Secret of golden mean ratio:
1.618~(or its inverse 0.681~): number of golden ratio is a mystery of ka`aba. Unbelievely, the closer a ratio to this number in an object or a system of objects ,the more beautifull it is manisfied. Phi constant: 1.681~; superior design number of mathematics, is a repairing decimal , which never ends. This formula is b/a. The creator has always used the very same number in numerous events in the universe even in our bodies. The aspect ratio of DNA spiral, I dodecahedron, phylotaxy , I the snowflake crystals,in the spiral structure of numerous galaxies. The creator used the same number;the number of golden ratio which is 1.681~. As a result of his 25 years long study, aesthetic Dr.Steven Markout proves that each of human faces and bodies , created pursuant to this ratio, are compeletly beautifull. If the realative ratio is 1.681 for the components of any structure ,then this form will be convenient to golden ratio, the perfect design. It is determined that this ratio has been used for the design of various reputable architecture structures, even including pyramids in Egypt. Famous astronomer kepler defined this number as a great treasury. So, where is the golden ratio point of the world?

The propotion of distance between Mecca and north pole to the distance between Mecca and south pole is exactly 1.681, which is the golden mean. The miracle has not been compeleted yet; there is one unique verse in Qur`an that includes world ‘Mecca’ and an expression that mentions clear evidences within the city which will grant faith to humanity. The relation between the city of Mecca and the golden ratio is clearly engraved in the surah al-imran verse 96. The total number of all letters of this verse is 47. Calculating the golden ratio of total letters, we find out that the word mecca.

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The Golden Number
1.61803 39887 49894 84820 is by no means a number of memorization. However, it is a recognizable one. Never will you find a combination of numbers that is more significant than this one. This ratio is known as the Golden Number, or the GoldenRatio. This mystery number has been used throughout different aspects of life, such as art, architecture, and of course, mathematics. One may wonder where the GoldenRatio came from? Who thought to discover it? When was it discovered? And how has it been used throughout time? The Goldenratio has been used throughout different aspects of life after being discovered during the ancient times.
About two to three thousand years ago, the GoldenRatio was first recognized and made use by the ancient mathematicians in Egypt. The goldenratio was introduced by its frequent use in geometry. An ancient mathematician, sculptor, and architect named Phidias, who used the goldenratio to make sculptures, discovered it. He lived from sometime around 490 to 430 BC. None of his original works exist, however he was highly spoken of by ancient writers who gave him high praise. Hegias of Athens, Agelades of Argos, and Polygnotus of Thasos were said to have trained him.
Although not much is known about...

...The GoldenRatio
The theory of the Italian mathematician Leonardo Pisano is extremely present today. While he was trying to sort out the number of rabbits that mated in a year, he discovered a series of numbers, that are profoundly consistent in man, nature & animals. This discovery was extraordinary, but he also found that the ratio always resulted in 1.618. Although it is called differently, this ratio is often called „the goldenratio“. It's marked with the Greek letter phi. It's just amazing how we've used it to create beauty in art & architecture, today you may find the goldenratio in everydays objects such as tables, couches, doors,posters, books and etc.
Because it is very pleasing to the eye, the goldenratio is used alot in art. Leonardo da Vinci used the goldenratio in many paintings including The Vetruvian Man"(The Man in Action)" The Annuncation, The Mona Lisa, St. Jerome, Micahelangelo in Holy Family, Raphael in Crucifixion, Rembrandt in the self-portrait by and other art works. The goldenratio was especially used in the Renaissance and by the greeks and the romans. Various important proportions of Michelangelo’s amazing sculpture, David, are carved in the GoldenRatio...

...What is the GoldenRatio
The golden ration can occur anywhere. The golden proportion is the ratio of the shorter length to the longer length which equals the ratio of the longer length to the sum of both lengths.
The goldenratio is a term used to describe proportioning in a piece. In a work of art or architecture, if one maintained a ratio of small elements to larger elements that was the same as the ratio of larger elements to the whole, the end result was pleasing to the eye.
The ratio for length to width of rectangles is 1.61803398874989484820. The numeric value is called "phi".
The GoldenRatio is also known as the golden rectangle. The Golden Rectangle has the property that when a square is removed a smaller rectangle of the same shape remains, a smaller square can be removed and so on, resulting in a spiral pattern.
The Golden Rectangle is a unique and important shape in mathematics. The Golden Rectangle appears in nature, music, and is often used in art and architecture. Some thing special about the golden rectangle is that the length to the width equals approximately 1.618
Golden Ration = Length = 1.6
Width
The golden rectangle has been discovered and used...

