I thought I’d create an implementation of this description of a hex-based geodesic sphere to see what I thought of it, and it seems that I rather like it 
This algorithm uses no memory at all, and calculates adjacencies on the fly when required.
By way of a brief explanation:
The constructor for NewGeodesicSphereTopology takes a “size factor” which describes the length in hexes of one of the triangles in the icosahedron. With a size factor of 1, there are in fact no hexes, as the vertices of the icosahedron are of course pentagons.
I’ve described the shape unfolded from the icosahedron in terms of 5 “patches”. Vertex 0 is the “North Pole” and 11 is the “South Pole”, with odd indices in between being the northern “tropics” and the evens being the southern.
Here’s the gist of the code. fixed a small bug
Cas