Drexel - Arch 191 - Golden Means & Proportion - The Golden Ratio in nature in architecture in painting in graphic design in photography The Golden

# Drexel - Arch 191 - Golden Means & Proportion - The...

This preview shows page 1 - 5 out of 11 pages.

The Golden Ratio …in nature, in architecture, in painting, in graphic design, in photography
The Golden Ratio The golden ratio is a special number approximately equal to 1.6180339887498948482. We use the Greek letter Phi to refer to this ratio. Like Pi, the digits of the Golden Ratio go on forever without repeating. It is often better to use its exact value: 1 + sqrt{5} ------------ 2
A golden rectangle (in pink) with longer side a and shorter side b , when placed adjacent to a square with sides of length a , will produce a similar golden rectangle with longer side a + b and shorter side a . In geometry, a golden rectangle is a rectangle whose side lengths are in the golden ratio, , which is (the Greek letter phi ), where is approximately 1.618. A method to construct a golden rectangle. The square is outlined in red. The resulting dimensions are in the golden ratio. Three golden rectangles in an icosahedron The golden rectangle R, constructed by the Greeks, has the property that when a square is removed a smaller rectangle of the same shape remains. Thus a smaller square can be removed, and so on, with a spiral pattern resulting. The Golden Rectangle
According to astrophysicist and mathematics popularizer Mario Livio, “ many artists and architects have been fascinated by the presumption that the golden rectangle is considered aesthetically pleasing.

#### You've reached the end of your free preview.

Want to read all 11 pages?

• Winter '17
• Architecture, Fibonacci number, Golden ratio, Luca Pacioli
Stuck? We have tutors online 24/7 who can help you get unstuck.
Ask Expert Tutors You can ask You can ask You can ask (will expire )
Answers in as fast as 15 minutes