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In the most classical meaning, "fractal" stands for "an object with a fractional fractal dimension". Since there is a clear cut on the level of details, the fra
by sklogic 11y ago
In the most classical meaning, "fractal" stands for "an object with a fractional fractal dimension". Since there is a clear cut on the level of details, the fractal dimension of this image is integer (i.e., precisely 2).
Nevertheless, it's totally cool!
- leni536 11y agoJust for nitpicking, there are "fractals" with integer fractal dimension. Example: https://en.wikipedia.org/wiki/Dragon_curve https://en.wikipedia.org/wiki/Dragon_curve
- sklogic 11y agoThe boundary of the dragon curve got a fractional dimension, therefore it qualifies.
- evanpw 11y agoI don't think there's much agreement about the exact, formal definition of fractal, but "Hausdorff dimension greater than the topological dimension" is probably a better one than "Hausdorff dimension is not an integer". Otherwise, not even the boundary of the Mandelbrot set is a fractal! (It has Hausdorff dimension 2).