History of Phi
What makes a smile better looking will vary from person to person based on their own values and the values placed on them by society.
In this discussion we are dealing with the classical form of beauty. It is not our intention to demean or insult anyone who does not present in the classical definition of beauty as we recognise this is not the only way beauty can present itself nor are we saying it is the best. The purpose of this discussion is to attempt to explain why sometimes we ask ourselves “Do my lips look too thin? Do my teeth look too short? Is my Nose too big? My teeth too dark?
But the real question is .. “compared to what?” Clearly some people have bigger noses than others but they look fine whilst others have “average” sized noses but appear too big! Some of the answer is proportion and proportion is described in ratios.
The mathematics of beauty
The ratio phi has captivated mathematicians, artists and designers for centuries. Also known as the golden ratio, its ubiquity and functionality in nature suggests its importance as a fundamental characteristic in the universe. It is for this reason it is also known as the Devine ratio.
The mathematician Fibonacci was one of the first to develop a sequence of numbers
Each number is the sum of the previous two, but it appears that in the upper numbers of the sequence, multiplying the previous number by the divine ratio 1.618 gives you the next number in the sequence.
These Fibonacci number sequences can be seen in nature. Examples are found in; the number of petals in flowers, clover leaves, pine cone seeds and pineapple seedpods to name but a few.
The rectangles with sides that ratio to the golden ratio can be superimposed to form a nestling process that can be repeated to infinity and which can take on the form of a spiral( the logarithmic spiral) and this is found in abundance in nature, from small shells to the swirls in hurricanes to the shape of spiralling galaxies like our own Milky Way.
Leonardo Da Vinci drew the Vitruvian man based on the golden ratio. He was able to demonstrate examples of the ratio in many parts of the body. Such as: the ratio of the forearm to the hand and the length of a finger to the length of the palm of the hand at the point it meets that finger… the list goes on… The mouth and other structures of the face in classic beauty also hold to the Devine ratio.
The golden ratio Phi 1.618 in classical beauty
It was Leonardo da Vinci’s belief and that of other great artists, that following the Devine or Golden ratio approximated their work much closer to the occurrences in nature and in doing so, fell much easier on the eye and defined beauty.
Using the same principles on the smile, returning structures such as tooth and lip shape and size to the golden proportion, the smile appears classically more beautiful.
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