The golden ratio, a special numerical relationship approximately equal to 1.618, is prevalent in nature and has been utilized by ancient Egyptians and Greeks in architecture and art. It manifests in various elements including the human body, plants, and art pieces like the Mona Lisa, where proportions conform to this unique ratio. The document discusses numerous instances of the golden ratio in organic forms, geometry, and its mathematical significance.

1. GOLDEN SECTION
The golden ratio in the structureof assets in countless animate and inanimate
nature and are described in the formof a special rate. In addition, in another
recipe, Egyptians and by Greeks who used the architecture of this ratio, as
observed for centuries between parts of a whole with the landscape
architecture and applied in works of art, is supposed to providethe optimal size
in terms of compliance with them, digital and considered a rate connection
calculated geometrically it is.
This is the golden ratio, we find the most obvious way to unlimited similar in
nature and is seen in many asset. The firstis the human body that you see at
the beginning of sea turtles are found in the leaves of plants and trees in this
ratio. Golden ratio is considered to be equivalent portion is itself split. So a
couple of everything, plus and minus, as has been pointed to this special rate
things like that.

2. The golden ratio, firstdiscovered by the ancient Egyptians and Greeks used this
ratio and an excellent way in their architecture and in art. To put the golden
ratio in numerical terms; CB / AC: EU / CB: 1618 is expressed. In this way it
formulated the golden ratio is also desired to be expressed mana value
between these rates should give the 1618 figure, which is the golden ratio for
each measure. For example, the number of grains of sunflower center outward
fromright to left, left to right when those numbers gives the ratio between the
golden ratio.
Places that used the Golden Ratio
Chamomile: Chamomile is also a golden ratio like in sunflower.
Arms: As our upper portion of the arm to the sub-section ratio of the
golden ratio, the ratio of our entire upper arm still gives a golden
ratio.
Mona Lisa: Gives width ratio golden ratio of the length of this
painting.
Pine Cones Pine-cone beads in another fixed point towards the top of
the cone curves creating interest from a fixed point at the bottom of
the cone.
Shell: Examining the structure of the shell has been identified and
shown to a curvature of the curvature of the tangent of the Golden
Ratio.

5. FIBONACCI
Your hand takes from magazine’s page and you look shape of ypur
finger. Probably we will witness to the golden ratio here, too. Our
fingers are three knot. Fingers to little fingers the first two knot ratio
of middle fingers o little fingers ratio too. You have two hands. Your
fingers on your hands and these which just eight form a node as to
golden rato 2,3,5 and 8 coution to fibonacci numbers. You can
distinguish golden ratio is sprial the uniqe designs under the skin in
nature too.

6. GOLDEN SECTION
The proportion of edges golden ratio is equal to the golden ratio is
called the golden rectongle. 1,618 the long edge of the short edge
one unit is the rectongle is rectongle gold. Tis is of the entire edge of
the shortest rectongle side occepts a frone draw a quarter circle
between the two corners of the square. After you draw a square or
circle draw a small square and a quarter remaining in the and that
when they do the rectongle. When you do this you will be rectongle.
Examples of the GoldenRatioin the human body
Fromfingertip to elbow / distancebetween the wristand the elbow,
The distance to the head end of the shoulder line
Between the navel and the knee
AND THE END