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.

FIBONACCI SEQUENCE

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LOGARITHMIC SPIRAL

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Vetruvian man

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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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