Solving the Riddle of Phyllotaxis: Why the Fibonacci Numbers and the Golden Ratio Occur on Plants

Overview

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...

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Overview

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.

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Product Details

  • ISBN-13: 9789814407625
  • Publisher: World Scientific Publishing Company, Incorporated
  • Publication date: 7/28/2012
  • Pages: 205
  • Product dimensions: 5.80 (w) x 9.00 (h) x 0.90 (d)

Table of Contents

Foreword Stephen L. Adler vii

A Model of Contact Pressure in Phyllotaxis 1

A Model of Space Filling in Phyllotaxis 81

The Consequences of Contact Pressure in Phyllotaxis 91

An Application of the Contact Pressure Model of Phyllotaxis to the Close Packing of Spheres around a Cylinder in Biological Fine Structure 141

The Role of Continued Fractions in Phyllotaxis 153

The Role of Mathematics in Phyllotaxis 171

Generating Phyllotaxis Patterns on a Cylindrical Point Lattice 175

Vita and Afterword 207

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