[pcmaffey]

So then it's not really able to define infinite space so much as infinitesimal space. Going from 1 to 0.

On a side note, the Hilbert Curve pattern quite resembles the folds of a brain. Which makes me wonder about the attributes such a pattern would lend our brains:

1) the ability to hold fixed points in space relative to each other while increasing information density between those points, and

2) our ability to stand on the edge of space (reality), and look / measure inward (1 to zero), without seeing infinity looming behind us.