Solving The Riddle Of Phyllotaxis: Why The Fibonacci Numbers And The Golden Ratio Occur On Plants

Author:   Irving Adler (-) ,  Stephen L Adler (Inst For Advanced Study, Usa) ,  Peggy Adler (.)
Publisher:   World Scientific Publishing Co Pte Ltd
ISBN:  

9789814407625


Pages:   224
Publication Date:   07 September 2012
Format:   Hardback
Availability:   In Print   Availability explained
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Solving The Riddle Of Phyllotaxis: Why The Fibonacci Numbers And The Golden Ratio Occur On Plants


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Overview

Foreword by Stephen L Adler (Institute for Advanced Study, USA) Illustrations by Peggy Adler The term Phyllotaxis refers to the patterns on plants formed by the arrangement of repeated biological units. In nearly all cases, the Fibonacci Numbers and the Golden Ratio occur in these arrangements. This topic has long fascinated scientists. Over a period of more than two decades, Irving Adler wrote a number of papers that construct a rigorously derived mathematical model for Phyllotaxis, which are major and enduring contributions to the field. These papers are collected in this reprint volume to enable their access to a wider readership.

Full Product Details

Author:   Irving Adler (-) ,  Stephen L Adler (Inst For Advanced Study, Usa) ,  Peggy Adler (.)
Publisher:   World Scientific Publishing Co Pte Ltd
Imprint:   World Scientific Publishing Co Pte Ltd
Dimensions:   Width: 15.20cm , Height: 1.80cm , Length: 22.90cm
Weight:   0.408kg
ISBN:  

9789814407625


ISBN 10:   9814407623
Pages:   224
Publication Date:   07 September 2012
Audience:   College/higher education ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Introduction; A Model of Contact Pressure in Phyllotaxis; A Model of Space Filling in Phyllotaxis; The Consequences of Contact Pressure in Phyllotaxis; An Application of the Contact Model of Phyllotaxis to the Close Packing of Spheres around a Cylinder in Biological Fine Structure; The Role of Continued Fractions in Phyllotaxis; The Role of Mathematics in Phyllotaxis; Generating Phyllotaxis Patterns on a Cylindrical Point Lattice; A Yardstick for Measuring the Adequacy of a Model of Phyllotaxis.

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