The Golden Ratio And The Fibonacci Numbers
The Golden Ratio is often denoted by the Greek letter phi: φ. Its exact value is 1+52 which is approximately equal to 1.618.
In this chapter, we saw how successive quotients of the Fibonacci Numbers get closer and closer to the Golden Ratio:
11=1, 21=2, 32=1.5, 53=1.67, 85=1.6, 138=1.625, 2113=1.615, …
Many people believe that the Golden Ratio, Golden Rectangles, and the Fibonacci Numbers “appear” in the real world in places such as:
Art
Architecture
Nature
Please research at least one example of such an “appearance” in art, architecture, nature, or someplace else in the real world and post your findings.
Sample Answer
The Mona Lisa by Leonardo da Vinci is one of the most famous paintings in the world. It is believed that da Vinci used the golden ratio in the composition of the painting, specifically in the placement of the subject’s eyes, nose, and mouth.
If we divide the painting in half vertically, the golden ratio is found at the point where the eyes are located. This creates a sense of balance and harmony in the painting. The nose is also located at the golden ratio, dividing the upper and lower parts of the face in a visually pleasing way. The mouth is slightly lower than the golden ratio, which helps to create a sense of mystery and intrigue.