So ... I've been programming a lot in NetLogo and so forth, and I've thought about the inherent differences between 2D models and 3D models (or even higher dimensions). But I haven't thought about it very deeply, and I haven't formally investigated how the properties of, say, clusters of self-organizing agents behave in a 2D environment vs. a 3D environment.
So the other day someone asked me: what are the issues, what are the differences? Fundamental or superficial? Offhand, I sort of assumed the relationship between different simulation spaces would be pretty much the same in both 2D and 3D. Sure, I assumed there would be a scaling issue, but not much else. (e.g., a 2D pred-prey model would show different numbers than a 3D pred-prey model, but the dynamics would be essentially the same.) Is this true? Anyone ever investigate this question? Know of some good papers out there? Other resources? I'm not assuming an infinite space, if that makes a difference ... in a 2D environment I assume a torus, and imagine if I programed a 3D simulation I would use similar assumptions. Any guidance would be greatly appreciated! I have a presentation on Friday, and I would like to be able to cover this issue. Thanks! -Ted
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