Fibonacci Numbers and The Golden Number

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Offline Masuma Parvin

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Fibonacci Numbers and The Golden Number
« 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.
« Last Edit: October 30, 2011, 01:40:05 PM by Masuma Parvin »

Offline sonia_tex

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Re: Fibonacci Numbers and The Golden Number
« Reply #1 on: October 30, 2011, 07:55:25 AM »
Nice post.. :)
Sonia Sultana
Senior Lecturer
Department of Textile Engineering
Daffodil International University

[Education is the most powerful weapon-Nelson Mandela]

Offline tasnuva

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Re: Fibonacci Numbers and The Golden Number
« Reply #2 on: October 30, 2011, 11:55:14 AM »
Wow it's great..Thanks for the post :)
Tasnuva Ali
Senior Lecturer
Department of ETE
Daffodil International university

Offline Masuma Parvin

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Re: Golden Ratio in Nature
« Reply #3 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).

Offline nashid

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Re: Fibonacci Numbers and The Golden Number
« Reply #4 on: October 30, 2011, 05:18:14 PM »
Interesting topic.....Thank you for such a nice post.
Nashid Sharif
Lecturer
Department of Textile Engineering
FSIT
Daffodil International University.

Offline Md. Fouad Hossain Sarker

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Re: Fibonacci Numbers and The Golden Number
« Reply #5 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.
Md. Fouad Hossain Sarker
Assistant Professor and Head
Department of Development Studies
Faculty of Humanities and Social Sciences
Daffodil International University
Dhaka-1207

Offline samiha sultana

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Re: Fibonacci Numbers and The Golden Number
« Reply #6 on: October 30, 2011, 10:54:35 PM »
 Interesting  post…  :)

Offline tanbir

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Re: Fibonacci Numbers and The Golden Number
« Reply #7 on: October 31, 2011, 04:55:52 PM »
I like to called this ratio as the ratio of GOD............
thaks madam..........
Tanbir
Lecturer, Department of Pharmacy,
DIU.