Golden Ratio

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Golden Ratio

• ???B9202003 ???B9202010
• ???B9202015 ???B9202036

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Phi

• The golden number 1.618
• One way to find Phi is to consider the solutions
  to the equation
• x (1v5)/2 1.618... or x(1-v5)/2 -.618...
• and 1.618is the golden number

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• We consider the first root to be Phi. We can also
  express Phi by the following two series

Phi                                           
             or Phi                           
          
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Golden Rectangle

• When we draw a rectangle that has sides A and B
  that are in proportion to the Golden Ratio
• Golden rectangle.
• Golden Rectangle
• most pleasing rectangle to the eye.

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• Assume that rectangle ABCD is a Golden Rectangle.
  Hence, AD/AB AE/ED
• But, FE AE, and so FE/ED Phi
• Hence, rectangle FCDE is a Golden Rectangle

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• If we connect the vertices of the regular
  pentagon, we can get two different Golden
  Triangles.
• The blue and red one are all golden triangle.

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• If we take the isosceles triangle that has the
  two base angles of 72 degrees and we bisect one
  of the base angles, we should see that we get
  another Golden triangle that is similar to the
  first (Figure 1).
• we can get a set of Whirling Triangles (Figure
  2).

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Golden Ratio and Investment

• 0.191,0.382,0.5,0.618,0.809
• Elliots Waves theory

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Above data can just be used for reference, the
risk you have to take on your own if you invest
in this way.
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The Use of Golden Section Number in War

• Strong and mysterious
• By chance or bound to ?
• Coincidence or regular pattern?

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• The battle line
• The compose of an army
• Time
• Rate of destruction

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AMAZING
                              

• If we draw a line from the center A to the edge
  E, it will intersect with B, C, D
• Then we can find that
• And it fit golden ratio!!!

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• The ratio of the maple leafs width to its vein
• The ratio of upper wings length to the lower one
  
• They are all fit golden ratio

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Are u a model?

• Length from head to belly button x
• Length from belly button to the ground y
• If y/x 1.618
• Congratulation!!! You can be a model.

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• Thank you for your kind attention!