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: eBook
Language: English
Published: [Amsterdam] : Atlantis Press, [2017]
Subjects:
ISBN: 9789462391512
9789462391505
Physical Description: 1 online resource (xxv, 229 pages) : illustrations (some color)

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100 1 |a Gielis, Johan,  |e author. 
245 1 4 |a The geometrical beauty of plants /  |c Johan Gielis. 
264 1 |a [Amsterdam] :  |b Atlantis Press,  |c [2017] 
300 |a 1 online resource (xxv, 229 pages) :  |b illustrations (some color) 
336 |a text  |b txt  |2 rdacontent 
337 |a počítač  |b c  |2 rdamedia 
338 |a online zdroj  |b cr  |2 rdacarrier 
506 |a Plný text je dostupný pouze z IP adres počítačů Univerzity Tomáše Bati ve Zlíně nebo vzdáleným přístupem pro zaměstnance a studenty 
520 |a 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. 
504 |a Includes bibliographical references (pages 219-229). 
505 0 |6 880-01  |a 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. 
590 |a SpringerLink  |b Springer Complete eBooks 
650 0 |a Plant morphology. 
650 0 |a Geometry in nature. 
650 0 |a Pattern formation (Biology) 
650 0 |a Symmetry (Biology) 
650 0 |a Plants  |x Mathematics. 
650 0 |a Plant anatomy  |x Mathematical models. 
650 0 |a Biomathematics. 
655 7 |a elektronické knihy  |7 fd186907  |2 czenas 
655 9 |a electronic books  |2 eczenas 
776 0 8 |i Print version:  |a Gielis, Johan.  |t Geometrical beauty of plants.  |d [Amsterdam] : Atlantis Press, [2017]  |z 9789462391505  |w (DLC) 2017932536  |w (OCoLC)994784393 
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