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You know the weirdest shit about fractals is that if the fractal is space filling (you repeated the pattern at all scales for infinity and end up filling a 2d area with lines somehow than that fractal exists between the integers definitions of dimensions). A 1d simple line fractal pattern can through the bullshit magic of math have a dimensionality of 1.65 or whatever, it is weird shit.
I am sure I got something wayyyy wrong about this lol, but whatever.