The taming of a monster: a parametrization of the von Koch Curve

Hans Sagan · International Journal of Mathematical Education in Science and Technology · 1994

Following a brief historical introduction, the iterated function system, consisting of four similarity transformations, that has the von Koch curve as invariant attractor set, is utilized to parametrize that curve with the parameter in quaternary form. The resulting parameter representation lends itself readily to evaluation by computer.

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