On the Interpretation of Phenomena of Phyllotaxis PDF Download
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Author: Arthur Harry Church
Publisher:
ISBN:
Category : Phyllotaxis
Languages : en
Pages : 80
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Book Description
Author: Arthur Harry Church
Publisher:
ISBN:
Category : Phyllotaxis
Languages : en
Pages : 80
Get Book Here
Book Description
Author: Arthur Harry Church
Publisher:
ISBN:
Category : Growth (Plants)
Languages : en
Pages : 432
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Book Description
Author: Roger V. Jean
Publisher: World Scientific
ISBN: 9789810226213
Category : Science
Languages : en
Pages : 900
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Book Description
The book deals with biological, mathematical, descriptive, causal and systemic phyllotaxis. It aims at reflecting the widest possible range of ideas and research closely related to phyllotaxis and contains 30 well illustrated chapters.The book has three parts of equal importance. The first two parts concern data collecting, pattern recognition and pattern generation to which students of phyllotaxis are well accustomed. The third part is devoted to the problem of origins of phyllotactic patterns, giving the field of phyllotaxis the universality it requires to be fully understood.Phyllotaxis-like patterns are found in places where genes are not necessarily present. Part III concerns general comparative morphology, homologies with phyllotactic patterns, and recent trends on evolution that can help to understand phyllotaxis.The distinguished researchers who accepted to participate in the production of this book, strongly contributed to the field of phyllotaxis in the past and have devoted a lot of their time to the fascinating subject coming up with most valuable findings, or are newcomers with original ideas that may be very relevant for the future of the field. The book summarizes and updates their contributions, and promotes new avenues in the treatment of phyllotaxis.This book on mathematical and biological phyllotaxis is the first collective book ever. A landmark in the history of phyllotaxis.
Author: Irving Adler
Publisher: World Scientific Publishing Company Incorporated
ISBN: 9789814407625
Category : Mathematics
Languages : en
Pages : 205
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Book Description
Foreword by Stephen L Adler (Institute for Advanced Study, USA) Illustrations by Peggy Adler The term Phyllotaxis refers to the patterns on plants formed by the arrangement of repeated biological units. In nearly all cases, the Fibonacci Numbers and the Golden Ratio occur in these arrangements. This topic has long fascinated scientists. Over a period of more than two decades, Irving Adler wrote a number of papers that construct a rigorously derived mathematical model for Phyllotaxis, which are major and enduring contributions to the field. These papers are collected in this reprint volume to enable their access to a wider readership.
Author: Harold Scott Macdonald Coxeter
Publisher:
ISBN:
Category :
Languages : en
Pages : 22
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Book Description
Author: Boris Rozin
Publisher: BrownWalker Press
ISBN: 1627347488
Category : Science
Languages : en
Pages : 186
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Book Description
This book is devoted to anyone who is in search of beauty in mathematics, and mathematics in the beauty around us. Attempting to combine mathematical rigor and magnificence of the visual perception, the author is presenting the mathematical study of phyllotaxis, the most beautiful phenomenon of the living nature. The distinctive feature of this book is an animation feature that explains the work of mathematical models and the transformation of 3D space. The analysis of the phyllotactic pattern as a system of discrete objects together with the mathematical tools of generalized sequences made it possible to find a universal algorithm for calculating the divergence angle. In addition, it is serving as a new proof of the fundamental theorem of phyllotaxis and analytically confirming well-known formulas obtained intuitively earlier as well as casting some doubts on a few stereotypes existing in mathematical phyllotaxis. The presentation of phyllotaxis morphogenesis as a recursive process allowed the author to formulate the hydraulic model of phyllotaxis morphogenesis and propose a method for its experimental verification. With the help of artificial intelligence, the author offered methodology for the digital measurement of phyllotaxis allowing a transition to a qualitatively new level in the study of plant morphogenesis. Due to the successful combination of mathematical constructions and their visual presentation, the materials of this study are comprehensible to readers with high school advanced mathematical levels.
