Fibonacci Numbers in Nature

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Last updated 11:40 PM on 6/29/26
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10 Terms

1
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0, 1, 1, 2, 3, 5, 8, 13, 21, 34

The first 10 Fibonacci numbers starting with 0.

2
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liber abaci

The Fibonacci numbers were introduced to Europe through this book written by Leonardo of Pisa in 1202.

3
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divide the higher number by the lower number before it

How the golden ratio is acquired from the Fibonacci numbers.

<p>How the golden ratio is acquired from the Fibonacci numbers.</p>
4
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phyllotaxis

The leaf arrangement on its axis or stem.

<p>The leaf arrangement on its axis or stem.</p>
5
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137.5

The angle between successive leaves is close to Golden Angle at what degrees?

<p>The angle between successive leaves is close to Golden Angle at what degrees?</p>
6
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fibonacci number

In repeating spirals and their leaf angle fractions, the numerator and denominator usually consist of this number and its second successor.

<p>In repeating spirals and their leaf angle fractions, the numerator and denominator usually consist of this number and its second successor.</p>
7
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3

Irises, lilies, and trilliums have groups of this number in flower parts or petal numbers, which is a Fibonacci number.

<p>Irises, lilies, and trilliums have groups of this number in flower parts or petal numbers, which is a Fibonacci number.</p>
8
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growth

In the Sneezewort plant, new _______________ shoot numbers at any given stage will be a Fibonacci number.

9
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spiral

The type of turn about these plants (pineapples, pinecones, and sunflowers), both clockwise and counterclockwise, are most often Fibonacci numbers.

<p>The type of turn about these plants (pineapples, pinecones, and sunflowers), both clockwise and counterclockwise, are most often Fibonacci numbers.</p>
10
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5

The Fibonacci number at the center of an apple's horizontal cross-section.

<p>The Fibonacci number at the center of an apple's horizontal cross-section.</p>