**1.618**

The number you see is called “PHI”, pronounced ‘Fi” by most and “Fee” by some. It is called the “Divine Proportion” - the most beautiful number in the universe. It is derived from Fibonacci’s series. The series looks as follows and should be easy to interpret:

1,1,2,3,5,8,13,21,34,55,89,144,233,377,610, etc

As is evident, each successive number is the sum of the previous two numbers. Starting with the numbers 34 and 55, the quotient of each

__adjacent__number is

1.618

Actually the number is 1.618033339887…………….ad infinitum.

Another name for it is the “Golden Ratio”. This ratio can be found everywhere; in nature, architecture, art, botany, entomology, music (both classical and rock).

In nature – in every honeybee hive the female bees outnumber the male bees by exactly 1.618. In the nautilus shell the ratio of each spiral’s diameter to the one next to it is exactly 1.618. Studies have shown that when a falcon descends he follows a path that exactly imitates the spiral of a nautilus shell. Rabbits multiply at this ratio. Many leafed plants have their leaves arranged to take maximum advantage of sunlight and no ratio provides less overlap than Phi.

The seeds of an apple are arranged in a five-paneled star pattern - a pentagon – that is constructed by the ratio of its width to one of its sides being 1.618. The petals of a rose are arranged in the ratio of 1.618. In a sunflower, the ratio of each of its seed spirals to the next one is 1.618. The distance from a fish’s dorsal fin to its tail divided into its length is 1.618.

Artists have recognized the impact this ratio has on the viewer from their first works. The pyramids in Egypt (and in Mexico) are constructed using this ratio in their dimensions. The “Golden Rectangle” is considered the most beautiful geometric shape, especially for displaying art and its ratio of the height to its width is 1.618.

Leonardo DaVinci painted the perfect human body in “The Vitruvian Man”. This picture of the nude male standing in a circle with arms and legs outstretched is known by everyone. Throughout this painting the ratio has been used to compose the human form and reveal that its numerous dimensional relationships abide by the “Divine Ratio’. Just a few examples – the distance from the top of the head divided by the distance from the belly button to the floor, the distance from the shoulder to the fingertips divided by the distance from the elbow to the fingertips. Another – hip to floor by knee to floor and many, many more examples.

Mathematics is also filled with numerical relationships that abide by the ratio, especially as it relates to the number 5. The pentagon has already been mentioned. Another formula using the integer 5 is the square root of 5 multiplied by .5 and added to .5 equals – you got it!

There are numerous internet sites that give other examples of this unusual ratio. One good one to take a look at is http://goldennumber.net.