Fractals: a Math of Art

Mandelbrot, the father of fractal geometry once said:

clouds are not spheres,
mountains are not cones,
coastlines are not circles,
and bark is not smooth,
nor does lightning travel in a straight line ...

Do you agree?

What is this quotation saying?


What do clouds, mountains, coastlines, bark and lightning have in common?

Rough, natural

What do spheres, cones, circles, and straight lines have in common?

Euclidean, man-made


What are some concise ways to describe a circle?

Center and radius, formula in x, y, and r.

What are some concise ways to describe a mountain?


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