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A mathematically ideal wire (0 diameter) is a one dimensional object. However it can be imbedded in higher dimensional space forming very complex knots, as long as it never intersects itself. If a mathematically ideal wire forms a fractal then it has a fractional dimension (e.g. if the fractal is in a two dimensional plane then the dimension of the wire will be a fraction between one and two).

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How many dimension of thin wire?

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