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

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!

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