Box-Counting Dimension
Practice Problem 4 Answer
From the relation
N(1/3
n
) = 6
n
, we compute the box-counting dimension
d
b
= lim
n→∞
Log(N(1/3
n
))/Log(1/(1/3
n
))
= lim
n→∞
Log(6
n
)/Log(3
n
)
= lim
n→∞
(n⋅Log(6))/(n⋅Log(3))
= Log(6)/Log(3) ≈ 1.63093.
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Practice Problem 4 Answer
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