The Geometrical Beauty of Plants

Authors: Gielis, Johan

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  • Step-by-step explanation of Gielis curves, surfaces and transformations and their properties
  • The book provides new insights in the relationship between botany and mathematics
  • The book illustrates the emergence of beauty and harmony from mathematics
  • The book bridges the gap between (differential) geometry and algebra
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  • ISBN 978-94-6239-151-2
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About this book

This book focuses on the origin of the Gielis curves, surfaces and transformations in the plant sciences. It is shown how these transformations, as a generalization of the Pythagorean Theorem, play an essential role in plant morphology and development. New insights show how plants can be understood as developing mathematical equations, which opens the possibility of directly solving analytically any boundary value problems (stress, diffusion, vibration...) . The book illustrates how form, development and evolution of plants unveil as a musical symphony. The reader will gain insight in how the methods are applicable in many divers scientific and technological fields.

Reviews

“The book is a monograph describing his research into the mathematical principles underlying plant morphology originally prompted by his study of the cross-sectional shapes of bamboo stems. … This book should be of interest to anyone who works in biological morphology because it describes a quantitative way of describing biological shapes.” (Computing Reviews, March, 2018)​

Table of contents (12 chapters)

Table of contents (12 chapters)

Buy this book

eBook n/a
  • ISBN 978-94-6239-151-2
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
Hardcover n/a
  • ISBN 978-94-6239-150-5
  • Free shipping for individuals worldwide
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Bibliographic Information

Bibliographic Information
Book Title
The Geometrical Beauty of Plants
Authors
Copyright
2017
Publisher
Atlantis Press
Copyright Holder
Atlantis Press and the author(s)
eBook ISBN
978-94-6239-151-2
DOI
10.2991/978-94-6239-151-2
Hardcover ISBN
978-94-6239-150-5
Edition Number
1
Number of Pages
XXV, 229
Number of Illustrations
16 b/w illustrations, 98 illustrations in colour
Topics