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Golden Ratio

The best of all

Nathan Wong

on 7 September 2012

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Transcript of Golden Ratio

By Nathan Wong The Golden Ratio Ever heard of something called Golden Ratio? Or the golden rectangle? A golden rectangle is one with side lengths in the golden ratio, or approximately 1.618 This is a golden rectangle then this side will be 1.618 if this side is 1 cm This side Divide This side 1.168... This video shows the golden rectangle's secret Amazingly The height of the pyramid and the base Makes up a golden rectangle But that's not all A spiral also fits in a golden rectangle In geometry, a golden spiral is a logarithmic spiral whose growth factor the golden ratio. That is, a golden spiral gets wider (or further from its origin) by a factor of the golden ratio for every quarter turn it makes. Can you see the pattern? But that's not all! The golden ratio can be found everywhere. It can be found in paintings In architecture and also in galaxy Because the golden ratio can also be found in the HUMAN BODY!!!! Sometimes a human face can have a golden ratio In this, we can see that the face of Mona Lisa has the size of a golden rectangle In this picture, we can also see that there is also a Golden Ratio in the height to width of the center two teeth. And the ratio of the width of the two center teeth to those next to them is phi. And, the ratio of the width of the smile to the third tooth from the center is also phi. In this picture, it shows a human lung.The windpipe divides into two main bronchi, one long (the left) and the other short (the right). This asymmetrical division continues into the subsequent subdivisions of the bronchi. It was determined that in all these divisions the proportion of the short bronchus to the long was always 1/1.618. 1 1.168 But Now, You can see that many things have relationship with the golden rectangle But you have only see a small part of it in this animation There are still millions and millions of things in this universe which links to golden ratio And all you have just seen... Is just a tiny bit of it Remember about the golden spiral? Well, a golden spiral can be found in space too Let's look at this picture Notice any thing about this? If you see don't get it, then lets look at this picture We can see that this galaxy has a golden spiral and it is rare to see a golden spiral in a galaxy But that's not surprising, Oh, remember about the pyramid? The pyramids were built by Egyptians, as everyone knows, but remember the relationship of the golden rectangle and the pyramid? And this makes another question Does the Egyptian know the golden ratio first than Leonardo Pisano Bigollo? Let's look back in time The golden ratio is a restricted form of the Fibonacci sequence/number. The Fibonacci sequence/number was discovered by Leonardo Pisano Bigollo, also known as Leonardo of Pisa, Leonardo Pisano, Leonardo Bonacci, Leonardo Fibonacci, or, simply Fibonacci. The Fibonacci sequence/number was introduced in 1202. The Egyptian build the pyramids from around 2700 BCE to 1500 BCE. Could that just be a coincidence? "The Egyptians thought that the golden ratio was sacred. Therefore, it was very important in their religion. They used the golden ratio when building temples and places for the dead. If the proportions of their buildings weren't according to the golden ratio, the deceased might not make it to the afterlife or the temple would not be pleasing to the gods." So the Egyptians do know something about the golden ratio If that was true, it means that the ancient Egyptians was the first to discover the golden ratio! For me, I believe that the Egyptians was the first to discover the golden ragtio. But for you, I don't know what you think There are no right or wrong answer for that, so have a go and think what possibility can it be. You don't need to know this
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