The geometrical beauty of plants

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...

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Bibliographic Details
Main Author Gielis, Johan (Author)
Format Electronic eBook
LanguageEnglish
Published [Amsterdam] : Atlantis Press, [2017]
Subjects
Plant morphology.
Geometry in nature.
Pattern formation (Biology)
Symmetry (Biology)
Plants > Mathematics.
Plant anatomy > Mathematical models.
Biomathematics.
elektronické knihy
electronic books
Online AccessFull text
ISBN9789462391512
9789462391505
Physical Description1 online resource (xxv, 229 pages) : illustrations (some color)

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Table of Contents:
  • Universal Natural Shapes
  • Towards a Geometrical Theory of Morphogenesis
  • -1,-2,-3 ..., Understand The Legacy
  • Lamé Curves and Surfaces
  • Gielis Curves, Surfaces and Transformations
  • Pythagorean-Compact.
  • Generalized Intrinsic and Extrinsic Lengths in Submanifolds
  • (Meta)Harmony
  • Natural Curature Conditions
  • Bamboo Leaves and Tree Rings
  • Snowflakes and Asclepiads
  • The Pythagorean Theorem for the Third Millenium.

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