The Golden Ratio

You may or may not have heard of the golden ratio. It is used in art work and architecture. In this project we had to demonstrate how you can you the golden ratio in artwork/architecture.

I had never heard of the Goledn Ratio before. To get an understanding of what the golden ratio even was, we did a small activity in class. We had to find five objects around the room that used the golden ratio. We also had to research and find images off of the internet with the golden ratio. To see if the object had the golden ratio, you measure the two side lengths and divide them, if they equal 1.61, that is how you know the golden ratio has been used.

What is the Golden ratio?

The golden ratio is used in architecture, nature and art. It was actually founded by the Greeks. The symbol is the Greek letter, phi. It is a number approximately equal to 1.618. To draw the ratio, you measure the object and make sure the measurements were going to equal 1.618 (the golden ratio) and then make a square out of the rectangle.

The phi symbol:

 

An example of architecture that used the golden ratio is the Parthenon, a temple in Greece. The fact that it uses the golden ratio, makes it look neater and more appealing to the eye.

Like I said earlier, many artists use the golden ratio in their art work. Leonardo Da Vinci and many other artists use the golden ratio their art work. The golden ratio is found in the face of the Mona Lisa. To answer the question on, how if math used in art to create patterns and appeal to our sense of aesthetics? Well, it is proven times to be aesthetically pleasing to the human eye!

 

How I used the golden ratio for my project,

This project was pretty open. We could show the golden ratio with pretty much anything. Some people made sculptures and some drew. I chose to draw. For my golden ratio project I used the golden spiral for a lot of my objects. To do this, I measured the object that I was trying to draw, and then made sure the measurements were going to equal 1.618 (the golden ratio). To make the spiral over lay, I make a rectangle around the object and then made a square from that rectangle. And then you keep cutting it. The spiral has to follow the object. All of the objects in my drawing follow the golden spiral.

Here is my original drawing:

For my project, I used Sketches Pro. The reason I used it was because, there were many different types of tools I could use. I could also use the layers that was helpful when it came to drawing the golden ratio over top of it.

 

I showed how the golden ratio is found in nature. I was actually pretty surprised on how many times the golden ratio is found in nature. I got inspiration from the internet  for the parrot I used a parrot to show the golden ratio in animals. This parrot follows the golden spiral.

The Golden spiral is very similar to the Fibonacci spiral, but is based on a series of identically proportioned golden rectangles. You can use the golden spiral to help draw and get the right proportions of an object.

 

I also showed the golden spiral in flowers and trees and even the moon. So this just shows that the golden ratio can be used in pretty much anything. This is whole project just shows how important math is when it comes to art. Math literally used in everything.

There were a few things to revise. I needed to make sure all of the spirals lined up with the object. I also changed the background to a sunset to make it look a bit more interesting.

Revised project:

As you can see the spiral lines up better with the drawings. It is easier to see that the object has follow the golden ratio.

Overall this project was pretty fun, we got to be creative and make our own creations. This project shows how important math is, and how it is used everywhere.

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