Box-Counting Dimension of the Koch curve

From the relation N((1/3)ⁿ) = 3*4^n-1 we can compute the exact value of d_b for the gasket.

db	= limrn->0Log(N(rn)) / Log(1/rn)
	= limn->infinityLog(N(rn)) / Log(1/rn)
	= limn->infinityLog(N((1/3)n)) / Log(1/((1/3)n))
	= limn->infinityLog(3*4n-1) / Log(3n)
	= limn->infinity((n-1)Log(4) + Log(3)) / (nLog(3))
	= limn->infinity(nLog(4) - Log(4) + Log(3)) / (nLog(3))
	= limn->infinity(nLog(4))/(nLog(3)) + (-Log(4) + Log(3))/(nLog(3))
	= Log(4)/Log(3) = 1.26186 ...

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