Double Helix of Phyllotaxis

Double Helix of Phyllotaxis
Author :
Publisher : BrownWalker Press
Total Pages : 186
Release :
ISBN-10 : 9781627347488
ISBN-13 : 1627347488
Rating : 4/5 (88 Downloads)

Book Synopsis Double Helix of Phyllotaxis by : Boris Rozin

Download or read book Double Helix of Phyllotaxis written by Boris Rozin and published by BrownWalker Press. This book was released on 2020-08-01 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Double Helix of Phyllotaxis Related Books

Double Helix of Phyllotaxis
Language: en
Pages: 186
Authors: Boris Rozin
Categories: Science
Type: BOOK - Published: 2020-08-01 - Publisher: BrownWalker Press

DOWNLOAD EBOOK

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
The Curves of Life
Language: en
Pages: 520
Authors: Theodore Andrea Cook
Categories: Aesthetics
Type: BOOK - Published: 1914 - Publisher:

DOWNLOAD EBOOK

The Algorithmic Beauty of Plants
Language: en
Pages: 235
Authors: Przemyslaw Prusinkiewicz
Categories: Computers
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

Now available in an affordable softcover edition, this classic in Springer's acclaimed Virtual Laboratory series is the first comprehensive account of the compu
Comparative Plant Succession Among Terrestrial Biomes of the World
Language: en
Pages: 413
Authors: Karel Prach
Categories: Nature
Type: BOOK - Published: 2020-05-14 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

Provides a comparative approach to plant succession among all terrestrial biomes and disturbances, helping to reveal generalizable patterns.
Tropical Trees and Forests
Language: en
Pages: 457
Authors: F. Halle
Categories: Science
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK