The Golden Ratio
Chapter 3 Project
About Phi (Φ), the Golden Ratio
The Golden Ratio, the Beautifully Irrational Number
The Golden Ratio has been used a lot on art and architecture. Some people say that the Golden Ratio makes the most pleasing rectangle shape. Think of the Mona Lisa - and the Golden Ratio, which might be another cause of the painting being so impressive.
The actual Golden Ratio is 1.61803398874989484820..., but we often round it to 1.6
In the Golden Ratio, the rule a+b is to a as a is to b means that the longer part divided by the smaller part also equals to the whole length divided by the longer part.
The Golden Ratio in a Simple Aquarium
Above, for the frame, my length is 25.7 cm's and the width is 15.8 . And 25.7 / 15.8 = 1.6
I can prove this: take the number 8 for instance. 1 * 8 is obviously 8 - now I multiply 1.6 * 8, the same thing, and I get 12.8 . So to see if it's really the Golden Ratio I simply do the operation 12.8 divided by 8 = 1.6 - I got the Golden Ratio.