art, architecture, and music
It is pleasing to the human eye.
In italy, the Pantheon, however has the golden ratio. Its pillars below the roof is a rectangle, the golden rectangle, on the roof (top part) is a triangle, the golden triangle.
It has been found to be aesthetically pleasing - in art, architecture etc
The golden ratio = 1.8618033969... It is used in art, architechture and music. In the related links box below I posted a link showing the uses of the golden ratio.
A great many things have the golden ratio in them varying from things fabricated by humans such as architecture, the proportions of the sides of a book also fall into the golden ratio. The golden ratio also occurs naturally for example the spiral in the snail's shell falls into the golden ratio. Generally most man made things have the golden ratio in them as it has been found quite simply, to look good.
Because it is an unusual ratio and therefore should be given a different name to differentiate it from other common ratios. Gold is valuable and "Golden" is attributed to that which is attractive. The "Golden Ration" is considered attractive and has many uses.
The common belief is that the Greeks used the golden ratio (~1.618) for the relation between a building's length and its height. Mario Livio, who wrote a book on the golden ratio, claims that these ratios are actually somewhere between 1.4 and 2.0, so that may have been a myth.
Vitruvia Man is a famous ink drawing by Leonardo DaVinci.In it, DaVinci uses the golden ratio several times to make the proportions of the male figure.
The numbers for the golden ratio are 1.618
The golden ratio is a pure number and so has no dimensions.The golden ratio is a pure number and so has no dimensions.The golden ratio is a pure number and so has no dimensions.The golden ratio is a pure number and so has no dimensions.