The Golden Ratio

The "golden ratio" is a completely unique mathematical dating. Two numbers are withinside the golden ratio if the ratio of the sum of the numbers (a+b) divided with the aid of using the bigger variety (a) is same to the ratio of the bigger variety divided with the aid of using the smaller variety (a/b).

The golden ratio is set 1.618, and represented with the aid of using the Greek letter phi, Φ.

The golden ratio is fine approximated with the aid of using the famous "Fibonacci numbers." Fibonacci numbers are a endless series beginning with zero and 1, and persevering with with the aid of using including the preceding  numbers. The subsequent numbers withinside the Fibonacci series, for instance, are 1,2,three, and 5.

                    0

                    1

                    1 (0 1)

                    2 (1 1)

                    3 (2 1)

                    5 (3 2)

The ratios of sequential Fibonacci numbers (2/1, 3/2, 5/3 , etc.) technique the golden ratio. In fact, the better the Fibonacci numbers, the nearer their dating is to 1.618.

                    2/1 = 2

                    3/2 = 1.5

                    5/3 = 1.66666666 . . .

The golden ratio is every now and then known as the "divine proportion," due to its frequency withinside the herbal world. The variety of petals on a flower, for instance, will frequently be a Fibonacci variety. The seeds of sunflowers and pine cones twist in opposing spirals of Fibonacci numbers. Even the edges of an unpeeled banana will generally be a Fibonacci variety—and the variety of ridges on a peeled banana will generally be a bigger Fibonacci variety.

Beauty

This rectangle has been made the usage of the Golden Ratio, Looks like a normal body for a painting, would not it?

Some artists and designers trust the Golden Ratio makes the maximum attractive and exquisite shape.

Do you suspect it's far the "maximum attractive rectangle"?

Maybe you do or don't, this is as much as you!

Many homes and works of art have the Golden Ratio in them, together with the Parthenon in Greece, however it isn't certainly acknowledged if it became designed that way.

The Actual Value

The Golden Ratio is identical to:

1,61803398874989484820... (etc.)

The digits simply hold on going, without a pattern. In truth the Golden Ratio is thought to be an Irrational Number, and I will let you know extra approximately it later.