This is pure speculation (graphics algorithms and geometry aren't my strengths), but if you were to do this with a set of 3d points, would we get a relationship between delaunay triangulation (pyramidalization / convex hull?) a relative neighborhood graph, and a minimum spanning tree of 3d points, where combining the RNG and the MST would yield between 1 and 8 edges coming out? (at which point, we could use, say, the numpad for 3d gui widget navigation in the meta-verse in the same way you suggest using 4 cardinal directions for 2d gui representations)