Difference between revisions of "Pattern"

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(pattern is no longer "the only known")
 
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A '''pattern''' is simply a collection of pieces in some region of the board. The region may be near an edge, such as the Ziggurat
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A '''pattern''' is simply a collection of pieces in some region of the board. The region may be near an edge, such as the [[ziggurat]]
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<hexboard size="3x4"
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  coords="none"
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  edges="bottom"
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  visible="area(c1,a3,d3,d1)"
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  contents="R c1"
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  />
  
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[[Image:Ziggurat.png]]
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or it could be anywhere on the board, such as the basic [[bridge]]:
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<hexboard size="2x2"
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  coords="none"
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  edges="none"
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  contents="R a1 b2"
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  />
  
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or it could be anywhere in the board, such as the basic [[bridge]]:
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A pattern can be of any size -- for example here is a pattern: a single-stone 6th row [[edge template]].
  
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[[Image:Bridge.png]].
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<hexboard size="6x14"
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  coords="none"
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  edges="bottom"
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  visible="area(i1,c4,a6,n6,n4,k1)"
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  contents="R j1"
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  />
  
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A pattern can be as large as you like -- for example here is a pattern: the only known single-stone 6th row edge template.
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The general notion of a pattern is useful because various important notions in Hex, such as that of an [[edge template]] or a [[ladder escape]], are patterns.
  
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<hex>
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The '''carrier''' of a pattern is the set of all cells that are part of the pattern (whether occupied by pieces or not).
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R6 C14
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Sa1 Sb1 Sc1 Sd1 Se1 Sf1 Sg1 Sh1 Rj1 Sl1 Sm1 Sn1
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Sa2 Sb2 Sc2 Sd2 Se2 Sf2 Sm2 Sn2
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Sa3 Sb3 Sc3 Sd3 Sn3
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Sa4 Sb4
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Sa5
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</hex>
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The starred [[hex_(board_element)|hexes]] are not part of the pattern (they are only there because no-one has taken the trouble to find out how to remove them).
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[[category: Definition]]
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The general notion of a pattern is useful because various important notions in hex such as that of an [[edge template]] or a [[ladder escape]] are patterns.
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Latest revision as of 22:17, 21 December 2023

A pattern is simply a collection of pieces in some region of the board. The region may be near an edge, such as the ziggurat

or it could be anywhere on the board, such as the basic bridge:

A pattern can be of any size -- for example here is a pattern: a single-stone 6th row edge template.

The general notion of a pattern is useful because various important notions in Hex, such as that of an edge template or a ladder escape, are patterns.

The carrier of a pattern is the set of all cells that are part of the pattern (whether occupied by pieces or not).

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