OK I concede it meets a definition of fractal. I'm recalling having seen Mandelbrot speak at my high school and identify a property of his eponymous set in part

OK I concede it meets a definition of fractal. I'm recalling having seen Mandelbrot speak at my high school and identify a property of his eponymous set in particular: that no matter how closely you zoom, no part of it ever appears to be a straight line, unlike, for instance, a circle. I just feel cheated. But sure, it's a fractal capped at a disappointingly low number of iterations. Kinda like how an equilateral triangle is a sierpinski's gasket at zero iterations.