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Golden Ratio

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Golden Ratio

王柏雄B9202003何宗祐B9202010

吳士皓B9202015俞錫全B9202036

- The golden number 1.618……
- One way to find Phi is to consider the solutions to the equation
- x = (1+√5)/2 ~ 1.618... or x=(1-√5)/2 ~ -.618...
- and 1.618……is the golden number

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

Phi = or Phi =

- 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.

- 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

- 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.

- 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).

Golden Ratio and Investment

0.191,0.382,0.5,0.618,0.809

Elliot’s Waves theory

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

The battle line

The compose of an army

Time

Rate of destruction

- 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!!!

- The ratio of the maple leaf’s width to it’s vein
- The ratio of upper wings’ length to the lower one
- They are all fit golden ratio

- 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.

Thank you for your kind attention!