The Fibonacci Sequence and the Golden Ratio
The Fibonacci Sequence starts like this: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, and so on forever. Each number is the sum of the two numbers that precede it. It’s a simple pattern, but it appears to be a kind of built-in numbering system of the universe as well. Not only does the Milky Way galaxy fall into the Fibonacci spiral, but everything in existence carries in one way or the other this number pattern.
The concept of the Golden Proportion is easy to understand, but its very simplicity has been perplexing, and this enchanting proportion has never really been understood in its complexity.
In creation there exists a “Divine Proportion” that is exhibited in a multitude of shapes, numbers, and patterns whose relationship can only be the result of an omnipotent, expert builder. These shapes, numbers, spirals are ubiquitous in their presence throughout all of creation. Their symmetry, beauty, and mathematical preciseness are evident in every aspect of life. The only rational conclusion is that the Author of the universe is a personal, intelligent Being, who created these things as a visible fingerprint of His invisible, yet personal existence.
There are many samples from microcosm to macrocosm, which precisely show the divine proportions in many different ways. The famous Fibonacci sequence has captivated mathematicians, artists, designers, and scientists for centuries. Also known as the Golden Ratio, its ubiquity and astounding functionality in nature suggests its importance as a fundamental characteristic of the Universe.
We discover the golden ratio for example in leaf arrangements, in the arrangement of many flower petals, etc. For example, a Lily has 3 petals, the Yellow Violet has 5, Delphinium has 8, Mayweed has 13, Aster 21, Pyrethrum 34, Helenium 55, and Michaelmas Daisy 89. Another interesting occurrence is in the spiral arrangement of leaves around a plant’s stem. The perfectly mathematical occurrence, in this pattern assures that each leaf will receive its maximum exposure to sunlight and air without shading or crowding other leaves. When we realize that the information to produce these spirals and numbers in living things is stored in the DNA, should we then be surprised to find that 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.