In addition to Numenta’s orientation, we may have identified or be close to identifying a suitable reference point of the grid cell lattice allowing us to frame our material in accordance with a Numenta standard.
Both hexagon and triangle tiling may be fractal-like and both seem to scale well in terms of reference frame insofar as both may be used to represent anything from a sub-atomic particle to a cosmos including a single brain cell, ensemble of neural activity, higher level functions or the organism and organisms performing such functions, so by way of example; if in addition to the triangle, a single hexagon tile of the Numenta grid cell matrix may correspond with a single neuron, then a tri-coloured triangle such as in (figs. 3a or 3c), may correspond with a single hexagon tile in which case the hexagon goes without being shown, otherwise the first hexagon appears at three units as in (fig. 3f) or at six units as in (figs. 3g and i) and within the surely remarkable shows in ([figs. 5a, 7 and 8).
(Both eight and twelve triangle configurations are currently unreleased and given a number of interesting possibilities in both cases, further experiments may be required to determine a correct arrangement at which point the floor with the triangle tiles may be open to suggestions.)