I suspect that Numenta has not considered that approximately fixed length interconnections will naturally form a triangle, and from that eventually, a hex-grid.
I discussed the possibility of interlocking grids in my post and expect that this is or is not possible based on how strong and long-range the inter-neuron inhibition is.
the idea of doing a hex-grid search across a set of activated minicolumns with proper topology, getting a ranked list of grids and inspecting what that means is quite interesting.
I see that you are starting to see the possibilities that this opens up for inter-area signaling.
You may also think about what it might mean if more than on one grid forms on a map at the same time and how that is related to some of the papers that have been describing what they are seeing with coding in the HC/EC complex. At a bare minimum, this is what is in the cortical hubs. (Association regions)
I think about this a lot; tuples come up a lot in my thoughts.