I have constructed a [custom-user-tool] of EucliDraw (see the user-tools script KochFractal.txt), allowing the construction of an arbitrary similar fractal, based on an initial arbitrary polygon p(0), and an arbitrary polygonal line q, replacing, by similarity, each side of p(0) with q. The tool can be applied again to the resulting polygon p(1). Continuing in this way one can obtain polygons p(2), p(3), ..., p(n), representing fairly complicated fractal curves. Constructing the fractals with this tool reduces the memory waste by a factor of 6, but the responsiveness to dynamic changes remains still quite poor. An example is given in Koch.html .

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