The "Golden Ratio..."
At least since the Renaissance, many artists and architects have proportioned
their works to approximate the golden ratio—especially in the form of the golden
rectangle, in which the ratio of the longer side to the shorter is the golden ratio—
believing this proportion to be aesthetically pleasing. Mathematicians have
studied the golden ratio because of its unique and interesting properties.
The golden ratio can be expressed as a mathematical constant, usually
denoted by the Greek letter (phi). The figure of a golden section illustrates the
geometric relationship that defines this constant. Expressed algebraically:
The proportions of different plant components (numbers of leaves to branches,
diameters of geometrical figures inside flowers) are often showing the golden
ratio proportion in several species.
ISO 7810 cards such as Visa or MasterCard have an aspect ratio of 1.586,
which is only 2% smaller than the golden ratio.
A rectangle that is one mile long by one kilometer wide is within 1% of a golden
rectangle, with a mile being exactly 1.609344 km.
The "Golden Ratio" and how it relates to my paintings
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Studio Q & A