None of the shadows you can physically see in the photos have 0 area because the construction of the fractal isn't perfect. What a perfect construction would look like and if it's ever theoretically possible to make physical are complicated questions. Beyond me for sure, how would an infinitely thin object even interact with light?
I would assume the problem with the idea is in the fractal physics rather than the definition of area, which has been solidly useful for me.
I would assume the problem with the idea is in the fractal physics rather than the definition of area, which has been solidly useful for me.