Are you seeking Tutoring in Math in Surrey, BC? As one of the oldest subjects known to mankind, math has been held in fascination by several generations across a series of civilizations, ranging from ancient to modern. Among the several concepts that form a part of this subject, one which has enjoyed attention across centuries is the Golden Ratio. Do you know what it is?

**Golden Ratio Explained**

Also referred to as the Golden Mean, Golden Section, Divine Proportion and several other names, it is an expression that establishes a relationship between two quantities. Given any two quantities, if the ratio between them is equal to the ratio between the sum of two quantities to the larger of the two, then the two amounts are said to be in golden ratio. For example, if you have a larger line segment a, and a smaller line segment b, then a and b would form a Golden Ratio if the ratio between a and b is same as the ratio between (a + b) and a. Not only does the Golden Ratio exist in nature, particularly in plants in form leaf arrangements, but also in works of art and construction courtesy of being revered by architects and artists in the twentieth century. Off late, the Golden Ratio has also been applied to man-made systems, like the financial markets, to help with analysis and interpretation.

Historical Significance

Some of the oldest applications of Golden Ratio have been traced back to as early as 5th century BC when Plato related five solid figures through the Golden Ratio and Phidias used the concept to create the Parthenon statues. Another asymptomatic representation of the Golden Ratio is the Fibonacci Sequence wherein after the first two numbers, every subsequent number is the sum of the two preceding it. It was Luca Pacioli who is credited with describing the Golden Ratio as the divine proportion while almost every great scientist post 15th century, like Kepler, Ohm and Bonnet to name a few, dedicated some time in their illustrious careers studying this ratio and finding its application in their respective surroundings.

**Golden Ratio in Architecture and Paintings**

Parthenon Façade in Athens is believed to be an architectural representation of the golden rectangle and this concept was further explained and elucidated by renowned mathematicians like Euclid and Vitruvius. Golden Ratio is also evident in the Great Mosque of Kairouan, Tunisia, wherein all dimensions like the court, prayer hall, minarets and other elements have been found to conform to this ratio. In the contemporary era, Le Corbusier, a Swiss architect, has been known to center all his designs on the Golden Ratio and is also regarded as being responsible for using this ratio to design modular systems. Mario Botta, another Swiss architect, also used the Golden ratio extensively in his designs wherein the dimensions of houses designed by him bear the ratio in form of circles, squares, cylinders and cubes. Such has been the popularity of the Golden Ratio that it was incorporated by the legendary painter Leonardo da Vinci in his world-renowned work ‘Mona Lisa’. His creation of the Vitruvian Man is also believed to bear the Golden Ratio, although this claim is yet to be validated.

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