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AD101 Design, Culture & Theory

AD101 Design, Culture & Theory. The Golden Ratio. Golden Ratio.

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AD101 Design, Culture & Theory

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  1. AD101Design, Culture & Theory The Golden Ratio

  2. Golden Ratio The Golden Ratio, also known as the Golden Mean, the Golden Section or the divine proportion, is the proportional relation between two divisions of line or two dimension of a plane figure. That is, the ratio of the line segments that result when a line is divided in one very special & unique way.

  3. Golden Ratio Represented by the Greek letter Phi , it is one of those mysterious natural numbers like Pi (=3.14159…) that seem to arise out of the basic structure of our cosmos. Unlike those abstract numbers, however, Phi appears clearly & regularly in the real of things that grow and unfold in steps, & that includes living things. The decimal representation of phi is 1.6180339887499…..

  4. Golden Ratio Divide a line so that: The ratio of the length of the entire line (A) to the length of the larger line segment (B) is the same as the ratio of the length of the smaller line segment (C ). This only happens at the point where: A is 1.618… times B and B is 1.618… times C.

  5. Golden Ratio • What makes the Golden Ratio even more unusual is that it can be derived in many ways & shows up in relationships throughout the universe. • The Golden Ratio can be derived through: • A numerical series discovered by Leonardo Fibonacci • Mathematics • Geometry

  6. Golden Ratio • The Golden Ratio appears in: • The proportions of the human body • Plants • DNA • The solar system • Art & architecture • Music • The stock market

  7. Fibonacci Sequence The Golden Ratio can be linked with the Fibonacci sequence: 1,1,2,3,5,8,13,21,34,55….. The ratio between the consecutive numbers in a Fibonacci sequence approximates the Golden Ratio with increasing precision as the series progresses. Eg 1/1=1, 2/1=2, 3/2=1.5, 5/3=1.6666…, 8/5=1.6 13/8=1.625, 21/13=1.61538…, 34/21=1.61904…, 55/34=1.61764…

  8. Golden Rectangle The golden rectangle is one whose side lengths are in the golden ratio approximately 1:1.618. A distinctive feature of this shape is when a square section is removed, the remainder is another golden rectangle.

  9. Golden Rectangle The Golden Rectangle can be created by plotting the numbers of the Fibonacci Sequence

  10. Golden Spiral The Golden Spiral can be created by plotting arcs connecting the opposite corners of the squares of a golden rectangle.

  11. Exercise You are to investigate 3D design by constructing a box with internal dividers positioned according to the proportions of the Golden Ratio. The surface of the internal dividers & external walls are to demonstrate: texture, colour, type (word or phrase) & pattern. Photograph results and write a reflective paragraph in visual diary.

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