>It seems there is no clear definition of "Fractal" to begin with.
Yes there is: A fractal is a set for which the Hausdorff Besicovitch
dimension strictly exceeds the topological dimension.
(topological dimension means Lebesgue covering dimension)
For example: Mandelbrot set boundary has Hausdorff dimension 2 and topological dimension 1.
Yes there is: A fractal is a set for which the Hausdorff Besicovitch dimension strictly exceeds the topological dimension. (topological dimension means Lebesgue covering dimension)
For example: Mandelbrot set boundary has Hausdorff dimension 2 and topological dimension 1.