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Orthogonal
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In the domain of Dwarf Fortress, orthogonal, or orthogonally, is a fancy word used to mean "not diagonally". It's shorthand for "East-West, North-South" or "up or down or left or right".
This concept is important in many aspects of construction, fluid pressure, and other areas. Especially in above-ground construction, where a tile not connected orthogonally to something either cannot be built, or will collapse.
Each of the tiles marked 'o' is orthogonally adjacent to the X. The tiles marked with periods are not.
.o. oXo .o.
These X's are all connected orthogonally:
XXXXXX XXX X X XXXXXXX
These X's are not--some connections are diagonal:
XXX XX XX
XX X
XXXXXX