| Description |
xvii, 174 pages : illustrations ; 22 cm |
| Contents |
Machine derived contents note: 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 |
| Notes |
Reprint of the 1946 ed. published by Sheed and Ward, New York; slightly corrected |
| Bibliography |
Includes bibliographical references |
| Subject |
Aesthetics.
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Proportion (Art)
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Proportion.
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Ratio and proportion.
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| LC no. |
77078586 |
| ISBN |
0486235424 |
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