The “Golden Ratio”, or , has the value
This number gets its rather illustrious name from the fact that the Greeks thought that a rectangle with ratio of side lengths equal to was the most pleasing to the eye, and much of classical Greek architecture is based on this premise. In , an aesthetically pleasing aspect of a rectangle with this ratio, from a mathematical viewpoint, is that if we embed and remove a square in the below diagram, the remaining rectangle also has a width-to-length ratio of .
Above: The golden rectangle; .
has plenty of interesting mathematical , however. Its value is exactly
and so on. These give us
|Date of creation||2013-03-22 11:56:02|
|Last modified on||2013-03-22 11:56:02|
|Last modified by||Mathprof (13753)|