."   Gothic master plans. CHAPTER IX SYMPHONIC COMPOSITION   Periodic rediscovery of the Golden Section.   Seurat's divisionism.   Revival of Pythagorean doctrine in science and art.   "Modern applications of dynamic symmetry in architecture, painting, and decorative art."   Symphonic composition.