The Presence of the Golden Ratio

In infamous Golden Ratio has been seen in everything from art, to nature, to even the proportions of human beings. It has continued to astound artists, scientist, and mathematicians for centuries.

Simply put, the Golden Ratio is a special number found by dividing a line into two parts so that the longer part divided by the smaller part is also equal to the whole length divided by the longer part.

The unique properties of the Golden Rectangle provides another example. The Golden rectangle is one in which the ratio of the sides a/b is equal to the golden mean (also referred to by the Greeks as phi), can result in a repeating process that can be repeated into infinity — and also takes on the form of a spiral. It is the most common form of the Golden Ratio in nature.

Countless examples around us are in the proportion of the Golden Ratio.

Some of the most interesting and unique examples of the Golden Ratio which cause us to think that things being in the Golden Ratio are not merely a coincidence are shown below:

The Nautilus Shell:

The Nautilus Shell follows the "logarithmic spiral", also known as the result of the proportion of the Golden Rectangle. 

Galaxies:

The Milky Way galaxy contains several "spiral arms", each of them a logarithmic spiral and containing the proportions of the Golden Ratio.

Art:

In Leonardo Da Vinci's "The Last Supper", the presence of the Golden Ratio is found more than once. The dimensions of the room, the table, and even the ornamental shields in the painting all follow the proportions of the Golden Ratio.

 -RO5