What are fractals?.

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Presentation transcript:

What are fractals?

What are fractals? Romanesco

What are fractals?

What are fractals?

What are fractals?

What are fractals?

What are fractals?

What are fractals? Golden ratio = 1.61803398875

How to create a Koch snowflake:

Fractal dimension? Point = 0-D Line = 1-D Area = 2-D Volume 3-D 1.26

D = log(4)/log(3) = 1.26 Four identical line segments that are each 1/3 long, the dimension is log 4 / log 3, which is approximately 1.26.

1990. Sugihara, G., and R.M. May. Applications of fractals in ecology. Trends in Ecol. and Evol. 5(3): 79-86.