Fibonacci Numbers and Nature

Fibonacci spirals in nature could be stress-related. ‘The Fibonacci sequence – in which each successive number is the sum of its two preceding numbers – regularly crops up in nature. It describes the number of petals around daisies, how the density of branches increases up a tree trunk, and how a pine cone’s scales are arranged. Now, having performed “stress engineering” to create Fibonacci-sequence spirals on microstructures grown in the lab, physicists in China think they may have found the reason why the sequence is so ubiquitous – with a little help from a seemingly unrelated physics problem posed over 100 years ago (Appl. Phys. Lett. 90 164102).’

The Fibonacci Series: Applications. ‘The Fibonacci Series is a sequence of numbers first created by Leonardo Fibonacci (fi-bo-na-chee) in 1202. It is a deceptively simple series, but its ramifications and applications are nearly limitless. It has fascinated and perplexed mathematicians for over 700 years, and nearly everyone who has worked with it has added a new piece to the Fibonacci puzzle, a new tidbit of information about the series and how it works.’

Fibonacci Numbers and Nature. ‘This page has been split into two parts. This, the first, looks at the Fibonacci numbers and why they appear in various “family trees” and patterns of spirals of leaves and seeds. The second page then examines why the golden section is used by nature in some detail, including animations of growing plants.’ (see also, from the same author, Fibonacci Numbers and the Golden Section)

Wolfram MathWorld: Fibonacci Number

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