Author: Francisco Pugnaire
Publisher: CRC Press
ISBN: 1420007629
Category : Nature
Languages : en
Pages : 748
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Book Description
Following in the footsteps of the successful first edition, Functional Plant Ecology, Second Edition remains the most authoritative resource in this multidisciplinary field. Extensively revised and updated, this book investigates plant structure and behavior across the ecological spectrum. It features the ecology and evolution of plant crowns and a
Author: Louis P. Ronse De Craene
Publisher: Cambridge University Press
ISBN: 1108911196
Category : Science
Languages : en
Pages : 549
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Book Description
Floral morphology is key for understanding floral evolution and plant identification. Floral diagrams are two-dimensional representations of flowers that replace extensive descriptions or elaborate drawings to convey information in a clear and unbiased way. Following the same outline as the first edition, this comprehensive guide includes updated and relevant literature, represents the latest phylogeny, and features 28 new diagrams. Diagrams are presented in the context of the most recent classifications, covering a variety of families and illustrating the floral diversity of major groups of plants. A strong didactic tool for observing and understanding floral structures, these diagrams are the obvious counterpart to any genetic study in flowering plants and to the discussion of major adaptations and evolutionary trends of flowers. This book is invaluable for researchers and students working on plant structure, development and systematics, as well as being an important resource for plant ecologists, evolutionary botanists and horticulturists.
Author: Alexey Stakhov
Publisher: World Scientific
ISBN: 9812775838
Category : Mathematics
Languages : en
Pages : 745
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Book Description
Assisted by Scott Olsen ( Central Florida Community College, USA ). This volume is a result of the author's four decades of research in the field of Fibonacci numbers and the Golden Section and their applications. It provides a broad introduction to the fascinating and beautiful subject of the OC Mathematics of Harmony, OCO a new interdisciplinary direction of modern science. This direction has its origins in OC The ElementsOCO of Euclid and has many unexpected applications in contemporary mathematics (a new approach to a history of mathematics, the generalized Fibonacci numbers and the generalized golden proportions, the OC goldenOCO algebraic equations, the generalized Binet formulas, Fibonacci and OC goldenOCO matrices), theoretical physics (new hyperbolic models of Nature) and computer science (algorithmic measurement theory, number systems with irrational radices, Fibonacci computers, ternary mirror-symmetrical arithmetic, a new theory of coding and cryptography based on the Fibonacci and OC goldenOCO matrices). The book is intended for a wide audience including mathematics teachers of high schools, students of colleges and universities and scientists in the field of mathematics, theoretical physics and computer science. The book may be used as an advanced textbook by graduate students and even ambitious undergraduates in mathematics and computer science. Sample Chapter(s). Introduction (503k). Chapter 1: The Golden Section (2,459k). Contents: Classical Golden Mean, Fibonacci Numbers, and Platonic Solids: The Golden Section; Fibonacci and Lucas Numbers; Regular Polyhedrons; Mathematics of Harmony: Generalizations of Fibonacci Numbers and the Golden Mean; Hyperbolic Fibonacci and Lucas Functions; Fibonacci and Golden Matrices; Application in Computer Science: Algorithmic Measurement Theory; Fibonacci Computers; Codes of the Golden Proportion; Ternary Mirror-Symmetrical Arithmetic; A New Coding Theory Based on a Matrix Approach. Readership: Researchers, teachers and students in mathematics (especially those interested in the Golden Section and Fibonacci numbers), theoretical physics and computer science."
Author: Geoff Williams
Publisher: CSIRO PUBLISHING
ISBN: 1486314287
Category : Nature
Languages : en
Pages : 289
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Book Description
The Flowering of Australia’s Rainforests provides a comprehensive introduction to the pollination ecology, evolution and conservation of Australian rainforest plants, with particular emphasis on subtropical rainforests and their associated pollinators. This significantly expanded second edition includes new information on the impact of climate change, fire, fragmentation and invasive species. Rainforests continue to be a focus of global conservation concern, not only from threats to biodiversity in general, but to pollinators specifically. Within Australia, this has been emphasised by recent cataclysmic fire impacts, ongoing extreme drought events, and the wider consideration of climate change. This second edition strengthens coverage of these issues beyond that of the first edition. The Flowering of Australia’s Rainforests makes timely contributions to our understanding of the nature and function of the world’s pollinator fauna, plant-reproduction dependencies, and the evolutionary pathway that has brought them to their current state and function. Illustrated with 150 colour plates of major species and rainforest formations, this reference work will be of value to ecologists and field naturalists, botanists, conservation biologists, ecosystem managers and community groups involved in habitat restoration.
