Direction: Difference between revisions

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link to oblique. That is currently a redirect to Oblique spaceship, which is already included in "Also see", but it can't hurt to have the term linked directly in case we want to define that independent of a spaceship.
more info (square/hexagon/cube)
 
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The '''direction''' of a pattern is defined by the way the pattern, or a part of it, reappears in a different area.
The '''direction''' of a pattern is defined by the way the pattern, or a part of it, reappears in a different area.


For [[spaceship]]s, [[puffer]]s, [[rake]]s and certain [[breeder]]s, this is defined as ''orthogonal'' (exclusively horizontal or vertical displacement), ''diagonal'' (both horizontal and vertical displacement, and ''[[oblique]]'' (other displacements, for example ''[[knightship|knightwise]]'' being horizontal being twice vertical displacement).
For [[spaceship]]s, [[puffer]]s, [[rake]]s and certain [[breeder]]s, this is defined as ''orthogonal'' (exclusively horizontal or vertical displacement), ''diagonal'' (both horizontal and vertical displacement), and ''[[oblique]]'' (other displacements, for example ''[[knightship|knightwise]]'' being horizontal being twice vertical displacement).


==Also see==
== 2D, square ==
* [[:Category:Speeds|List of important speeds]]
 
The direction of a moving pattern is typically described as orthogonal, diagonal, or oblique, where oblique can be further broken down into the exact direction in the form of (x,y), such as (2,1) for knightships.
 
== 2D, hexagonal ==
 
Like square grids, the direction can be orthogonal, diagonal, or oblique. Many people misidentify certain orthogonal spaceships as diagonal. A diagonal line in a 2D hexagonal grid goes through the corners of cells, while an orthogonal line goes through the centres of the sides of cells.
 
== 3D, cubic ==
 
While terminology isn't fully defined, diagonal is (1,1,0), while triagonal is (1,1,1).
 
== See also ==
* {{CategoryLink|Speeds}}
* [[Oblique spaceship]]
* [[Oblique spaceship]]
* [[Slope]]
* [[Slope]]

Latest revision as of 12:19, 7 June 2023

The direction of a pattern is defined by the way the pattern, or a part of it, reappears in a different area.

For spaceships, puffers, rakes and certain breeders, this is defined as orthogonal (exclusively horizontal or vertical displacement), diagonal (both horizontal and vertical displacement), and oblique (other displacements, for example knightwise being horizontal being twice vertical displacement).

2D, square

The direction of a moving pattern is typically described as orthogonal, diagonal, or oblique, where oblique can be further broken down into the exact direction in the form of (x,y), such as (2,1) for knightships.

2D, hexagonal

Like square grids, the direction can be orthogonal, diagonal, or oblique. Many people misidentify certain orthogonal spaceships as diagonal. A diagonal line in a 2D hexagonal grid goes through the corners of cells, while an orthogonal line goes through the centres of the sides of cells.

3D, cubic

While terminology isn't fully defined, diagonal is (1,1,0), while triagonal is (1,1,1).

See also