Deborah Harrell wrote:
>
> A connected article from this one, about the
> 'holographic universe' [on page 2], reports that
> "information capacity depends on surface area."  
>
This is nice, but it's an _approximation_. The surface
of the brain is not a mathematical surface, because
it's made of dots - the cells. In a macroscopic
approximation, the surface of the brain can be
considered a fractal surface, and fractals have the
amazing property that a finite volume can contain
a surface of infinite area.

Rigorously, the analogy of area and volume [resp.
2D and 3D measures of size] when applied to
fractals are things with (n)-D, where 2 < n < 3.

Getting back to approximations, it's something like 
"the surface of my brain measures 0.014 meters^(5/2)"

Alberto Monteiro


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