#### Mathematical Precision of Nature Photos

**Saturday, August 13, 2005**

Orderly Succulent

Another in the "Mathematical Precision of Nature" series. :-)

**Monday, August 1, 2005**

Fibonacci Daisy

I really like flowers that are a little
irregular like this one and another
of my favorite daisies.
But there is an interesting contrast in this one.
Although the petals are quite wild, the center is
incredibly orderly. In fact it is orderly to a mathematical
precision.

There is a sequence of numbers that predicts very closely
these kinds of shapes in nature. It is called the
Fibonacci
Sequence. Anything from the number of scales on each successive row of a
pine cone and the leaves on a tree to the parts of the center of a daisy.
The sequence is very easy to create. Each number is the sum of the
previous two numbers in the sequence. So starting with 0, 1 and
adding them together you get 0, 1, 1. Next you add 1 and 1 and get
0, 1, 1, 2 and so on...

```
0,1,1,2
```

| | 1+2=3

| | | 2+3=5

| | | | 3+5=8

| | | | | 5+8=13

| | | | | | 8+13=21

| | | | | | | 13+21=34

| | | | | | | | 21+34=55

| | | | | | | | | 34+55=89

| | | | | | | | | | | |

0,1,1,2,3,5,8,13,21,34,55,89

So if you were to start in the very center of the daisy, called the
"Capitulum". You would probably find one individual flower (the Capitulum
is actually a cluster of small flowers. So, a single daisy is actually a group
of very small flowers botanically speaking). Moving out from that first flower
in concentric circles you would find each row contains 1 then 2
then 3 flowers and so on. It may not be exact, but more times than
not you will find it is very close.

_{1}| daisy

_{31}| Fibonacci

_{1}| Fibonacci Number

_{1}| Fibonacci Sequence

_{1}| flower

_{362}| Mathematical Precision of Nature

_{2}