Since a 3-D object can only contain as much information as can be encoded on its surface, then, I predict that the brain is fractal, when you get down to the surface area.
Why Richard Powers and Lewis Thomas Are Must-Reads
When did you realize you were a machine? A fancy machine, for sure. But one whose parts and operations can be described like the components… — Read on nautil.us/issue/66/clockwork/we-are-all-bewildered-machines