# Understanding PHI: The Basic of the Golden Ratio

Posted on
March 11, 2019

Phi (also known as 0+1.618033988749895) is most often pronounced like “fi” and is an irrational number, but one that has many mathematical properties. Phi is the solution to a quartic equation and the basis for the Golden Ratio, developed by Greeks. It is named after the Greek sculptor Phidias.

Phi – or Golden Ratio – appears in the universe everywhere, and its use is limitless. You will see it in mathematics, geometry, art, architectural design of any kind, logos, products, fashion, web designs, photo cropping and, most important, at CAS Clinical Med Spa in aesthetics.

Studies have shown that when random faces are viewed, the ones deemed most attractive are those with substantial parallels to the Golden Ratio. Faces judged as the most beautiful often show Golden Ratio proportions between the width of the face and the width of the eyes, nose and the eyebrows.

Look at Leonardo da Vinci’s illustration of "Divine Proportion" in 1509 as well as the Mona Lisa. The Golden Ratio – technically 1.618 – has been used for centuries in art. Da Vinci used the Golden Ratio to define all the proportions in his “Last Supper” artwork, all the way down to the dimensions of the table and the proportions of the walls and backgrounds.

With aesthetics, beautiful people of all races look similar in terms of facial shape, balance, and proportions. Most people share a sense of what is attractive, regardless of nationality, age, or ethnic background, according to recent studies validating the significance of Phi. The Golden Ratio measures the length and width of the face. Divide length by width, and if the result is close to 1.6, you have a Golden Ratio.

When viewing a face, the eye focuses on seven areas. We call these “The Magnificent Seven.”

1. Facial shape – symmetry of chin and cheeks
3. Eyebrow shape
4. Eye size and distance between eyes
5. Nose shape
6. Lip length and height
7. Skin clarity, texture, and color

When measuring for Phi, we at CAS Med Spa we use Calipers, which has five benefits with the Golden Ratio.

1. We can show more accurately where the face has balance, harmony, and proportion.

2. We can tell you more geographically which areas on your face need more attention.

3. It serves as an education tool for our patients regarding the aging process and how areas change over time.

4. It assists with developing a more tailored and customized approached with our patients. We do not believe in a one-size-fits-all program.

5. It begins the foundation for the design for a full-face treatment plan, leading into our Presidential maintenance program (for qualifying members only).