
A full size picture can be downloaded here (zipped PNG image, about 3.5 Mb). Warning: it is a very large map (some 12500 x 6000 pixels) and you may not be able to fully visualize it in your computer. Just in case, I splitted this large picture into 4 smaller maps that you may download here (a set of four zipped PNG images, about 4 Mb total). Every lesser picture is about 6000 x 6000 pixels.
The Dymaxion projection of the map above grants that the distorsions induced by latitude on the hexgrid are someway shared by all hexes so, as far as mapmaking is concerned, we can well assume that all hexes on the map actually represent the same area and cross-borders distance, regardless of latitude/longitude distorsions and other similar issues (i.e: an equatorial exagon is equal to a hexagon near to the poles, and so on)

(Technical note: a dozen purple hexes are visible at the triangles' intersections; they should be pentagons instead of hexagons in order to have a true Dimaxyon progection, but the error you introduce in assuming them to be 6-side polygons is negligible)
Said so, I think the 72 miles/hex scale is someway a limit for the global map of an Earth-size planet (Thalassa happens to have a diameter which is about 1,2 Earth diameter, due to an early cartographic error of mine at the beginning of the project

Anyway, I think that the hexed global map would make every region pretty easy to identify and to be represented on more detailed scales. It would also make the calculations of distances between distant places pretty easy. Moreover, I agree with Dave_L's thoughts about having an unambiguous method of identifying regions on the global map (i.e a unique reference hexgrid for the whole planet) so to avoid having nearby local maps with mismatching overlapping borders.
(To Dave_L: are you still around here? What do you think of the map? Do you think it would be still necessary to number hexes? I estimate the map contains more than 100'000 of them!!)
Hope this set of pictures may help you in the future mapmaking of Thalassa!
