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This is the same as any rectangle of squares. It is decidedly not, and no way claims to be, Betzan ''Recta-hexing,'' which creates different hexagonal connectivity. Instead, the diamond style here (and see Shi Ji's references in similarities) is a different way to visualize ordinary CV boards, that is all. Each interior square has eight adjacencies, four of each type, the same as usual. It effects rearrangement of the board, points to line-segment, and line to point; and we can take ''Diagonal Oblong'' and go back again by stretch and bend, changing each line to point and point to line, careful to preserve each connection. Two corners still have the regular three adjacencies. What exactly happens though to the expected other two corners, for follow-up? If putting the other two corners in, then which two squares do not belong to get back to 64? And how to word the rules to distinguish the apparent variant Bishop and Rook of D.O? Balbo's Chess(1974) cited is one saw-tooth board, more to do with how big each file is; saw-tooth yields the perimetre-Rook, though not used at Balbo's. Is the present board 8x8 or 4x16? ''Guard your Queen'' was once standard courtesy; and now is Guarding the Queen with the Bishop, as option explained here, among not so many unique innovations in too repetitive last couple of years?