Like zeno's paradox, fractals seem to defy normal reason, an infinity of ever increasing smallness!
What is this infinity...?
Could it be that the Infinite is another of our expressions for the unknowable?
Do we experience it at the point of the passing of things from one dimensional set to another, different, dimensional set?
Appearing as they do to either return to whence they came or to journey on?
Things appearing from the intangible as tangible and then disappearing back to another intangible?
Passing from 'something' to what appears to us to be 'nothing'?
Perhaps in never ending cycles of appearances and disappearances?
Maybe, unless it is perhaps all a great recycling with an evolutory incline?
Could it be that two dimensions, having no apparent substance, are in no way similar to three?
Perhaps the rules for two dimensions are different to what we think they are, and ought not to be interpreted as a special case of three?