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The Geometrical Beauty of Plants

Authors: Gielis, Johan

  • 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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Buy this book

eBook $54.99
price for USA (gross)
  • ISBN 978-94-6239-151-2
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $69.99
price for USA
  • ISBN 978-94-6239-150-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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.

Table of contents (12 chapters)

  • Universal Natural Shapes

    Gielis, Johan

    Pages 3-5

  • Towards a Geometrical Theory of Morphogenesis

    Gielis, Johan

    Pages 7-20

  • −1, −2, −3……, Understand the Legacy

    Gielis, Johan

    Pages 23-41

  • Lamé Curves and Surfaces

    Gielis, Johan

    Pages 43-55

  • Gielis Curves, Surfaces and Transformations

    Gielis, Johan

    Pages 57-83

Buy this book

eBook $54.99
price for USA (gross)
  • ISBN 978-94-6239-151-2
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $69.99
price for USA
  • ISBN 978-94-6239-150-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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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 and Tables
16 b/w illustrations, 98 illustrations in colour
Topics