We often wonder what the golden ratio is. From our DNA to the Greek Parthenon. It is about the perfect proportion found all around us. Let's see what the Golden ratio is.
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Throughout history, many questions have been asked. The notion of the golden ratio was explored by many famous philosophers, architects, painters. For them, it was the perfect proportion to be found in their works.
Throughout the citabe human history, the golden ratio has attracted the attention of all artists. Through observation of the forms in nature, man realized that there are certain regular parts that are in a natural, perfect relationship, ie. proportions. The great Leonardo da Vinci talked about a "golden ratio" and the cross section that separates the whole into ideal parts is the "golden cross section". The golden section is the most perfect proportion of growing shapes in nature, its ratio is obtained by dividing one lengthwise so that the ratio of the larger part to the whole is the same as the ratio of the smaller part to the larger one. This ratio is exactly 0.6180339887 and its designation is the Greek letter Phi.
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The golden section has the greatest importance in mathematics in the famous Fibonacci sequence. When each number is divided by the following number from the Fibonacci sequence we get approximately 0.618. When the number is divided by the one in front then we get 1.618. The Fibonacci sequence was discovered by Leonardo of Pisa, called Fibonacci. In his work Liber abaci, he came up with a specific sequence in which each successive number corresponds to the sum of the two previous ones. That string is 1, 2, 3, 5, 8, 13, 21...
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Until the 19th century, the gold section and the Fibonacci sequence were only observed through mathematical and geometric problems. Then a German scientist investigated the emergence of these two phenomena in nature and art. He came to the conclusion that individual plants, anatomy as well as classic sculptures were made in gold. He also laid out the theory that the entire universe was built in accordance with these proportions.
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This was the first part, tomorrow I will continue with the second. Stay tuned and enjoy reading. Also, be sure to leave a comment and share your opinion. This is a broad topic so it is advisable to hear as many opinions as possible.
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It's great to see such a significant topic talked about on here. The golden ratio is a profoundly vital element of creation and a ratio towards which I believe all life everywhere strives towards. From the depth of your article, I will assume you know your fair bit about this topic, so I will not repeat what you know to you but will try to propose something you might not have come across.
It is true that the Fibonacci sequence strives towards Phi, not quite getting there, ever, but getting closer and closer each time, but so is the case for any random sequence of numbers, given that we follow the rule of adding the last and the current numbers together like in the Fibonacci sequence.
Take for example 1 and 56.
This sequence would go like this: 1, 56, 57, 113, 170, 283, 453, 736, 1189....
Now, if we divide each number by the previous we get this:
56/1 = 56
57/56 = 1.0178571429
113/57 = 1.9824561404
170/113 = 1.5044247788
283/170 = 1.6647058824
453/283 = 1.6007067138
736/453 = 1.6247240618
1189/736 = 1.6154891304
In just a few divisions we manage to get fairly close to Phi, which is pretty remarkable considering that this can be done with any 2 numbers. What are your thoughts on this?
Thanks for sharing this information. I cannot wait to read more and hear back from you.
Luka.
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Woow! Thank you on your comment. I think this is interesting topic that is everywhere around us. I didnt knew exactly about your example with 56. Something new for me. ✌️ Thanks again and enjoy your day.
Atim.
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You're welcome! It actually works with any 2 numbers, given that you apply the same rules to the creation of the sequence and then division.
Thank you, you too!
Luka.
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