For this question, though I'm looking for a generalized answer that works independent of size, the Goldberg Polyhedron that I have is $GP(2, 2)$
Its dual being a subdivided icosahedron of $\{3,5+\}_{2,2}$
The hexagons are labelled using the axial coordinate system.
Is there a way to find the barycentric coordinates of the 3 nearest neighboring hexagons when some of those hexagons are across the icosahedron face boundary?
The example image is a face of a GP(2,2), as well as edges of its dual. One hexagon has a neighbor across the face boundary and one hexagon, is itself, across the face boundary. Getting the coordinates for those hexagons is the problem.
$\{3,5+\}_{2, 2}$ icosahedron, for reference, with its poorly added dual
