Understand the Golden Ratio - Get Help Here

In summary, the conversation is about someone asking for help in understanding the Golden Ratio. They are directed to a Wikipedia page and two videos that explain the concept in an entertaining and intuitive way.
  • #1
TheBiologist
18
4
I've heard of it, but unfortunately, I don't really understand in depth what it actually is. Could someone please help me with this? Thanks.
 
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  • #2
TheBiologist said:
I've heard of it, but unfortunately, I don't really understand in depth what it actually is. Could someone please help me with this? Thanks.
Maybe, start by reading: http://en.wikipedia.org/wiki/Golden_ratio
 
  • #3
  • #4
Here are two very entertaining (IMO) videos that introduce the Fibonacci numbers and the Golden Ratio in a very intuitive way:
Fibonacci numbers:


Golden ratio:


And there is a third video in the series that motivates other patterns.
 
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  • #5


The Golden Ratio, also known as the Divine Proportion or Phi, is a mathematical concept that has been studied and admired for centuries by mathematicians, artists, and scientists. It is a ratio of approximately 1.618:1, and is often represented by the Greek letter phi (φ). This ratio is found in many natural and man-made structures, such as the proportions of the human body, the shape of seashells, and the design of famous buildings like the Parthenon.

In essence, the Golden Ratio is a proportion that is aesthetically pleasing to the human eye. It is believed to create a sense of balance, harmony, and beauty. This ratio is derived from the Fibonacci sequence, a mathematical pattern where each number is the sum of the two preceding numbers (1, 1, 2, 3, 5, 8, 13, etc.). As the numbers in the sequence get larger, the ratio between them approaches the Golden Ratio.

The Golden Ratio has also been studied in relation to music, art, and even the stock market. Some scientists believe that it may have a psychological effect on humans, as we are naturally drawn to objects and designs that follow this ratio. However, there is still ongoing research and debate about the significance of the Golden Ratio in various fields.

I hope this explanation helps you better understand the concept of the Golden Ratio. It is a fascinating topic that continues to intrigue and inspire scientists and artists alike. If you have any further questions, please don't hesitate to ask.
 

What is the Golden Ratio?

The Golden Ratio is a mathematical concept that describes the relationship between two quantities where 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. It is approximately 1.618 and is often seen in nature, art, and architecture.

How is the Golden Ratio used in science?

The Golden Ratio is used in science to describe and understand the patterns and proportions found in nature. It is also used in various fields such as biology, physics, and astronomy to study and explain the relationships between different elements.

What are some examples of the Golden Ratio in nature?

Some examples of the Golden Ratio in nature include the spiral shapes of seashells, the branching patterns of trees, the arrangement of leaves on a stem, the proportions of the human body, and the growth patterns of many plants and animals.

How is the Golden Ratio used in art and design?

The Golden Ratio is used in art and design to create aesthetically pleasing compositions. Many artists and designers use the Golden Ratio to determine the proportions of their work, such as the placement of objects, the dimensions of a canvas, and the proportions of a building or structure.

What are some common misconceptions about the Golden Ratio?

One common misconception about the Golden Ratio is that it is a rule that must be followed in order to create beautiful or successful designs. In reality, the Golden Ratio is just one of many principles that can be used in art and design, and its use is subjective and not a guarantee of success. Another misconception is that the Golden Ratio can be found in everything, but in reality, it is just an approximation and not every object or structure will have a perfect Golden Ratio proportion.

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