Originally posted by MacKiller
The most beautiful number!
If you start with the numbers 0 and 1, and make a list in which each new number is the sum of the previous two, you get a list like this:
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, ... to infinity-->
This is called a Fibonacci series.
If you then take the ratio of any two sequential numbers in this series, you'll find that it falls into an increasingly narrow range:
1/0 = Whoa! That one doesn't count.
1/1 = 1
2/1 = 2
3/2 = 1.5
5/3 = 1.6666...
8/5 = 1.6
13/8 = 1.625
21/13 = 1.61538...
34/21 = 1.61904...
and so on, with each addition coming ever closer to multiplying by some as-yet-undetermined number.
The number that this ratio is oscillating around is phi (1.6180339887499...). It's interesting to note that the ratio 21/13 differs from phi by less
than .003, and 34/21 by only about .001 (less than 1/10 of one percent!), thus providing our less technically-advanced ancestors an easy way to derive
phi on a large scale in the real world with a high degree of precision.
The number also appears in nature all the time!
The relationship of males and females in a honeybee colony. If you divide the number of females by males in any colony, you always get the same
number. 1.618!
Sunflower seeds grow in spirals. the ratio of each rotation's diameter is... 1.618!
Next time you are in the shower, take a tape measure.
Measure the distance of the top of your head to the floor and divide the distance from your belly button to the floor.
Shoulder to you fingertips, then divide it by you elbow to your fingertips.
Hip to floor divided by knee to floor.
Finger joints.
Toes.
Spinal divisions.
EVERYTHING IS EQUAL TO PHI!!!
Truly an amazing number.
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Good boy,you are like me. I invented the wheel??!!
Buy that book and you will understand more,more...
" The story of Mathematics"--Richard Mankiewicz--2000
Castel & co . London----$ 14.70
bonne lecture regards chapo
PS NO SARCASME
