Daffodil International University

Science & Information Technology => Science Discussion Forum => Topic started by: Masuma Parvin on October 29, 2011, 06:17:22 PM

Title: Fibonacci Numbers and The Golden Number
Post by: Masuma Parvin on October 29, 2011, 06:17:22 PM

If we take the ratio of two successive numbers in Fibonacci's 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...

  The ratio seems to be settling down to a particular value, which we call the golden ratio or the golden number. It has a value of approximately 1•618034
The golden ratio 1•618034 is also called the golden section or the golden mean or just the golden number. It is often represented by a Greek letter Phi . The closely related value which we write as phi with a small "p" is just the decimal part of Phi, namely 0•618034.

Title: Re: Fibonacci Numbers and The Golden Number
Post by: sonia_tex on October 30, 2011, 07:55:25 AM

Nice post.. :)

Title: Re: Fibonacci Numbers and The Golden Number
Post by: tasnuva on October 30, 2011, 11:55:14 AM

Wow it's great..Thanks for the post :)

Title: Re: Golden Ratio in Nature
Post by: Masuma Parvin on October 30, 2011, 01:54:21 PM

The most common example of the golden ratio is the nautilus shell (see image). As it spirals in on itself, the spirals get smaller and smaller in the same proportion to each other as they do to the whole. You can also see the ratio in things like sunflower petals, and the curvature of fern fronds (see image).

Title: Re: Fibonacci Numbers and The Golden Number
Post by: nashid on October 30, 2011, 05:18:14 PM

Interesting topic.....Thank you for such a nice post.

Title: Re: Fibonacci Numbers and The Golden Number
Post by: Md. Fouad Hossain Sarker on October 30, 2011, 06:25:45 PM

This is a mind blowing post which leads us to touch and observe the beautification of the nature.

Title: Re: Fibonacci Numbers and The Golden Number
Post by: samiha sultana on October 30, 2011, 10:54:35 PM

 Interesting  post…  :)

Title: Re: Fibonacci Numbers and The Golden Number
Post by: tanbir on October 31, 2011, 04:55:52 PM

I like to called this ratio as the ratio of GOD............
thaks madam..........