Golden Section
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Have you ever wondered why a profound piece of art is so compositionally pleasing? The artist probably employed the use of the Divine Proportion, which is a phenomenon that suggests that there’s a mathematical equation that’s consistent with the aesthetics of good composition. Let’s examine a brief history of the Divine Proportion and its use over the centuries. Author: Corey Barker Corey is the newest education and curriculum developer for the National Association of Photoshop Professionals. He is a graduate of the Ringling School of Art & Design in Sarasota, Fl, with a degree in Illustration.
Rule of Thirds or Golden Ratio So, the first "golden" rule is the "Rule of Thirds" or "Golden Ratio" . It affects the ratio (1:1.618) of a picture size, as well as the placement of the main subjects in the photo.
The Golden Section is a ratio based on a phi The Golden Section is also known as the Golden Mean, Golden Ratio and Divine Proportion. It is a ratio or proportion defined by the number Phi ( = 1.618033988749895 ... ) and continues today in many examples of art, architecture and design.
A Fibonacci spiral created by drawing circular arcs connecting the opposite corners of squares in the Fibonacci tiling; this one uses squares of sizes 1, 1, 2, 3, 5, 8, 13, 21, and 34. See golden spiral . (sequence A000045 in OEIS ). The Fibonacci sequence is named after Leonardo of Pisa , who was known as Fibonacci. Fibonacci's 1202 book Liber Abaci introduced the sequence to Western European mathematics, [ 2 ] although the sequence had been described earlier in Indian mathematics . [ 3 ] [ 4 ] [ 5 ] (By modern convention, the sequence begins with F 0 = 0. The Liber Abaci began the sequence with F 1 = 1, omitting the initial 0, and the sequence is still written this way by some.)
NOTE IN THE FOLLOWING ILLUSTRATIONS THE WORDS: PHI, GOLDEN SECTION, GOLDEN MEAN, DIVINE PROPORTION AND GOLDEN RECTANGLE are all used to describe the rectangle with a 1.618 ratio or that proportion. To divide a piece of paper into a GOLDEN SECTION you must first draw a square as in 'a/b' (in the illustration the light blue area) divide the line by half 'c' illus. and use a compass to make an arch as in 'b/e' illus. Now by extending the base of the square to point e and squareing the area (the gold area) you get an extended rectangle made from your square. This is a GOLDEN SECTION. The proportions of the gold rectangle are the same as those of the blue /gold rectangle. The above proportion is what you could use for a two page layout.