- 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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- About this book
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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
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“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)
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Universal Natural Shapes
Pages 3-5
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Towards a Geometrical Theory of Morphogenesis
Pages 7-20
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−1, −2, −3……, Understand the Legacy
Pages 23-41
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Lamé Curves and Surfaces
Pages 43-55
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Gielis Curves, Surfaces and Transformations
Pages 57-83
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Table of contents (12 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- The Geometrical Beauty of Plants
- Authors
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- Johan Gielis
- 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
