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 Also known as The
  Golden Mean, φ
  (Phi), The Golden
  Proportion
 Named after Phidias, a
  greek sculptor that used
  the golden ratio in his
  sculptures.
 Phi ≈ 1.618
 Equation:
  (a + b)/a = a/b ≈ 1.618
 If you look at the
  sequence of fibonacci
  numbers:
  1, 1, 2, 3, 5, 8, 13, 21, 34

  you will find that
  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...
 Resulting, as the numbers
  settle, into the value called
  the Golden Ratio which is
  approximately 1.618
(history of the golden
rectangle and the golden
ratio)
   Draw a square.

   Extend two parallel sides.

    Draw a line from the
    midpoint of one side of the
    square to the opposite
    corner.

    Using the line you just drew
    as a radius, draw an arc
    between the twoparallel
    lines.
    Draw a perpendicular
    line from between the
    parallel lines from the
    intersection of the arc on
    the bottom line.

 You now have a golden
    rectangle!
 Also Known as a
  Fibbonacci Spiral
Golden rectangle
Golden rectangle
Golden rectangle
Golden rectangle
Golden rectangle

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Golden rectangle

  • 1.
  • 2.  Also known as The Golden Mean, φ (Phi), The Golden Proportion  Named after Phidias, a greek sculptor that used the golden ratio in his sculptures.  Phi ≈ 1.618
  • 3.  Equation: (a + b)/a = a/b ≈ 1.618
  • 4.  If you look at the sequence of fibonacci numbers: 1, 1, 2, 3, 5, 8, 13, 21, 34 you will find that 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...
  • 5.  Resulting, as the numbers settle, into the value called the Golden Ratio which is approximately 1.618
  • 6. (history of the golden rectangle and the golden ratio)
  • 7. Draw a square.  Extend two parallel sides.  Draw a line from the midpoint of one side of the square to the opposite corner.  Using the line you just drew as a radius, draw an arc between the twoparallel lines.
  • 8. Draw a perpendicular line from between the parallel lines from the intersection of the arc on the bottom line.  You now have a golden rectangle!
  • 9.  Also Known as a Fibbonacci Spiral