There is a visual resemblence between zoom levels because of the statistical self-similarity across zoom levels. I suppose the word resemblence was chosen by th

There is a visual resemblence between zoom levels because of the statistical self-similarity across zoom levels. I suppose the word resemblence was chosen by the author as a less strict variation of the concept. But even the self-similarity of for instance the convergence border of the Mandelbrot set isn't completely self-same either.