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Fibonacci Series of numbers
Fibonacci Series of numbers
The series of numbers, known as the Fibonacci numbers are found throught
the world, in both things man made, as well as in nature. The amount of information available regarding this
series of numbers, is astounding, and even today, being studied by Mathematicians, in search of more
seemingly coincidental conclusions.
The series is as follows: Note that any two sequential numbers, starting from
the left added together, equal the third number in the sequence.
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987
...
Using The Fibonacci Series
If we take the ratio of two successive numbers in Fibonacci series, (1, 1, 2,
3, 5, 8, 13, ..) and we divide each by the number before it, we will find the following series of
numbers:
1/1 = 1, 2/1 = 2, 3/2 = 1·5, 5/3 = 1·666..., 8/5 = 1·6, 13/8 = 1·625, 21/13 =
1·61538... Note: in the fourth equation, the golden rectangle has been roughly obtained. In the next few
equations it stabilizes to become 1.618034, which is the golden rectangle. This is also referred to as the
golden mean, golden number, golden section, or golden ratio.
If you take a golden rectangle, of any size, and cut it to form a square, the
remaining piece will still be a golden rectangle!
Using this series of numbers, has for centuries been the proper method of
achieving perfect proportions. The are considered divine numbers.
When building a cabinet or piece of furniture, we routinely refer to these
numbers, in an effort to create an esthetically pleasing piece. The next time you build a rectangular piece,
take the smaller dimension, and multiply it by 1.618. It will then be a Golden rectangle, and is sure to be
pleasing to the eye.
If you double any number in the series, for example, 34 x 2 = 68. This number
of 68, will work well with most of the original series of numbers, in forming pleasing rectangles. ie... 13"
x 68", even though it is not a golden rectangle, will make an esthetically pleasing rectangle.
A short Flash Video on the Fibonacci series and golden section.
There is much written on this subject, and a simple Google search will lead you
to hundreds of pages and equations, which frankly, are beyond my comprehension.
The references to nature, which fall within these numbers will leave all but
the most mathematically gifted, completely confused, unless of course I'm so far behind it's sad!
Written by: Lee A. Jesberger © 2006 
2010
Inventor of: EzeeFeed Systems ®
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