Computability of Koch Curve and Koch Island
نویسندگان
چکیده
Koch curve is known as a typical self-similar set on Euclidean plane. Koch island is a closed set surrounded by three copies of Koch curve. We investigate them from the viewpoint of computability. In this paper, we define computability of a curve and that of a closed set as an application of classical computable analisys to Euclidean spaces and show that Koch curve is a computable curve and both Koch curve and Koch island are computable closed sets.
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