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What are fractals?

What are fractals?

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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 - PowerPoint PPT Presentation

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Page 1: What are fractals?

What are fractals?

Page 2: What are fractals?

What are fractals?

Romanesco

Page 3: What are fractals?

What are fractals?

Page 4: What are fractals?

What are fractals?

Page 5: What are fractals?

What are fractals?

Page 6: What are fractals?

What are fractals?

Page 7: What are fractals?

What are fractals?

Page 8: What are fractals?

What are fractals?

Golden ratio = 1.61803398875

Page 9: What are fractals?

How to create a Koch snowflake:

Page 10: What are fractals?
Page 11: What are fractals?
Page 12: What are fractals?
Page 13: What are fractals?

Fractal dimension?

-Point = 0-D

-Line = 1-D

-Area = 2-D

-Volume 3-D

1.26

Page 14: What are fractals?

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

D = log(4)/log(3) = 1.26

Page 15: What are fractals?

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