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Difference between revisions of "Orthogonal"

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'''Orthogonal''', or '''orthogonally''', is a fancy word for "not diagonally". It's the technical word for "East-West, North-South" or "up or down or left or right".
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'''Orthogonal''', or '''orthogonally''', is a technical word used to mean "not diagonally". It's shorthand for "East-West or North-South" or ''(for 2 dimensions)'' "up or down or left or right".  
  
Each of these lighter tiles is orthogonal to the darker tile:
+
    ''Diagram 1:''<br />
 +
    xox
 +
    oCo
 +
    xox
 +
:* The center tile, C, is orthogonal to the four o tiles.<br />
 +
:* Each o tile is orthogonal to the center C tile, plus two x tiles.<br />
 +
:* The x tiles are all orthogonal to two o tiles.<br />
 +
:* No o tiles are orthogonal to each other, nor are any x tiles orthogonal to each other or the C tile.
  
      ░
 
      ░▓░
 
      ░
 
  
 +
In the domain of Dwarf Fortress, this concept is crucial in many aspects of [[construction]], fluid [[pressure]], and other areas. Especially in [[tower|above-ground construction]], where a tile not connected orthogonally to something either cannot be built, or will [[collapse]].
  
These tiles are all connected orthogonally:
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These █'s are all connected orthogonally to at least 1 other █. If this was constructed walls or flooring, it would hold up:
  
▓▓▓▓▓▓   ▓▓▓
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  ██████   ███
     ▓    ▓
+
    ██    
    ▓▓▓▓▓▓▓
+
      ███████
  
  
These tiles are not, some are diagonal:
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These █'s are ''not'' all connected orthogonally to another █ - some connections are only diagonal. If this was constructed walls or flooring, some parts would [[collapse]], or not be legal to construct:
  
▓▓▓ ▓▓   ▓▓
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   ███ ██   ██
   ▓▓    ▓
+
     ██    █
     ▓▓▓▓▓▓
+
      ██████
 
 
 
 
In Dwarf Fortress, this concept is important in many aspects of [[construction]], fluid [[pressure]], and [[path]]ing, among other areas. Especially in [[tower|above-ground construction]], where a tile not connected orthogonally to something either cannot be built, or will collapse.
 
  
 
[[Category:Design]]
 
[[Category:Design]]
 +
[[ru:Orthogonal]]

Latest revision as of 02:38, 18 September 2024

Orthogonal, or orthogonally, is a technical word used to mean "not diagonally". It's shorthand for "East-West or North-South" or (for 2 dimensions) "up or down or left or right".

   Diagram 1:
xox oCo xox
  • The center tile, C, is orthogonal to the four o tiles.
  • Each o tile is orthogonal to the center C tile, plus two x tiles.
  • The x tiles are all orthogonal to two o tiles.
  • No o tiles are orthogonal to each other, nor are any x tiles orthogonal to each other or the C tile.


In the domain of Dwarf Fortress, this concept is crucial 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.

These █'s are all connected orthogonally to at least 1 other █. If this was constructed walls or flooring, it would hold up:

  ██████   ███
    ██     █
     ███████


These █'s are not all connected orthogonally to another █ - some connections are only diagonal. If this was constructed walls or flooring, some parts would collapse, or not be legal to construct:

  ███ ██    ██
    ██     █
      ██████