The Hidden Structure and Fibonacci Mathematics
The Fibonacci numbers are Nature's numbering system. They appear everywhere in Nature, from the leaf arrangement in plants, to the pattern of the florets 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.
The Fibonacci sequence is 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, and so on. It begins with the number 1, and each new term from there is the sum of the previous two. The limit ratio between the terms is .618034..., an irrational number variously called the "golden ratio" and /or the "divine proportion," but in this century more succinctly "PHI" (f ) after the architect Phidias, who designed the Parthenon.
Harmonic analysis of the Parthenon
In other words, any two adjoining numbers equal the next higher number. For example, 5 + 8 = 13. Any number divided by the next higher number gives a ratio of .618. For example, 8 / 13 = .618. Any number divided by the next lower number gives a reciprocal of 1.618.
In the lower numbers the ratios are not exact, but close enough for practical purposes. To keep things simple, I normally refer to the numbers as .62 and 1.62.
Both the Fibonacci Sequence and the Golden Ratio appear in natural forms ranging from the geometry of the DNA molecule (and the human body) to the physiology of plants and animals. In the past few years, science has taken a quantum leap in knowledge concerning the universal appearance and fundamental importance of Fibonacci mathematics. Some of history's greatest minds, from Pythagoras to Isaac Newton, have held phi (f ) and the Fibonacci sequence in the highest esteem and reverence.
DNA fibonacci spiral structure
Nautilus shell's fibonacci spiral structure
Harmonic logarithmic structure of the shell with phi (f )
Fibonacci spiral structure of the human ear
"All human senses, including hearing, touch, taste, vision and pain receptors, have not only spiral physiology, but also response curves that are logarithmic (having a fibonacci structure). Cellular action membrane potentials, which are important for muscles and nervous system, have a voltage equal to the log of the ratio of the ion concentration outside the cell to that of inside the cell. The brain and nervous systems are made from the same type of cellular building units and look similar microscopically, so the response curve of the central nervous system is probably also logarithmic."
- Frederick A Hottes
Fibonacci relationships of the human head
Fibonacci relationships of the human body
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