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GOLDEN MEAN AUKSO PJŪVIS. Definition of the Golden Rectangle The Golden Rectangle is a rectangle that can be split into a square and a rectangle similar.

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Presentation on theme: "GOLDEN MEAN AUKSO PJŪVIS. Definition of the Golden Rectangle The Golden Rectangle is a rectangle that can be split into a square and a rectangle similar."— Presentation transcript:

1 GOLDEN MEAN AUKSO PJŪVIS

2 Definition of the Golden Rectangle The Golden Rectangle is a rectangle that can be split into a square and a rectangle similar to the original. The sum of a and b over a is equal to a over b.

3 Definition of the Golden Ratio The Golden Ratio is the ratio of the length of a Golden Rectangle to the width The Golden Ratio is the sum of a and b over a.

4 Golden Ratio If you divide a line into two parts so that: the longer part divided by the smaller part is also equal to the whole length divided by the longer part then you will have the golden ratio. The golden ratio (symbol is the Greek letter "phi" shown in the left) is a special number approximately equal to 1.618. It appears many times in geometry, art, architecture and other areas. http://www.mathsisfun.com/numbers/golden-ratio.html

5 Life and the Golden Ratio The Divine Proportion in the Body http://www.goldennumber.net/human-body/

6 The Golden Ratio used by mankind for centuries Egyptians used in in the design of the pyramids:

7 Golden Ratio Many buildings and artworks have the Golden Ratio in them Parthenon in Greece

8 The Renaissance artists knew it as the Devine Proportion

9 Tahjmahal Various Golden Rectangles are found overlapping in the Tahjmahal http://bondi-golden-ratio-project.wikispaces.com/Topic+1

10 Examples of the Golden Ratio in Nature http://io9.com/5985588/15-uncanny-examples-of-the-golden-ratio-in-nature

11 Fibonacci numbers In mathematics, the Fibonacci numbers or Fibonacci series or Fibonacci sequence are the numbers in the following integer sequence: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, … By definition, the first two numbers in the Fibonacci sequence are 0 and 1, and each subsequent number is the sum of the previous two. http://io9.com/5768696/the-fibonacci-series- when-math-turns-golden


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