All the research on the golden ratio: link

There was Way To Much info and pictures to put properly on a website, unless you feel like reading walls and walls of text, so we put the basics here, and the rest is in the word document.


In mathematics and the arts, two quantities are in the golden ratio if the ratio between the sum of those quantities and the larger one is the same as the ratio between the larger one and the smaller. The golden ratio is approximately 1.6180339887.
At least since the Renaissance, many artists and architects have proportioned their works to approximate the golden ratio—especially in the form of the golden rectangle, in which the ratio of the longer side to the shorter is the golden ratio—believing this proportion to be aesthetically pleasing. Mathematicians have studied the golden ratio because of its unique and interesting properties.
The golden ratio can be expressed as a mathematical constant, usually denoted by the Greek letter phi.

Other names frequently used for or closely related to the golden ratio are golden section, golden mean, golden number, and the Greek letter phi. Other terms encountered include extreme and mean ratio, medial section, divine proportion, divine section, golden proportion, golden cut, and mean of Phidias.