uselessness and reesetee: I don't understand how you can refer to von Smarty Pants as being male, when elsewhere on Wordie we are given information which clearly indicates the perfessor was born female. See discussion under Professor von Schmartzenpanz.
If the order-chaos balance is tipped somewhat towards the ordered side, I propose "ordotic". It's like the difference between a meat and potato pie, and a potato and meat one. (Believe me, there is a difference. :)
Also, I wouldn't equate either word to neutral, quite; they potentially have similar meanings, but having properties of both chaos and order doesn't necessarily mean that the chaos-to-order ratio is equal. (Also, "neutral" implies, at least to my mind, a somewhat benign and passive state, whereas I see both "chaordic" and "ordotic" as very active words, ones that emphasize the presence rather than absence of both properties.)
Think of a computer physics model. You could have a complex system with many independent particles interacting with one another, and the effect would appear very chaotic. Yet every particle is precisely calculated according to predetermined rules and algorithms. The position of any given particle at any given time could (theoretically) be figured out with a pencil and paper and a lot of patience.
Ultimately, it applies to the physical world too; there are zillions of subatomic bits flying around the universe at insane rates of speed. Protons, neutrons, electrons. It's utter chaos. But every one of those little bits is subject to the laws of physics, and is therefore in perfect order. All we need to understand is the way those laws work, and the universe can be predicted. The most chaotic system is not chaotic at all, and the very concept of chaos is irrelevant.