Draw two iterations of peano curve and determine dimension

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Question: The Peano curve starts with an initial line segment and is expanded iteratively with a simple rule. For each step in the construction, all line segments are replaced with a curve of nine smaller line segments. Each of the smaller line segments is one-third the length of the line segments from the previous step. There will also be eight 90-degree turns between each of the new smaller line segments. This curve has a very interesting property: it is a space-filling curve.

- Draw two iterations of the Peano curve and determine its dimension. Is it a fractal? Discuss.

Reference no: EM131468568

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