Golden ratio ND it's application .

GOLDEN
RATIO
And its
APPLICATION…..

—SOMEONE FAMOUS
“In order to understand the universe you
must know the language in which it is
written and that language is mathematics”

INTRODUCTION
GOLDEN RATIO
APPLICATION
NATURE
HUMAN BODY
BUSINESS
CONTENT
FIBONACCI SERIES

The golden ratio is a Mathematical term ,used
to describe the relationship of two figure ,Where
by the number seen to be in some form of
complementary ratio.
It is denoted by the Greek later φ
And the value of φ =1.618
INTRODUCTION

HOW TO FIND ?
The whole length divided by the long part
is also equal to
The long part divide by the short part.

Mercury is the closest
planet to the Sun and
the smallest one in the
Solar System
FIBONACCI SEQUENCE
The Fibonacci sequence is a sequence of number
in which each successive number in the sequence
obtained by adding the two previous numbers in
the sequence

HOW IT IS RELATED TO THE PHI (φ )PROPORTION

APPLICATION
PRESENTED BY :-
SMRITI SHARMA
GOLDEN RATIO IN NATURE

(1) NATURE
In the world of nature ,things are
grown by adding some unit ,even the
unit is small.
The fact that branches and leaves of
plants follow certain mathematical
growth patterns ,
And these patterns are based up on
FIBONACCI SEQUENCE (Golden
ratio).

MATHEMATICAL Principles do appear to govern the
development of many patterns and structure in nature ,and as
time passes ,more and more scientific research find evidence
that the Fibonacci numbers and the golden ratio are prevalent
in natural object .
CONTD.

GOLDEN RATIO IN
HUMAN BODY
PRESENTED BY :-
ASHUTOSH WAGHEL

GOLDEN RATIO IN THE HUMAN BODY
The face is based on the golden ratio from top of the head
to bottom of the chin , it should be 1.618 inches on
average .this is a PHI proportion .
EAR:-Fibonacci
seq. formed in
ear ,helps
hearing better.
Also it has phi
proportions in the
spiral of ear.
EYES:-
(1) Equal spacing in
inner and outer
edges of the eyes.
(2) Space between eye
and eye white are in
golden ratio.
(3) Eyes form golden
rectangle

Teeth 1.618:
form a golden
rectangle.
Arms: the
ratio of your
forearm to
your hand is
1.618
Hands:
2hands ,5
digits and 8
fingers that
are
composed
of 3 section.
Foot : the
base of
toe line
and big
toe.

h
Heart Rhythm : The
EKG patterns of
heart beat is in PHI
relationship.
DNA ;- DNA spirals
have phi proportion .
The DNA molecules
measures 34
angstroms long by 21
angr Wide for each
cycle in the double
helix.

PRESENTED BY :-
SUMIT KUMAR
GOLDEN RATIO IN
BUSINESS

PHI (φ) is often used in business for two purposes .
1)DESIGN PRODODUCT LOGO
2)PRODUCT DESIGN
BUSINESS SCENARIO
PHI (φ) IS RECOGNIZED FOR ITS ABILITY TO GIVE
A SENSE OF AESTHETIC APPEAL IN BALANCE AND
HARMONY OF DESIGN .

(1)DESIGN PRDUCT LOGO
• Positive and memorable impact

 Note how every dimension of each letter of
logo are based on the proportions of PHI(φ)

 Also in the category of
potential appearance of PHI
 Most companies that
apply PHI in to their logo
,apply it to the
proportions of the logo .

PRACTICAL
Qn.What do you do , if your logo is simply your company name ?

PHI is also used in the proportion of product design
PRODUCT DESIGN
Pepsi`s ad agency did the
redesign the Pepsi logo above by
applying concepts of PHI and the
construction of golden section

“In order to understand the universe you must know
the language in which it is written and that language
is mathematics”
THANK YOU

Golden ratio ND it's application .

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