On the Lower Bound of the HausdorffMeasure of the Koch Curve

Acta Mathematica Sinica (Impact Factor: 0.48). 10/2003; 19(4):715-728. DOI: 10.1007/s10114-003-0310-2


This paper gives a lower bound of the Hausdorff measure of
the Koch curve by means of the mass distribution

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    • "We demonstrate the effectiveness of our algorithm for a synthetic but difficult problem, where the boundary between self and nonself is the well-known Koch curve. The Koch curve is a fractal with a Hausdorff dimensionality of 1.26 [9]. In spite of its deceptively simple shape, the Koch curve has infinite length. "
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