Definitions for "Golden Ratio"
The ratio of any two consecutive numbers in the Fibonacci Sequence (0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55...). After development of the sequence the ratio between one number and it's preceding number is 1.618 and in the opposite direction is 0.618. These ratios were used by the Egyptians to build pyramids, by the Greeks to build the Parthenon and also occur in nature.
See Golden Rectangle.
the rule devised to give proportions of height to width when laying out text and illustrations to produce the most optically pleasing result.
Keywords:  sqrt
(1+Sqrt[5])/2.