...The GoldenRatio
The goldenratio is a unique number approximately equal to 1.6180339887498948482. The Greek letter Phi (Φ) is used to refer to this ratio. The exact value for the goldenratio is the following:
`
A popular example of the application of the goldenratio is the Golden Rectangle. Interestingly enough, many artists and architects have proportioned their works to apply the goldenratio in the form of the golden rectangle. A golden rectangle is a rectangle where the ratio of the longer side (length) to the shorter side (width) is the goldenratio If one side of a golden rectangle is N ft. long, the other side will be approximately equal to N(1.62) or N(Φ). One interesting attribute about the golden rectangle is that if you cut a square off it so that what remains is a rectangle, the remaining rectangle will also have the length to width properties of the goldenratio, therefore making it another golden rectangle. What happens is that if you keep cutting squares off, each time you get a smaller and smaller golden rectangle. Leonardo Da Vinci, the famous mathematician and artist from the Renaissance, featured the golden...

...The GoldenRatio
The goldenratio is a number used in mathematics, art, architecture, nature, and architecture. Also known as, the divine proportion, goldenmean, or golden section it expresses the relationship that the sum of two quantities is to the larger quantity as is the larger is to the smaller. It is also a number often encountered when taking the ratios of differences in different geometric figures.
Represented mathematically as approximately 1.618033989, and by the Greek letter Phi, the number tends to show up frequently in geometrical shapes. For example, the goldenratio is the basis for the construction of a pentagram. This shape looks like a regular star; five straight lines form a star with five points. The pentagon within the star in the center is proportional to the points of the star by a ratio of 1: 1.618.
The goldenratio appeared so much in Geometry, as stated above with the pentagram example, that it intrigued the Ancient Greeks. They studied the ratio for most of the same reasons mathematicians study it today. They found it to have unique and interesting properties. It is said that the Parthenon, among other Greek architecture have many proportions approximate to the goldenratio. Other classical buildings and structures...

...The GoldenRatio
By : Kaavya.K
In mathematics and the arts, two quantities are in the goldenratio if the ratio of the sum of the quantities to the larger quantity is equal to the ratio of the larger quantity to the smaller one. The goldenratio is an irrational mathematical constant, approximately 1.6180339887. Other names frequently used for thegoldenratio are the golden section and goldenmean. Other terms encountered include extreme and meanratio, medial section, divine proportion, divine section, golden proportion, golden cut, golden number, and mean of Phidias. The goldenratio is often denoted by the Greek letter phi, usually lower case (φ).
[pic]
The golden section is a line segment divided according to the goldenratio: The total length a + b is to the longer segment a as a is to the shorter segment b.
The figure on the right illustrates the geometric relationship that defines this constant. Expressed algebraically:
[pic]
This equation has one positive solution in the algebraic irrational number
[pic]
At least since the Renaissance, many artists and architects have proportioned their...

...Goldenratio ; The Definition of Beauty
“Geometry has two great treasures: one is the Theorem of Pythagoras; the other, the division of a line into extreme and meanratio. The first we may compare to a measure of gold; the second we may name a precious jewel.” Johannes Kepler, 1571-1630
The goldenratio is present in everyday Life. The golden proportion is the ratio of the shorter length to the longer length which equals the ratio of the longer length to the sum of both lengths. It can be expressed algebraicay like :
This ratio has always been considered most pleasing to the eye. It was named the goldenratio by the Greeks. In the world of mathematics, the numeric value is called "phi", named for the Greek sculptor Phidias.
The GoldenRatio is also known as the golden section, goldenmean or golden rectangle. The Golden Rectangle has the property that when a square is removed a smaller rectangle of the same shape remains, a smaller square can be removed and so on, resulting in a spiral pattern. It is a unique and important shape in mathematics which also appears in nature, music, and is often used in art and architecture.
Our human eye „sees“ the golden rectangle as a beautiful geometric...

... GOLDENMEAN
It all started from this very smart man named Leonardo Bonacci, also known as Fibonacci. Fibonacci was a very important mathematician in Europe; he is believed to be the first. He learned with Arabic mathematicians and had an Arabic learning background to math. Fibonacci had this idea of counting how many rabbits are produced in a yearí ĉ. Fibonacci started with a pair of rabbits. The next month he had a new pair, as well the next one too. Fibonacci started working for a solution, as the months continued, he noticed a certain pattern was being followed. From 1 to 2, 3 to 5, 5 to 8, 8 to 13, 13 to 21, and so on, the numbers were sum up. For example, 1 plus 2 equals 3, 2 plus 3 equals 5, 3 plus 5 equals 8, and continues on to infinity. This became known as the Fibonacci Series. This was the missing factor to unlock the key of more then a group of rabbits. The Fibonacci series wasn’t only seen in the reproduction of rabbits. It was seen in Art, Music, Nature, and Architecture.
As time went by in the 12th century, people wanted to understand the theory of the Fibonacci Series, it was broken down into parts, bits of it where being explained. People then found out as the Fibonacci numbers increase the proportion of two successive numbers, they similar to each other. Each ratio get close too, but never reaches an infinite decimal beginning with the numbers 1.618. This ratio was first named the...

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