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How can you Approximate the fractal dimension of a fractal by looking at it?

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Relevant answers:

Do fractals have fractional dimensions?
Yes.
What is a ''Fractal''?
A fractal is a rough or fragmented geometric shape that can be split into parts, each of which is (at least approximately) a reduced-size copy of the whole (self similar).The term "fractal" was...
As a fractal the Sierpinski Gasket has fractional dimension?
true
As a fractal the Mandelbrot Set has fractional dimension?
true
What is a fractal?
A fractal by definition is actually a curve that has infinite length, like the Koch snowflake and Cantor set, to name a few.