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Golden Ratio

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Golden Ratio Aka Golden rectangle, Divine ratio Beautiful? Handsome? Stunning? Fibonacci s sequence Start with 1,1 . Ratio of a number with its predecessor ... – PowerPoint PPT presentation

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Title: Golden Ratio


1
Golden Ratio
  • Aka Golden rectangle,
  • Divine ratio

2
Beautiful?
3
Handsome?
4
Stunning?
5
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6
Fibonaccis sequence
  • Start with 1,1.
  • Ratio of a number with its predecessor
  • Approaches 1.618..
  • Known as Phi
  • Ratio of a number with its next higher?
  • Curiously comes out as reciprocal of Phi!!
  • So What!!!!

7
Next step Geometry(but this is anatomy class!)
  • Make a square, any size.
  • Bisect it ( find the middle of one side)
  • (pt A)
  • From that point make a diagonal line to a corner
    ( pt B)
  • Measure AB
  • From pt A, add distance AB to square
  • Extend sides to make square into new rectangle
  • Calculate ratio of new rectangle sides, what do
    you find?

8
  • Calculate ratio of new rectangle sides, what do
    you find?
  • Golden Rectangle!!!!!
  • So What..

9
Crop circles
10
Art
11
Insect bodies
12
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13
Golden Spiral
14
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15
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17
0.618 turn equals 222.5 degrees
18
Whats this?
19
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20
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21
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