Golden Section

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Illustrator: Golden Section - Layers Magazine | Layers Magazine

http://layersmagazine.com/illustrator-design-goldensection.html 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.

Golden Section and Rule of Thirds (Golden Mean, Golden Ratio, Golden Spiral, Golden Proportion, Golden Triangles).

http://photoinf.com/Golden_Mean/Eugene_Ilchenko/GoldenSection.html
http://www.goldennumber.net/goldsect.htm 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.

The Golden Section, Golden Ratio or Divine Proportion based on Phi, 1.618: Constructions and Applications

Fibonacci number - Wikipedia, the free encyclopedia

http://en.wikipedia.org/wiki/Fibonacci_number 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.)

GOLDEN SECTION

http://www.cyberspaceorbit.com/ironhart/goldensec.html 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.