arbitrary bouba, arbitrary kiki, rich structure: choose two

Case 1. arbitrary bouba, rich structure, restricted kiki: open entities.
Case 2. arbitrary kiki, rich structure, restricted bouba: closed entities.
Case 3. arbitrary bouba, arbitrary kiki, poor structure: extreme granularity (either extremely coarse-grained, or extremely fine-grained).
one possible interpretation: bouba = unions; kiki = intersections; structure = topology, with the archetypal example of an extremely coarse-grained topology being, of course, the indiscrete topology, and with the archetypal example of an extremely fine-grained topology being, of course, the discrete topology.
keywords: choices, General Topology, Point-Set Topology