# Math in Nature

by
**maltruda**

Last updated 4 years ago

** Discipline: **

Math ** Subject: **

Geometry
** Grade:**

6,7,8,9,10

Leaf Arrangements

We find the golden ratio when we divide a line into two parts so that:the longer part divided by the smaller partis also equal tothe whole length divided by the longer part

There is a special relationship between the Golden Ratio and the Fibonacci sequence: And here is a surprise: when we take any two successive (one afterthe other) Fibonacci Numbers, their ratio is very close to the Golden Ratio. In fact, the bigger the pair of Fibonacci numners, the closer the approximation

The Golden Ratio is no accident. It is related to the most efficient way for plants to grow. An example may be seen in the growth of sunflower seeds. Experiment with various seed-packing methods at the link below:and see if you can find the Golden Ratio!

Where is it?

Plants do not know about this sequence - they just grow in the most efficient ways. Many plants show the Fibonacci numbers in the arrangement of the leaves around the stem. Some pine cones and fir cones also show the numbers, as do daisies and sunflowers. Sunflowers can contain the number 89, or even 144. Many other plants, such as succulents, also show the numbers. Some coniferous trees show these numbers in the bumps on their trunks. And palm trees show the numbers in the rings on their trunks.

What and Where is the Fibonacci Sequence?The Fibonacci numbers are Nature's numbering system. They appear everywhere in Nature, from the leaf arrangement in plants, to the pattern of the forets of a flower, the bracts of a pinecone, or the scales of a pineapple. The Fibonacci numbers are therefore applicable to the growth of every living thing, including a single cell, a grain of wheat, a hive of bees, and even all of mankind.

Experiment!

Math is found everywhere in nature!

Many plants show the Fibonacci numbers in the arrangements of the leaves around their stems. If we look down on a plant, the leaves are often arranged so that leaves above do not hide leaves below. This means that each gets a good share of the sunlight and catches the most rain to channel down to the roots as it runs down the leaf to the stem.

Math in Nature!-Mike Altruda

The Golden Ratio and Fibonacci

The Golden Ratio

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