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## The Golden Ratio

Golden Ratio – History: The Golden Ratio is a mathematical ratio that is found throughout nature. It is often referred to as the divine proportion, the golden mean, or the golden section. The Golden Ratio is approximately 1.618. It can be found in the proportions of many things in nature, such as flowers, shells, and animal bodies.

## History of Golden Ratio

- The golden ratio is a number that has been found throughout nature, art, and mathematics. It is said that the golden ratio is the most aesthetically pleasing ratio to the human eye. The golden ratio is also known as the divine proportion, the golden mean, and Phi.
- The golden ratio is a number that is found by dividing a line into two parts so that the longer part divided by the shorter part is also equal to the whole length divided by the longer part. This number is approximately 1.618.
- Some of the first known references to the golden ratio come from the ancient Greeks. Euclid, who is known as the father of geometry, mentioned the golden ratio in his book Elements. He wrote that the ratio was found in the pentagram, a five-pointed star.
- The golden ratio continued to be studied by mathematicians over the centuries. In the 1600s, Johannes Kepler wrote about the golden ratio and its appearance in nature. In the 1800s, Gustav Theodor Fechner, a German scientist, conducted studies on the golden ratio and its effects on the human eye.
- The golden ratio has been used by artists and architects for centuries. Some of the most famous examples include the Mona Lisa by Leonardo da Vinci and the Parthenon in Athens, Greece.
- The golden ratio is also found in mathematics. It is used in geometry to find the proportions of objects and in calculus to find the roots of equations

## Applications And Usage of Golden Section

- The golden section is a mathematical ratio that is found throughout nature and has been used by artists, architects, and scientists for centuries.
- The ratio is 1:1.618 and is often represented by the Greek letter Phi.
- The golden section can be used to create pleasing proportions in art and design, and it has been found to be particularly effective in landscape design.
- The golden section can also be used in engineering and physics to create objects and structures that are both strong and aesthetically pleasing.

## Golden Ratio Calculator

- The Golden Ratio Calculator will calculate the golden ratio for a given value.
- Golden Ratio = 1.618033988749895

## What is the Golden Ratio Rectangle?

The Golden Ratio Rectangle is a rectangle that has its long side divided into two equal parts and its short side divided into three equal parts.

## Facts And Examples of Golden Ratio

Facts:

The golden ratio is a mathematical ratio that is found in many places in nature.

The ratio is 1.618 to 1.

The golden ratio is also known as the divine proportion.

Examples:

The golden ratio can be found in the proportions of many natural objects, including flowers, seashells, and animals.

Some famous examples of art that incorporate the golden ratio are the Mona Lisa and the Parthenon.