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.

A ratio of approximately 1.618 to 1.

The ratio of depth, width, and height based on the Greek Golden Rectangle. Often applied to speaker boxes or listening room design. The Ratio: W = 1.0, Depth = 0.618W, Height = 1.618W. The ratio of depth, width, and height based on the Greek Golden Rectangle. Often applied to speaker boxes or listening room design. The Ratio: W = 1.0, Depth = 0.618W, Height = 1.618W.

The golden ratio is (1 + square root of 5)/2 = 1.61803399... Many people say that a rectangle with the height to width ratio being the golden ratio is a pleasing shape.

Generally represented as phi. Given a rectangle having sides in the ratio 1:phi, partitioning the original rectangle into a square and new rectangle results in the new rectangle having sides with the ratio 1:phi. phi is approximately equal to 1.618.

The golden ratio, usually denoted \varphi ('phi'), expresses the relationship that the sum of two quantities is to the larger quantity as the larger is to the smaller.