Paperback Edition
Paperback
186 pages
$39.95
Choose vendor to order paperback edition
BrownWalker Press Amazon.com Barnes & Noble Harvard Book Store 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 Harvard Book Store 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
OCT
14
ASHG25
American Society of Human Genetics (ASHG) Annual Meeting A premier conference for human genetics research, featuring the latest discoveries and technologies. The ASHG Annual Meeting is the largest human genetics and genomics meeting and exposition in the world. Held in the Fa...
American Society of Human Genetics (ASHG) Annual Meeting A premier conference for human genetics research, featuring the latest discoveries and technologies. The ASHG Annual Meeting is the largest huma...
American Society of Human Genetics (ASHG) Annual Meeting A premier conference for human genetics research, featuring the latest di...
American Society of Human Genetics (ASHG) Annual Meeting A premier conference for human genetics research...
14 - 18 Oct 2025
Boston, United States
NOV
15
SFN25
Neuroscience (SfN) Annual Meeting Description: Organized by the Society for Neuroscience, this is one of the largest and most influential neuroscience conferences. Neuroscience 2025 Final Opportunity to Shape the Sessions and Events at #SfN25 Submit...
Neuroscience (SfN) Annual Meeting Description: Organized by the Society for Neuroscience, this is one of the largest and most influential neuroscience conferences. Neuroscience 2...
Neuroscience (SfN) Annual Meeting Description: Organized by the Society for Neuroscience, this is one of th...
Neuroscience (SfN) Annual Meeting Description: Organized by the Society for Neuros...
15 - 19 Nov 2025
San Diego, United States
MAR
19
NPSE2024
NPSE 2026 | New Perspectives in Science Education 15th Edition - International Conference The 15th Edition of the International Conference New Perspectives in Science Education will take place: on 18 March 2026 | Online Event on 19-20 March 2026 | in Florence (Italy) The event brings together educators, r...
NPSE 2026 | New Perspectives in Science Education 15th Edition - International Conference The 15th Edition of the International Conference New Perspectives in Science Education will take place: on 18 March 2026 | Online Event on 19-20 ...
NPSE 2026 | New Perspectives in Science Education 15th Edition - International Conference The 15th Edition of the International Conference New Perspectives in Scie...
19 - 20 Mar 2026
Florence, Italy
MAY
19
AGSAGRI2026
Annual Global Summit on Agriculture and Horticulture We are delighted to announce the Annual Global Summit on Agriculture and Horticulture (AGSAGRI2026), scheduled to take place from May 19–21, 2026, in the vibrant city of Paris, France. This prestigious gathering aims to br...
Annual Global Summit on Agriculture and Horticulture We are delighted to announce the Annual Global Summit on Agriculture and Horticulture (AGSAGRI2026), scheduled to take place from May 19–21, 2026, ...
Annual Global Summit on Agriculture and Horticulture We are delighted to announce the Annual Global Summit on Agriculture and ...
Annual Global Summit on Agriculture and Horticulture We are delighted to announce the Annual Global S...
19 - 21 May 2026
Paris, France
OCT
22
2nd International Conference on Optics and Laser technology Scitechseries cordially invites you for the “2nd International Conference on Optics and Laser technology” (Optics 2025) is scheduled to take place in Osaka, Japan from October 22-23, 2025. This conference is following t...
2nd International Conference on Optics and Laser technology Scitechseries cordially invites you for the “2nd International Conference on Optics and Laser technology” (Optics 2025) is scheduled to take place ...
2nd International Conference on Optics and Laser technology Scitechseries cordially invites you for the “2nd International Conference...
2nd International Conference on Optics and Laser technology Scitechseries cordially invites you for the “2nd...
22 - 23 Oct 2025
Osaka, Japan
OCT
23
9th Edition of World Congress on Infectious Disease Be a part of the 9th Edition of the World Congress on Infectious Diseases (WCID 2025), happening from October 23-25, 2025, in the vibrant city of Orlando, Florida, USA. Under the theme "Global Strategies Against Infectious...
