Golden Ratio

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This presentation is about one of the most beautiful topic in the branch of mathematics which is Golden Ratio It was a team work me along with my team mate Rezwana Islam Ria (#6th semester , Assembly and microprocessor language)

WELCOME TO OUR
PRESENTATION
Presented to :
Dewan Ziaul Karim
Lecturer , Department of Computer
Science and Engineering

GOLDEN RATIO AND IT’S APPLICATION
GROUP MEMBERS:
1.Rezwana Islam Ria
2.Humayra Khan
2

NAME : HUMAYRA KHANUM
ID : 161-15-7325
3

What is Golden Ratio?
The Golden Ratio is a special number founded by dividing a line two parts so that
the longer part divided by the smaller part is also equal to the whole length divided
by the longer part . It is symbolized using phi φ .
4

Golden Ratio and Fibonacci in Musical
Instruments
Stradivarius violin design using fibonacci and phi
, the Golden Ratio. Phi are used in the design of
violins and even in the design of high quality
speaker wire.
7

Golden Ratio , Fibonacci And Music
Note in all of the above, (which is the basis of music), all of the
notes and intervals only use the Fibonacci Numbers 1, 2, 3, 5, 8, and
13.
When we take any two successive (one after the other)
Fibonacci Numbers, their ratio is very close to the Golden
Ratio:
a b b/a when b>a
2 3 1.5
3 5 1.666
5 8 1.6
8 13 1.625
8

Fibonacci sequence :
Golden ratio = 1.618
Golden ratio = 1.618
10

Golden ratio in art :
Mona Lisa, oil painting by Leonardo da Vinci that is probably the world's most
famous painting.
12

Humayra Khanum is a third year B.Sc student in Computer Science and Engineering at Daffodil International University with ID 161-15-7325. She has worked as a campus ambassador for Samsung and Reve Antivirus and volunteers with the IEEE DIU student branch. Her hobbies include making subtitles, watching movies, listening to music, and traveling. Her career goals are to study abroad and travel to Finland, Spain, and China.

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Golden Ratio

1. WELCOME TO OUR PRESENTATION Presented to : Dewan Ziaul Karim Lecturer , Department of Computer Science and Engineering

2. GOLDEN RATIO AND IT’S APPLICATION GROUP MEMBERS: 1.Rezwana Islam Ria 2.Humayra Khan 2

3. NAME : HUMAYRA KHANUM ID : 161-15-7325 3

4. What is Golden Ratio? The Golden Ratio is a special number founded by dividing a line two parts so that the longer part divided by the smaller part is also equal to the whole length divided by the longer part . It is symbolized using phi φ . 4

5. How is golden ratio calculated? 5

6. Golden Ratio in LOGO DESIGN 6

7. Golden Ratio and Fibonacci in Musical Instruments Stradivarius violin design using fibonacci and phi , the Golden Ratio. Phi are used in the design of violins and even in the design of high quality speaker wire. 7

8. Golden Ratio , Fibonacci And Music Note in all of the above, (which is the basis of music), all of the notes and intervals only use the Fibonacci Numbers 1, 2, 3, 5, 8, and 13. When we take any two successive (one after the other) Fibonacci Numbers, their ratio is very close to the Golden Ratio: a b b/a when b>a 2 3 1.5 3 5 1.666 5 8 1.6 8 13 1.625 8

9. Name : Rezwana Islam Ria ID:161-15-7071

10. Fibonacci sequence : Golden ratio = 1.618 Golden ratio = 1.618 10

11. Golden Ratio in Human Body 11

12. Golden ratio in art : Mona Lisa, oil painting by Leonardo da Vinci that is probably the world's most famous painting. 12

13. Interesting Math : 13

14. 14

Editor's Notes

Golden ratio = 1.618

Golden Ratio

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Golden Ratio

Editor's Notes