See the image. How do you call the blue cells in relation to the black cell?
I've seen "orthogonally adjacent" for the first picture and "diagonally adjacent" for the second picture, but that leaves a void for the third picture (other than "orthogonally or diagonally adjacent", which is really long-winded).
If I were feeling inventive, I could make up "edge-adjacent", "corner-adjacent", and "edge- or corner-adjacent". That last one's still long-winded, but less so. The problem is, well (a) it's long-winded, and (b) "corner-adjacent" is a bit ambiguous. Technically, even the edge-adjacent cells share a corner with the black cell! So it might refer to the third picture.
(If I could enforce nomenclature, I would actually make people say "edge-adjacent" for the first, "corner-adjacent" for the third, and leave a void for the second (we don't need it anyway).)
Another option I can make up is "weakly adjacent" and "strongly adjacent", but again it's not clear if "weakly adjacent" refers to the second picture or the third.
So, what are the names for these types of adjacency? I mean this both in the "What's the official name" sense and "What would you call them" sense. I'm most interested in a name for the third picture; you can leave a void for the second picture for all I care. An example usage would be "The king can attack all [name] squares."
(I'm asking this in the board games forum because it seems like it'd important for talking about game rules.)
(Notice, by the way, that the Wikipedia page on Minesweeper just gives up, leaving the words "neighboring" and "adjacent" ambiguous.)