Exploring Mathematics: The Golden Raito in architecture and nature ( By Kevin Xu)

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Exploring Mathematics: The Golden Ratio in architecture
and nature

The Golden Ratio in architecture can be found in many famous
buildings around the world. These buildings include:

·        
The Parthenon in Greece

·        
Notre Dame in Paris

·        
Taj Mahal in India

The Parthenon in Greece uses the Golden Ratio in the height
of the columns, the dividing line of the root support beam and the width of the
columns. The golden ratio of the columns is the structural beam on top of the
columns which is in proportion of the golden ratio to the height of the
columns. The dividing line of the root support beam is in proportion to the
golden ratio as the structural beam on top of the columns has a horizontal
dividing line. The width of the columns is in proportion formed by the distance
from the center line of the columns to the exterior columns.

The Notre Dame in Paris have three major architecture lines.
They are commonly known as the Red, Blue and green lines. The red line is the
vertical line height of the base at ground level in ration with the top of the
first and second level. The blue line is the vertical height of the base at
ground level proportion to the top of the second and third floor. The green
line is horizontal width outside of the left top section proportion the inside
of the top right section and the outside of the top right section.

The Taj Mahal in India is another example of the golden
ratio. It itself displays the ratio proportion in the width of the grand
central arch to its actual width and also the height of the windows inside the
arch to the height of the main section under the domes.

The Golden Ratio in nature can be found in various types of
plants. Examples of them are:

·        
Romanesque Broccoli

·        
Hurricanes

·        
Sunflowers                        

The Romanesque Broccoli has always had a spiral starting
from the center and all the florets are formed around the spiral thus creating
the Fibonacci spiral which consist of a series of smaller arcs with a radii
that will imitate the Fibonacci series.

A Hurricane is also an
example of the golden ratio as it has the golden ratio spiral formed inside the
hurricane from the center.

The sunflower is the
most common example of the golden ratio. The spirals in the sunflower use the Fibonacci
series to create their seed heads.Those seeds should come out golden!

 

 

 #exploremaths

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