The GOLDEN RATIO

What do the pyramids in Egypt, Leonardo da Vinci's portrait of the Mona Lisa, sunflowers, the snail, the pine cone and your fingers, all have in common?

The examples of the golden ratio exist in our own bodies and in all living things in nature, are just a few of the proofs that God has created all things with a measure. Indeed, we are all part of a cosmic dance in which we affect and are affected by everyone and everything.

A Golden Ratio is a special number approximately equal to 1.6180339887498948482.

1,1,2,3,5,8,13,21,34,55,89,144,233,377,610 ...
0+1=1, 1+1=2, 1+2=3, 2+3=5, 3+5=8, 5+8=13, 8+13=21, 13+21=34, 21+34=55, 34+55=89,......

This is a sequence of numbers called the Fibonacci Sequence, named after thirteenthcentury mathematician Leonardo of Pisa, also known as Fibonacci. Each number in the series is the sum of the two previous numbers.

Dividing each number in the series by the one preceding it yields a ratio that stabilizes at 1.618034. For example,
2 ÷ 1 = 2, 3 ÷ 2 = 1.5, 1597 ÷ 987 = 1.618034, 4181 ÷ 2584 = 1.618034, and so on to infinity.

The digits of the Golden Ratio go on to infinity without any pattern repeating. It's related to the Fibonacci Sequence and is obtained by dividing each number in the series by the one that precedes it.

Leonardo da Vinci's Mona Lisa, the ratio of the height to width of that rectangle is equal to the Golden Ratio. No documentation exists to indicate that Leonardo consciously used the Golden Ratio in the Mona Lisa's composition, nor to where precisely the rectangle should be drawn.

Another painter, is the surrealist Salvador Dali, used the Golden Ratio delibaretly.The ratio of the dimensions of Dali's painting Sacrament of the Last Supper is equal to the Golden Ratio. Dali also incorporated in the painting a huge dodecahedron (a twelve-faced Platonic solid in which each side is a pentagon) engulfing the supper table. The dodecahedron, which according to Plato is the solid "which the god used for embroidering the constellations on the whole heaven," is intimately related to the Golden Ratio - both the surface area and the volume of a dodecahedron of unit edge length are simple functions of the Golden Ratio.

In the world of mathematics, the numeric value is called "phi", named for the Greek sculptor Phidias.
Phidias widely used the golden ratio in his works of sculpture. The exterior dimensions of the Parthenon in Athens, built in about 440BC, form a perfect golden rectangle.