In this article, it explains the background of Leonardo of Pisa aka Fibonacci who is best known as the mathematician who enlightened us with the Fibonacci sequence of numbers. He first came upon this sequence when studying the pattern of rabbit breeding. Read more about the background of this famous mathematician and about the Fibonacci sequence.
Using squares with the side length of Fibonacci numbers create a spiral. For example, the smallest of the first two squares have a length and width of 1. Then the next square has a side length of 2, and the square adjacent to those has a side length of 3, and so on.
This video explains how spirals are formed using Fibonacci numbers and how plants are a great example of the Fibonacci sequence. The person in the video uses markers and tape to count the plant spirals and shows a better depiction of the sequence than just seeing it in a picture. Be sure to catch the second part of the series where she does something similar with angles!
Almost anything that has a spiral pattern that begins smaller and widens as it spirals out follows the Fibonacci Sequence, like this seashell.
This blogger looked took the Fibonacci Sequence and superimposed it on different parts of the world map. I find that some of these were a stretch, although I did find the Africa one intriguing.
In this video, Mr. Benjamin shows the beauty of the patterns within the Fibonacci Sequence. Pay particular attention to the 5:18 mark where he talks about how the Golden Ratio is connected to the Fibonacci Sequence. If you take any term from the sequence and divide it by its previous term, you will get the approximate value of the Golden Ratio, which is 1.618... We use the Greek symbol "phi" to represent this ratio (not to be mistaken for one of the other well-known Greek symbols Pi 3.14...)
This video talks about how someone can be considered more attractive if their body proportions follow the Golden Ratio. An example of one of the body proportions is: the length of your mouth divided by the length of the bottom of your nose should be close to 1.618. The closer your proportions are to 1.618, the more attractive you are? Hmm...
The Golden Ratio can be used found in any type of design from architecture to art. This article focuses on using the Golden Ratio to create and edit images within graphic design.