The Fibonacci Sequence and Nature’s Number - 1.618033988 . . .

6/24/2007
1.618 has been called nature's number, the golden
number
and the golden ratio

Pythagoras wrote that this mysterious number,
"manifests in the whole of creation"

it can be seen in art, music, architecture, and in
the structure of a surprising variety of living things,
including humans

in its ubiquitousness, 1.618 is second only to pi

it can be obtained by taking ANY two numbers,
adding them to make a third, (say 2 + 4 = 6),

then adding the second and third to make a fourth,
(4 + 6 = 10)

then adding the third and fourth to make a fifth,
(6 + 10 = 16)

repeating this process 20 times and dividing the 20th
sum by the 19th

the answer will ALWAYS be very close to 1.618

also, take any two consecutive numbers in the
sequence, divide the larger by the smaller, and
the result should approximate 1.618

the greater the value of the numbers, the closer
the result will be to 1.618

4/2 = 2.00
6/4 = 1.50
10/6 = 1.66
16/10 = 1.60
26/16 = 1.62
and so on

Italian mathematician Leonardo Fibonacci discovered
this phenomenon in the 12th century

he began the sequence with zero, and obtained

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233,
377, 610, 987, 1597, 2584, 4181, 6765, 10946 . . .

each of these numbers is known as a Fibonacci
Number
; and the sequence as a whole - the
Fibonacci Sequence

check out the video below for more on the
the Fibonacci sequence and nature's number



the soundtrack of the above video is an edit of a
BBC 5 Numbers podcast

Related Posts:

- The World’s Most Mysterious Number
- The Most Important Number In the Universe
- A Hierarchy of Infinities
- The number that separates the men from the boys
- Are Numbers Discovered Or Invented?
Posted in Mathematics

Comments

if you believe the universe, life and everything just randomly came into being you will be surprised at the continued order in the universe. For example, the concept of "randomness". It appears there really is no such thing as randomness - (read about chaos theory). And something else - there appears to be no way to "know" anything really for sure (check out quantum theory). And yet, we are expected to believe (in the Darwinian mold) that complexity and information arose from pure random chance (which, by the way does NOT exist!).
Posted by DeepThinker on 8/9/2008 5:55:44 PM
Darwinism has nothing to do with chance, it's about survival of the fittest, that is the most suitable candidate for survival passes on it's genetic information to the next generation. If you think about it that is almost the opposite of chance.
Posted by Dystopian on 8/27/2008 9:16:48 AM
I have faith in randomness and random chance, as opposed to believing in a god I have never seen, nor heard, nor touched, nor nothing.Ha ha, faith, you got it? "faith". Faith is not only reserved for the religious..
Posted by DeeperThinker on 8/27/2008 11:22:56 PM

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