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An estimation of the Hausdorff measure of the Koch curve. (Chinese. English summary) Zbl 0966.28006
The following theorem is proved in this note:
Theorem. Let $$K$$ be the Koch curve. Then for its Hausdorff measure the estimation $H^s(K)< {4^4\over 122} \Biggl[{\sqrt{876}\over 81}\Biggr]^s$ with $$s= \log_34$$ holds.
Reviewer: Su Weiyi (Nanjing)
##### MSC:
 28A78 Hausdorff and packing measures 28A80 Fractals
##### Keywords:
Koch curve; Hausdorff measure