13 August 2009
Today is an exciting day for me. I will be providing evidence that God's Creation was neither an accident nor evolution. The proof is the Golden Ratio.
It all started in the 13th century, and the photo of Leonardo da Vinci's 16th century painting, Mona Lisa is just one of the many examples built on the Golden Ratio.
At the beginning of the 13th century, a mathematician by the name of Leonardo Pisano studied a problem that had a revolutionary answer. (This is so interesting!) The problem was given to him by a member of the royal family, and it went something like this:
"A certain man put a pair of rabbits in a place surrounded on all sides by a wall. How many pairs of rabbits can be produced from that pair in a year if it is supposed that every month each pair begets a new pair, which from the second month on becomes productive?"
On paper, Leonardo listed the number of rabbits at the end of each month, and came up with the following numerical sequence: 0, 1, 1, 2, 3, 5, 8, 13, 21, and so on. And what is really neat about those numbers is that every number in the sequence was the sum of the two that came before it. One plus one=two, one plus two= three, three plus two =five, and so on.
Well, you're asking, so what? What does that have to do with God? More than you might think. As it turns out, Leonardo stumbled across a very important mathematical principle, known as the Fibonacci sequence, or Fibonacci numbers. And even though it was first used to count rabbits, it just might be one of the out of prints used to create the universe.
Students of this special sequence of numbers have noticed that each number bears a special relationship to the numbers surrounding it. The ratio of any Fibonacci number to the one before it is roughly 1.618034, and the ratio of any Fibonacci number to the one after it is roughly 0.618034. Again, so what? Well, as it turns out, that's a very special ratio.
It is so special, in fact, that it's called the "Golden Ratio," and the ancient Greeks based a lot of their art and architecture on it. The length of the Parthenon, for example, is 1.618034 times as long as the width, and the width is 0.618034 times as long as the length. And they designed a lot of their pottery with the same ratio. Now why did they do that?
They did it because they believed that this special ratio was much more pleasing to the human eye than any other ratio. And surprisingly, the very things we still find artistically pleasing today still exhibit that very same ratio.
The face of the Mona Lisa, for example, is built on the golden ratio. It is 1.618 times as long as it is wide. And it's been noticed by some students of music that the stuff we find really beautiful has the same golden ratio, where the first movement is 1.618 times as long as the second one, for example.
So why is it that we find that number so pleasing to the eye and to the ear? Could it be because that ratio most closely resembles the work of the Master Artist? Do we find it beautiful because it mimics creation?
Just consider how often the golden ratio shows up in nature, and I think you'll see what I mean. It turns out that your forearm is approximately 1.618 times as long as your hand.
And each segment in your finger is roughly 1.618 times as long as the next one. And the faces of people we consider to be beautiful have this number show up all over the place. Their mouths are 1.618 times as wide as their noses, and the distance between their pupils is about 1.618 times as wide as their mouths. This happens so frequently that some plastic surgeons have begun using this number to improve people's appearances.
Could it be that the golden ratio is one of the out of prints God used at creation?
You know, if you create a spiral based on Fibonacci numbers, where every quarter turn is 1.618 times as far from the center as the previous one, you get what is known as a golden spiral.
And oddly enough, most of the spirals found in nature are golden spirals. The shells of the nautilus and the snail, for example, are shaped in a golden spiral. So are hurricanes, ram's horns, the tails of seahorses, the cochlea of the human ear, whirlpools in the ocean, the seed patterns of sunflowers and pinecones, and the tail of a comet as it winds around the sun.
Not only that, but we have also discovered that the number of spirals in a sunflower or on a pine cone are always numbers from the Fibonacci sequence.
And furthermore, you'll notice that you can find spirals running in two directions on a pine cone, but the number of spirals running in each direction is not equal. Instead, you might have eight spirals running in one direction, and 13 running in the other. But the numbers are always neighbors from the Fibonacci sequence.
The list of golden ratios goes on and on and on. If you create ratios between the lengths of years of neighboring planets in our solar system, they are always made up of Fibonacci numbers.
And so are the arrangements of flower petals and the lengths of DNA molecules. In fact, a strand of DNA is a stack of rectangles all made in the same proportions as the Parthenon and other golden rectangles.
The neighboring leaves of some trees are arranged at 137.5 degrees from each other. That angle, amazingly, enables the highest number of leaves to have exposure to sunlight. But, even more amazing, when you draw that angle inside a circle, you get two pieces that are in the golden ratio to each other. The longest arc is, well, you guessed it, 1.618 times as long as the shortest one.
It just can't be a coincidence! From art and music to nature and science, the golden ratio keeps showing up over and over.
I could go on with literally thousands of more examples, but I think I've made the point. As you scratch below the surface of our world, it becomes obvious that somebody made it. We're not an accident. It's almost as if somebody deliberately used that number as a measuring stick for the cosmos.
More and more, science is proving Creation through the Golden Ratio. I find that to be mind-blowing! As I said in Part I and Part 2 of Nature - Look More at Nature, See More of God, to prove it to yourself, just go outside and take a look, because, as Paul says in Romans, chapter one, the more you look at creation, the more you are going to see God. The proof is in the Golden Ratio!
From the heart of Nature April, 2009
Ah, Sovereign Lord, you have made the heavens and the earth by your great power and outstretched arm. Nothing is too hard for you. Jeremiah 32:17