"For thus says the LORD, The creator of the heavens, who is God,
The designer and maker of the earth who established it,
Not creating it to be a waste, but designing it to be lived in:
I am the LORD, and there is no other."

(Is 45:18)

The galaxy, the morning glory bud, the pine cone, the nautilus and many other examples in nature have one thing in common, the spiral design. This is not by accident but by design because we shall see that this follows a precise mathematical pattern.

In c. 1200 AD Leonardo Pisa (Fibonacci) proposed this problem: "A certain man had one pair of rabbits together in a certain enclosed place, and one wishes to know how many are created from the pair in one year when it is the nature of them in a single month to bear another pair, and in the second month those born to bear also." He came up with this with this number sequence:

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

As you can see each succeeding number is the sum of the two preceding numbers, (e.g. 3+5=8). Later mathematicians realized that this number pattern was applicable throughout all of nature. If we instead divide (3:5) we get 1.618 ... ad infinitum. This became known as the Golden Ratio which also describes the ever-expanding nature of what is termed logarithmic spiral. This became measurable in the shell of the Nautilus, a sea creature. "When we realize that information to produce these spirals and numbers in living things is stored in the DNA, should we then be surprised to find in the DNA molecule is 21 angstroms in width and the length of one full turn in its spiral is 34 angstroms, both Fibonacci numbers? The DNA molecule is literally one long stack of golden rectangles." (Fred Wilson)

It would also appear that this sequence of numbers is also encoded in matter itself from the atom to the galaxy. For example, when we compare the time period of each planet revolution around the sun we are faced with Fibonacci numbers. Beginning with Neptune and moving inward toward the sun, the ratios are 1/2, 1/3, 2/5, 3/8, 8/21, 13/34.

All of the above shows a Divine proportion in all things created which is not perfect in all creatures due to the fall of angels and men.


4. Sound Patterns