Mathematical Phyllotaxis

Forcenturies, scientists and mathematicians have sought to explain why Fibonacci numbers appear in plant spirals.In recent decades, a modern consensusframeworkhas emerged,offeringa compelling mathematical and biological modelthat goes beyond Fibonacci structure to explain a variety of plant forms. This book provides a rigorous yet accessible introduction tothat framework, spanningthemathematics of the Euclidean algorithm,bifurcation theory, and modern molecular biology.Delving into the mechanics of how plants determine organ placement, the book introduces key mathematical tools to classify and analyze these patterns. It examines classic and contemporary models, from Hofmeister's hypothesis to transporter protein-basedauxinmechanisms, evaluating theircurrenteffectiveness in explainingthe evolution and development of plantdesign. Written for mathematicians, biologists, and interdisciplinary researchers, Mathematics of Phyllotaxisequips readers with the knowledge to critique and contribute to this evolving field. Whether you're a student, a researcher, or simply fascinated by nature's mathematical beauty, thisgorgeously illustratedbook offers fresh insights into one of biology's most intriguing mysteries.