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+--- Thread: The definition of OffDiagonal (/showthread.php?tid=457)
The definition of OffDiagonal - Michael - 02-24-2021
The definition of the OffDiagonal directions is "All directions between two cells sharing a vertex but not an edge".
In the attached image, doesn't the square with the pawn on it share a vertex, but not an edge, with each of those other dark squares?
RE: The definition of OffDiagonal - Eric Piette - 02-24-2021
Hi,
Not sure which ones you are talking about, what is "each of those other dark squares"?
Can you draw on that pic?
Regards,
Eric
RE: The definition of OffDiagonal - Michael - 02-24-2021
The ones diagonal to the one with the pawn.
RE: The definition of OffDiagonal - Eric Piette - 02-24-2021
That is just "Diagonal".
OffDiagonal is all the ones which are not diagonals.
def of diagonal is : "All directions between two sites in line through a vertex"
I will update the LGLG to be clear on OffDiagonal excluded Diagonal even if the name is telling that.
Regards,
Eric
RE: The definition of OffDiagonal - Michael - 02-24-2021
So the OffDiagonal directions are "all directions between two cells sharing a vertex but not an edge" minus "all directions between two sites in line through a vertex"?
RE: The definition of OffDiagonal - Eric Piette - 02-24-2021
Hi,
Yes, all the ones following that definition which are not diagonal.
Regards,
Eric
RE: The definition of OffDiagonal - QuaGamer - 01-16-2022
My understanding of this is that a cell in a square layout is actually a cube with 8 vertices and 12 edges. For game boards that use layers, OffDiagonal neighbors are the eight cells which are UNW, UNE, USW, USE, DNW, DNE, DSW, and DSE.