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

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

(Autor)

Peggy Adler (Künstler)

Buch | Hardcover
224 Seiten
2012
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-4407-62-5 (ISBN)
99,95 inkl. MwSt
The term Phyllotaxis refers to the patterns on plants formed by the arrangement of repeated biological units. Over the years, the author wrote a number of papers that construct a rigorously derived mathematical model for Phyllotaxis, which are major and enduring contributions to the field. This title presents a collection of these papers.
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.

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.

Vorwort Stephen L Adler
Verlagsort Singapore
Sprache englisch
Themenwelt Mathematik / Informatik Mathematik Angewandte Mathematik
Mathematik / Informatik Mathematik Arithmetik / Zahlentheorie
ISBN-10 981-4407-62-3 / 9814407623
ISBN-13 978-981-4407-62-5 / 9789814407625
Zustand Neuware
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