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golden ratio

(a+b)/a=a/b

golden ratio

x²-x-1=0

1/2+ √5/2

1,61803399...

Phi

nature

nature

human beings

1,1,2,3,5,8,13,21,34,55,89,...

fibonacci

1/1=1,000

2/1=2,000

3/2=1,500

5/3=1,666

...

89/55=1,618

...

-> Phi

characteristics

usage

advertisement

technology

health service

construction

fractals

  • self- similar
  • fractal dimension

fractals

nature

mathematics

x²+1=0?

i²=-1

complex numbers

z0=0

• f(z1) = (z0)²+c

• f(z2) = (z1)²+c

• f(z3) = (z2)²+c

iterations

Julia set

usage

  • aerials

technology

  • sight pattern of the eyes

  • fight cancer quickly

health service

  • how much carbon dioxide does a forest absorb?

climate change

construction

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