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BELIEVE IT OR NOT!!
YOU WILL FIND IT EVERYWHERE
YOU LOOK AROUND !
PRESENTED BY:
HIMANI ASIJA
NEW DELHI
INDIA
IT RULES THE ANIMANLS AROUND
YOU…
THE BUTTERFLY, THE STARFISH ARE
GOVERNED BY SYMMETRY
THE SHADOWS AND THE MIRROR IMAGES OF OBJECTS
YOU MAY FIND IT HERE…
IN THE PETALS OF A FLOWER
OUR BODY STRUCTURES ARE
GOVERNED BY IT…
OUR BODY STRUCTURE FOLLOWS
THE GOLDEN RATIO
1 1
2
3
5
8
13
-a spiral drawn in the squares, a
quarter of a circle in each square
-it is a good approximation to a kind of
spiral that does appear often in nature
-Such spirals are seen in the shape of shells
of snails and sea shells and in the
arrangement of seeds on flowering plants
too.
-The spiral-in-the-squares makes a line from
the centre of the spiral increase by a factor
of the golden number in each square. So
points on the spiral are 1.618 times as far
from the centre after a quarter-turn.
THE GOLDEN RATIO
IN THE ARCHITECTURE OF
BUILDINGS
THE TAJ MAHAL
TYCHO BRAHE PLANETARIUM IN
COPENHAGEN
KOBE TOWER
NUCLEAR REACTORS
WHISPERING
GALLERIES
IN REFLECTORS OF
CAR LIGHTS
IN SATELLITE DISH ANTEENAS AND
SOLAR FURNACES
SONIC BOOM SHOCK WAVE
MAKES OUR LIFE EASY…
IN VARIOUS SCIENTIFIC
PRINCIPLES
ORBITS OF PLANETS ORBITS OF ATOMS
VARIOUS POLYGONAL
STRUCTURES IN NATURE
WATER RIPLETS BEE HIVE
THE SHAPE TAKEN BY THE
WATER FOUNTAIN
A BALL FALLING UNDER
GRAVITY
IN THESE AS FRACTALS…
THE PEACOCK THE SOWFLAKE THE BROCCOLLI
PLANT CAULIFLOWER TREES
LEAF BRANCHES
SNAIL’S SHELL
CLOUDS LIGHTNING COASTLINE
OCEAN ROSE FLOWER
LUNG ALVEOLI BRAIN CELLS FINGER PRINTS
HEART CELLS AND
VEINS
SO
WHAT IS IT THAT IS THERE
EVERYWHERE AROUND US?
RIGHT GUESS!!
ITS MATHEMATICS
THEN WHY TO BE SCARED OF
IT??
LETS START LOVING IT
BECAUSE WHEN YOU START
LOVING IT YOU WILL
EXPERTISE IT

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