THE MEASUREMENT OF BEAUTY IN NATURE:GOLDEN RATIO
It is not the product of mathematical imagination,but the product of natural principle related to laws of balance.
what are similarities between pyramids,Mona Lisa’s portrait,the space between your fingers,a snail,a pine cone and a sunflower??
the answer is hidden in a group of number.these numbers are found by an italian mathematician,Fibonacci.and the characteristic of these numbers is that:a number is the total of two numbers which come before that number.
0,1,1,2,3,5,8,13,21,34,55,89,144,233,377,610…
when you divide a number with the number which comes before that number,you’ll obtain similar answers..and after the 13rd number-144- you’ll always get the same number.and that is:GOLDEN RATIO
233/144=1,618
337/233=1,618
610/337=1,618
you can see golden ratio in your surroundings:
there is golden ratio in human body,in space,in DNA,in snails,in phisics..etc.
in your face there is golden ratio,too.but don’t try to measure somebody’s face with your ruler because it is a scientific task:))for example :
the lenght of face/the breadth of face=1,618
between the pupil of the eyes/between the eyebrows=1,618
the lenght of mouth/the breadth of nose=1,618..
and also in snow crystals..you can see it in different extensions of crystal..
what are similarities between pyramids,Mona Lisa’s portrait,the space between your fingers,a snail,a pine cone and a sunflower??
the answer is hidden in a group of number.these numbers are found by an italian mathematician,Fibonacci.and the characteristic of these numbers is that:a number is the total of two numbers which come before that number.
0,1,1,2,3,5,8,13,21,34,55,89,144,233,377,610…
when you divide a number with the number which comes before that number,you’ll obtain similar answers..and after the 13rd number-144- you’ll always get the same number.and that is:GOLDEN RATIO
233/144=1,618
337/233=1,618
610/337=1,618
you can see golden ratio in your surroundings:
there is golden ratio in human body,in space,in DNA,in snails,in phisics..etc.
in your face there is golden ratio,too.but don’t try to measure somebody’s face with your ruler because it is a scientific task:))for example :
the lenght of face/the breadth of face=1,618
between the pupil of the eyes/between the eyebrows=1,618
the lenght of mouth/the breadth of nose=1,618..
and also in snow crystals..you can see it in different extensions of crystal..
1 yorum:
I do know Fibonacci and I know his numbers :D But I didn't know that GOLDEN RATIO. And when I see this amazing ratio in your writing, I was really excited! Just think.. What kind of strange but splendid thing :D And the point I wonder is why it starts at 13rd order. I know Fibonacci didn't arrange it :D and he couldn't do even he wanted, because the ratio goes on maybe forever :D After hearing you this GOLD :), I googled it and found much more amazing things...
for example, the exact Fibonacci number isn't one, there are two ;)
and they are ±0·61803 39887... and ±1·61803 39887... :D (really horrifying..:S )
And so, I wanted to share some links:
this is main page
http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fibnat.html
examples from nature in detail
http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fibnat.html
All Fibonacci numbers ( a bit frightening :D )
http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fibtable.html
And lastly some puzzles
http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fibpuzzles.html
But, as I said, it's too weird... I wonder what was this Fibonacci's problem :D
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