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Is the straight line the shortest, really? - Printable Version

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Is the straight line the shortest, really? - Xorter - 05/23/2017

Welcome, again!
In my view it is interesting that fractals can behave really strange.
Its arc and area surprisingly differ to each other. According to this fenomena I ask you: Is it possible to create a special, fractal-like absement (integral of distance) curve whose derivative is shorter than a straight line?
In fact, Does it make sense? It way just an idea.