Hello, Internet.

So, recently in math we’ve been learning about the golden ratio, and the Fibonacci spiral. The golden ratio, 1:1.61803398875, is a ratio that appears in many famous structures and shapes, as well as in a lot of places in nature. The Fibonacci spiral is a spiral that follows this ratio.

We did a project around aesthetics that involved creating something (a drawing, model, song, etc.) that showed the golden ratio and Fibonacci spiral. I wanted to see if the spiral could help me draw more realistic facial anatomy, so I drew a girl’s head from the side. Then I added in clouds that have the Fibonacci spiral in them, and a sidewalk made of rectangles that adhere to the golden ratio.

This was my write up for the project:

In order to display both the golden ratio and the Fibonacci spiral in my work, I started out by drawing a girl whose head and ear line up with the Fibonacci spiral, then added in background details such as the clouds, which each have three Fibonacci spirals within them, and the grass, which has stripes that demonstrate the golden ratio.

I zoomed in on the screen in order to measure as accurately as possible, and measured the long side of one of the grass stripes to be about 3.4 cm, and the short side to be 2.1. The ratio between these two numbers is approximately equal to the golden ratio (1:1.61803398875). I drew a rectangle around the main Fibonacci spiral in the right cloud, and measured the long side to be 8 cm, and the short side to be 4.9 cm. The ratio between these numbers is also roughly equal to the golden ratio. I drew a rectangle around the Fibonacci spiral lining up with the head and ear of the girl depicted in the drawing, and measured the long side to be 10 Cm and the short side to be 6.2 Cm. The ratio between these two numbers is also approximately equal to the golden ratio.

I think the spiral did successfully help me draw a good-looking drawing using facial anatomy, so I would consider this project successful.

Toodles!