Difference between revisions of "Trapezoid"

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(add stars to make it clear which cells are included in the mouth)
(Minor formatting; added "trapezoid" as alternate name for this template.)
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The '''mouth''' is a [[group]] with a wide base.
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The '''mouth''' or '''trapezoid''' is a [[template]] with a wide base. It is one of the most common [[interior template]]s after the [[bridge]]. The [[carrier]] of the template, i.e., the set of cells that must be empty for the template to be valid, has been marked "*".
  
 
<hex>R5 C5
 
<hex>R5 C5
Sa1 Sb1 Sc1 Sd1 Se1
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Sa2 Sb2 Vc2 Vd2 Se2
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        Vc2 Vd2
  Sa3            Se3
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      Sb3 Sc3 Sd3     
  Sa4 Vb4     Vd4 Se4
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      Vb4 Sc4 Vd4  
    Sa5 Sb5 Sc5 Sd5 Se5</hex>
+
     
 +
</hex>
  
 
== Common patterns ==
 
== Common patterns ==
  
 
=== Gaining Ground ===
 
=== Gaining Ground ===
The mouth can be used to [[Stealing territory|steal territory]].
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The mouth can be used to steal [[territory]]. For example, in the following situation
 
<hex>R6 C7 Ve2 Vf2 Hc4 Hd5</hex>
 
<hex>R6 C7 Ve2 Vf2 Hc4 Hd5</hex>
<hex>R6 C7 Ve2 Vf2 Hc4 Hd5   Vd4 Hc5 Vf4</hex>
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Red can play as follows:
 +
<hex>R6 C7 Ve2 Vf2 Hc4 Hd5 N:on Vd4 Hc5 Vf4</hex>
  
 
=== Ladder Escapes ===
 
=== Ladder Escapes ===
It can also allow some [[ladder escape]] constructions.
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The mouth also allows some [[ladder escape]] constructions.
<hex>R6 C10 Ve2 Vf2 Vd4 Vf4 Vg4 Vh4 He5 Hf5 Hg5 Hh5</hex>
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<hex>R6 C10 Ve2 Vf2 Vh4 Hg5 Hh5 N:on Vg4 Hf5 Vf4 He5 Vd4</hex>
  
 
== Dominated cells ==
 
== Dominated cells ==

Revision as of 13:12, 16 August 2020

The mouth or trapezoid is a template with a wide base. It is one of the most common interior templates after the bridge. The carrier of the template, i.e., the set of cells that must be empty for the template to be valid, has been marked "*".

Common patterns

Gaining Ground

The mouth can be used to steal territory. For example, in the following situation

Red can play as follows:

132

Ladder Escapes

The mouth also allows some ladder escape constructions.

53142

Dominated cells

TODO:

Explain that some inner cells are dominated. See dead cell.