In art and science, Phi is the Divine Proportion. This mysterious form of numeric perfection has shaped our world and fulfilled our senses. From Egypt's inspiring pyramids to Da Vinci's majestic masterpieces to the soothing sound of the violin, Phi has empowered creation.
Phi-nomenal leverages this time-tested perfection to create the extraordinary! Through an entirely new patent pending application of Phi, the world's most perfect number, Phi-nomenal aims to fulfill the human senses.
PHI (Ф) - The world's most perfect number --
is also known as the Divine Proportion, Golden Ratio, Golden Section, and Golden Mean. Phi can be seen in beauty, nature, art, music, architecture, and even the human anatomy.
Phi in Beauty
The Greeks said that all beauty is mathematics. If that is true then perhaps there is a mathematical code, formula, relationship or even a number that can describe beauty. Historically many different numbers have been tried in an attempt to describe beauty. However, only one mathematical relationship has been consistently and repeatedly reported to be present in beautiful things. This particular relationship is Phi "Golden Ratio" (or the Divine Proportion which in beauty may be more tangible). There is significant evidence that our perception of physical beauty is hard-wired into our being and based entirely on how closely one's features reflect Phi in their proportions.
Phi in Nature
In nature, growth occurs in units, even if the unit is as small as a molecule. Nature demonstrates perfection in many ways due in part to the fact that Phi is known as the ideal rate of growth. Some examples are the Nautilus shell (Nautilus pompilius) which grows larger on each spiral by Phi. The sunflower has 55 clockwise spirals overlaid on either 34 or 89 counterclockwise spirals, a Phi proportion. The star fish shell is a Phi pentagon (5-pointed star). On many flowers, the number of petals is a Fibonacci number which is a number in a series where the ratio (Divine Proportion) of any two consecutive numbers in the series isolates around Phi.
Fibonacci numbers can also be seen in the arrangement of seeds on flower heads. Each new seed is just a Phi (0·618) of a turn from the last one (or, equivalently, there are Phi (1·618) seeds per turn). No matter how big the seed head gets, the seeds are always equally spaced. At all stages the Fibonacci Spirals can be seen. Pine cones show the Fibonacci Spirals clearly.
Phi in Art
Take a trip to your local library. You will find that many books on oil painting and water color point out that it is better to position objects not in the center of the picture but to one side or "the Phi point" of the way across, and to use lines which divide the picture into Golden Sections. This seems to make the picture design more pleasing to the eye and relies again on the idea of the Golden Section (or Divine Proportion) being "ideal". Leonardo Da Vinci is well known for his use of Phi Proportions in his famous art work. The French Impressionist painter Georges Pierre Seurat and Salvador Dali also used Phi in laying out and framing their paintings.
The Italian artist, Mario Merz says, in regards to his use of Phi Proportions in his art work, "it is a metaphor of the human quest for order and harmony among chaos."
Phi in Music
In Beethoven's Fifth the famous opening "motto" appears not only in the first and last bars (bar 601 before the Coda) but also exactly at the Golden Mean point 0·618 of the way through the symphony (bar 372) and also at the start of the recapitulation which is Phi or 0·382 of the way through the piece! Reports on the analysis of many of Mozart's sonatas find they divide into two parts exactly at the Golden Section point in almost all cases. The section on "The Violin" in The New Oxford Companion to Music, Volume 2, shows how Stradivari was aware of the Golden Section and used it to place the f-holes in his famous violins.
Phi in Architecture
The golden rectangle appears in many of the proportions of that famous ancient Greek temple, the Parthenon, in the Acropolis in Athens, Greece. Additionally, Renaissance architects used the Phi ratio in their creations, such as Notre Dame in Paris. In some of the architectural creations, the designers may have made a conscience choice to use Phi ratios but in others, such as the Pyramids there is no evidence that the architects actually recognized Phi or its mathematical significance.
Phi in Human Anatomy
Look at your own hand:
You have ...
2 hands each of which has ...
5 fingers, each of which has ...
3 parts separated by ...
If you measure the lengths of the bones in your finger (best seen by slightly bending the finger) the ratio of the longest bone in a finger to the middle bone is Phi.
The distance from the top of your head to the floor divided by your arm span measured fingertip to fingertip is Phi.
Strands of DNA are Phi spirals.
Collectively, it appears that many in the various arts have recognized that Phi based constructions of audible and visual works are pleasing and stimulating to people's senses of hearing and vision. In other instances, it appears that some artists and architects tend to formulate their creations unknowingly around Phi. Simply, there is something about this number that draws people to it. Perhaps, it has to do with the divine nature of the ratios and the human connection to the divine. Or perhaps, Phi has some undiscovered significance in physics that dictates how nature is constructed and accordingly, how living things, such as humans, are drawn to Phi.