Trying to explain fractional dimensions is probably not conducive to an HN post. but fortunately, 3blue1brown converted this: https://youtu.be/gB9n2gHsHN4 https

Trying to explain fractional dimensions is probably not conducive to an HN post. but fortunately, 3blue1brown converted this: https://youtu.be/gB9n2gHsHN4 https://youtu.be/gB9n2gHsHN4 Which also nicely and conclusively shows why self-similarity is just a special case of things that have fractional dimension.