You automatically get exponential, recursive and hyperbolic behavior when your predictions are recycled. On paper there is very little middle ground between rote repetition and a spiritual peak experience. This is probably why consciousness emerges.

The dimensionality isn't 2 or 3 dimensional. Value systems may have such dual or triune symmetry. The dimensionality is IIRC said to be nominally 1000. I would wager the average is the same as the number of muscles in the human body.