Paperback Edition
Paperback
186 pages
$39.95
Choose vendor to order paperback edition
BrownWalker Press Amazon.com Barnes & Noble Return policy
PDF eBook
Sample Preview
Size 1663kB
Free
Download a sample of the first 25 pages
Download Preview

Entire PDF eBook
22,999kB
$38
Get instant access to an entire eBook
Buy PDF Password Download Complete PDF
eBook editions

Double Helix of Phyllotaxis

Analysis of the Geometric Model of Plant Morphogenesis

small book icon  Paperback   small ebook icon   eBook PDF
Publisher:  BrownWalker Press
Pub date:  2020
Pages:  186
ISBN-10:  1627347488
ISBN-13:  9781627347488
Categories:  Biological Sciences  Nature & Biology  Mathematics

Abstract

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.



REVIEWS

See related article by author, Progress in Biophysics and Molecular Biology. (Volume 182, September 2023, Pages 8-14.)

See review in Plant Science Bulletin by Richard Lis, (Spring 2022, Vol. 68, No. 1, pg 88.)

See review in International Society of Plant Morphologists by Karl J. Niklas, 71(1&2) page 67, 2021.

See full review in Systematic Botanye by Khalil Al Said (46 (4), p. 1141, 2021.

A new theoretical model of phyllotactic patterns is presented in this book, based on the geometry of two oppositely twisted spirals or helices. Many of the models previously proposed to explain observations of phyllotactic patterns are thus explained mathematically. The book is abundantly illustrated with computer graphics and supplemented by hyperlinks to many more images and video animations avaiable online, showing the way phyllotactic patterns vary with growth and change in the geometry of the plant axis.
See full review in Botanical Taxonomy and Geobotany by Simon Joseph Mayo (16 August 2021)

See full review in the Journal of the Botanical Research Institute of Texas by Rick L. Hammer, 15(2) page 582, 2021

See review in the University of Chicago Press Journal The Quarterly Review of Biology by Johan Gielis, Volume 96, Number 2, June 2021

About the Author

Boris Rozin was born in Kiev, Ukraine. In 1981, he graduated from the math and physics High School #145 in Kiev and could not enter the top universities in Moscow and Kiev due to governmental anti-Semitism in the USSR. In 1989, he graduated with an Honors degree from the National Vinnitsa Technical University in Ukraine with a master’s degree in Computer Science and Engineering. Immediately after graduation, he started working as a full-time assistant professor at the Department of Applied Mathematics and Computer Science of the National Vinnitsa Technical University. He taught: Applied Theory of Digital Devices, mathematical Modeling, Discrete Mathematics and Graph Theory. Along with teaching, he studied in the PhD program, but due to anti-Semitism, the university administration put obstacles in the way of getting the degree.YouTube channel Double Helix of Phyllotaxis



Paperback Edition
Paperback
186 pages
$39.95
Choose vendor to order paperback edition
BrownWalker Press Amazon.com Barnes & Noble Return policy
PDF eBook
Sample Preview
Size 1663kB
Free
Download a sample of the first 25 pages
Download Preview

Entire PDF eBook
22,999kB
$38
Get instant access to an entire eBook
Buy PDF Password Download Complete PDF
eBook editions
Share this book



Relevant events
FEB
13
AAAS2025
AAAS | American Association for the Advancement of Science Annual Meeting Science-informed policies and decision-making are critical to ensuring a healthy, prosperous,...
13 - 15 Feb 2025
Boston, United States
MAR
20
NPSE2024
NPSE 2025 | New Perspectives in Science Education 14th Edition - International Conference The 14th Edition of the International Conference New Perspectives in Science Education will t...
20 - 21 Mar 2025
Florence, Italy
OCT
17
World Summit and Expo on Applied Science and Engineering(WSEASE-2024) World Summit and Expo on Applied Science and Engineering welcomes you to the latest advanceme...
17 - 19 Oct 2024
Bern, Switzerland
OCT
21
GLOBAL SUMMIT AND EXPO ON MAGETISM AND MAGNETIC MATERIALS GSEMMM2024 is the ideal opportunity for research scientists, academics, industrial engineers ...
21 - 23 Oct 2024
BERN, Switzerland
OCT
28
7th Edition of International Conference on Materials Science and Engineering Welcome to the 7th Edition of the International Conference on Materials Science and Engineeri...
28 - 30 Oct 2024
baltimore, United States
NOV
15
ISCAM 2024
The 7th Int'l Symposium on Computational and Applied Mathematics (ISCAM 2024) The 7th Int'l Symposium on Computational and Applied Mathematics (ISCAM 2024) will be held in...
15 - 17 Nov 2024
Sanya, China
NOV
15
ICGA 2024
The 8th Int’l Conference on Groups and Algebras (ICGA 2024) The 8th Int’l Conference on Groups and Algebras (ICGA 2024) will be held on November 15-17, 2...
15 - 17 Nov 2024
Sanya, China
NOV
15
SQCC 2024
The 5th Int'l Symposium on Quantum Computation and Communication (SQCC 2024) The 5th Int'l Symposium on Quantum Computation and Communication (SQCC 2024) will be held on ...
15 - 17 Nov 2024
Sanya, China
NOV
22
ICFOST 2024
2024 International Conference on Frontiers of Ocean Science and Technology (ICFOST 2024) Publication: After a careful reviewing process, all accepted papers after proper registratio...
22 - 24 Nov 2024
Changsha, China
JAN
17
ICAAA 2025
2025 12th International Conference on Asia Agriculture and Animal (ICAAA 2025) Paper Publishing: All accepted papers of ICAAA 2025 will be published into in BIO Web of Co...
17 - 19 Jan 2025
Osaka, Japan