Phi, a symbol of the greek alphabet, has been adapted in modern culture to be the mathematical representative of the "ideal." Also associated with the "Gloden Mean," the ideal balance of life, Phi is actually not a number but a relationship.
Phi is not a number but a relationship.

We tend to focus on the visible numbers, but they represent the accumalative process that manifests them. We could actually start with any two numbers, adding each consecutive pair to get the next term, yet the ideal limit will always approach Phi.

Any way we approach Phi, it leads us to its source in the infinite. Here are two equations mathematicians have found that also approach the ideal value of Phi. Don't try to solve these equations. Just look at them. Each is a picture, a mathematical mandala clothing the infinite as it zooms by. Notice how each is composed solely of unity interacting with itself, embedded Monads unfurling as far as we can see in self-replicating rhythm, like mirrors facing each other. These mathematical formulas are composed of an endless chain of parts that resemble each other and the whole. In this sense, Phi is the mathematical equivelant of a hologram.

The mathamatical representation of phi, and the ratio of the "golden mean," the "golden proportion," or the "Fibonacci Relationship," can be commonly found throughout the design of material reality. Phi is the rhythm of the process of manifestation. As a frequent universal equivalent, the pattern of phi is seen in the geometry of the human body, the splay of branches in a tree, pinecones, and most of organic life--in distance of orbital paths in the solar system, classic art, architecture--and in any entity composed in a spiraling form, such as seashells, whirlpools, and the galaxy.

 

golden rectangle = 21/13 ratio (13:20)

 

[resource from "A Beginner's Guide to Constructing the Universe, by Michael S. Scheider]