What is so interesting about the Golden ratio?

As an example, the most "beautiful" smiles are those in which central incisors are 1.618 wider than the lateral incisors, which are 1.618 wider than canines, and so on. read more

There is one unique point, however, at which the ratio of the large piece to the smaller piece is exactly the same as the ratio of the whole string to the larger piece, and at this point this Golden Ratio of both is 1.618 to 1, or Phi. read more

When this is connected to an angled side of the pyramid, you can easily see how it forms Golden Triangle with a 1.62 ratio, the Golden Ratio. Other examples are Taj Mahal- Agra, India, Notre Dame- Paris, France, UN Building, New York. read more

So basically, the golden ratio / fibonacci shows up frequently because its a very basic recursive geometrical algorithm that describes the simple case of how the placement / size of each subsequent item is the result of the sum of the previous two placements / sizes. read more