9th Edition of World Congress on Infectious Disease Be a part of the 9th Edition of the World Congress on Infectious Diseases (WCID 2025), happening from October 23-25, 2025, in the vibrant city of O...
9th Edition of World Congress on Infectious Disease Be a part of the 9th Edition of the World Congress on Infectious Diseases...
9th Edition of World Congress on Infectious Disease Be a part of the 9th Edition of the World Congre...
23 - 25 Oct 2025
FloridA, United States
OCT
23
9th Edition of World Congress on Infectious Disease 2025 Be a part of the 9th Edition of the World Congress on Infectious Diseases (WCID 2025), happening from October 23-25, 2025, in the vibrant city of Orlando, Florida, USA. Under the theme "Global Strategies Against Infectious...
9th Edition of World Congress on Infectious Disease 2025 Be a part of the 9th Edition of the World Congress on Infectious Diseases (WCID 2025), happening from October 23-25, 2025, in the vibrant city of O...
9th Edition of World Congress on Infectious Disease 2025 Be a part of the 9th Edition of the World Congress on Infectious Diseases...
9th Edition of World Congress on Infectious Disease 2025 Be a part of the 9th Edition of the World Congre...
23 - 25 Oct 2025
FloridA, United States
DEC
5
The 9th Int'l Conference on Semiconductor Physics and Devices(ICSPD 2025) The 9th Int'l Conference on Semiconductor Physics and Devices(ICSPD 2025) December 5-7, 2025 Sanya, China Website:https://www.academicx.org/ICSPD/2025/ Date:December 5-7, 2025 Venue:Sanya, China Email:contact12@ac...
The 9th Int'l Conference on Semiconductor Physics and Devices(ICSPD 2025) The 9th Int'l Conference on Semiconductor Physics and Devices(ICSPD 2025) December 5-7, 2025 Sanya, China Website:https://www.academicx.org/I...
The 9th Int'l Conference on Semiconductor Physics and Devices(ICSPD 2025) The 9th Int'l Conference on Semiconductor Physics and Devices(ICSPD 2025)...
The 9th Int'l Conference on Semiconductor Physics and Devices(ICSPD 2025) The 9th Int'l Conference on Semiconductor Physic...
05 - 07 Dec 2025
Sanya, China, China
DEC
5
CB 2025
The 11th Int'l Conference on Botany(CB 2025) The 11th International Conference on Botany (CB 2025) is scheduled to take place from December 5-7, 2025, in the picturesque city of Sanya, China. This esteemed conference brings together leading botanists, researchers, an...
The 11th Int'l Conference on Botany(CB 2025) The 11th International Conference on Botany (CB 2025) is scheduled to take place from December 5-7, 2025, in the picturesque city of Sanya, China. ...
The 11th Int'l Conference on Botany(CB 2025) The 11th International Conference on Botany (CB 2025) is scheduled to tak...
The 11th Int'l Conference on Botany(CB 2025) The 11th International Conference on Botany (CB ...
05 - 07 Dec 2025
Sanya, China, China
JAN
16
ICAAA 2026
2026 13th International Conference on Asia Agriculture and Animal (ICAAA 2026) Paper Publishing: Submissions will be reviewed by international program committees and international reviewers, and accepted papers will be included into ICAAA 2026 conference proceedings in BIO Web of Conferences (Open A...
2026 13th International Conference on Asia Agriculture and Animal (ICAAA 2026) Paper Publishing: Submissions will be reviewed by international program committees and international reviewers, and accepted papers will be includ...
2026 13th International Conference on Asia Agriculture and Animal (ICAAA 2026) Paper Publishing: Submissions will be reviewed by international program ...
2026 13th International Conference on Asia Agriculture and Animal (ICAAA 2026) Paper Publishing: Submissions will be reviewed ...
16 - 18 Jan 2026
Sapporo, Japan