| Description |
1 online resource (xxx, 582 pages) : illustrations |
| Series |
K & E series on knots and everything ; v. 28 |
|
K & E series on knots and everything ; v. 28.
|
| Contents |
Machine generated contents note: pt. I Essays in Geometry and Number as They Arise in Nature, Music, Architecture and Design -- Ch. 1 Spiral in Nature and Myth -- Ch. 2 Vortex of Life -- App. 2.A Homogeneous Coordinates -- Ch. 3 Harmonic Law -- App. 3.A.1 Logarithms and the Logarithmic Spiral -- App. 3.A.2 Properties of Logarithms -- App. 3.A.3 Logarithms and the Musical Scale -- App. 3.B Pythagorean Comma -- App. 3.C Vectors -- Ch. 4 Projective Nature of the Musical Scale -- Ch. 5 Music of the Spheres -- App. 5.A Kepler's Ratios -- Ch. 6 Tangrams and Amish Quilts -- App. 6.A.1 Steps to creating a triangular grid of circles -- App. 6.A.2 Steps to creating a square circle grid -- Ch. 7 Linking Proportions, Architecture, and Music -- App. 7.A Ancient Babylonian Method for Finding the Square Root of 2 -- Ch. 8 Secret of Ancient Geometry -- App. 8.A Harmonic Means -- ̂ |
| Summary |
This book consists of essays that stand on their own but are also loosely connected. Part I documents how numbers and geometry arise in several cultural contexts and in nature: the ancient musical scale, proportion in architecture, ancient geometry, megalithic stone circles, the hidden pavements of the Laurentian library, the shapes of the Hebrew letters, and the shapes of biological forms. The focus is on how certain numbers, such as the golden and silver means, present themselves within these systems. Part II shows how many of the same numbers and number sequences are related to the modern mathematical study of numbers, dynamical systems, chaos, and fractals |
| Bibliography |
Includes bibliographical references (pages 565-576) and index |
| Notes |
Print version record |
| Subject |
Geometry.
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Mathematics.
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Design.
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Industrial design.
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geometry.
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mathematics.
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applied mathematics.
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design (discipline)
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industrial design.
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MATHEMATICS -- Geometry -- General.
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Industrial design
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Design
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Geometry
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Mathematics
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Getallen.
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Meetkunde.
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Natuur.
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Bouwkunst.
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Muziek.
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| Form |
Electronic book
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| LC no. |
2003271506 |
| ISBN |
9789812778444 |
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9812778446 |
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9789810247010 |
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981024701X |
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9789810247027 |
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9810247028 |
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