Indeed, and there's a nice list of them here: https://en.wikipedia.org/wiki/List_of_fractals_by_Hausdorff_dimension https://en.wikipedia.org/wiki/List_of_fracta

Indeed, and there's a nice list of them here: https://en.wikipedia.org/wiki/List_of_fractals_by_Hausdorff_dimension https://en.wikipedia.org/wiki/List_of_fractals_by_Hausdorff_... It's also worth noting that there are other ways of "measuring" fractal dimension that do not always agree so it can be informative to also look at e.g. box counting dimension too.