Difference between revisions of "Nozoki"

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A nozoki (term borrowed from Go) is a [[Forcing moves|forcing move]] to which opponent has just a single answer to defend against an immediate threat. This situation occurs if one threatens to cut a connection between major groups or key stones of opponent's. The stone causing this threat is called a nozoki.
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A nozoki (term borrowed from Go) is a [[Forcing moves|forcing move]] to which opponent has just a single answer to defend against an immediate threat. This situation occurs if one threatens to cut a connection between major groups or key stones of the opponent. The stone causing this threat is called a nozoki.
  
Sometimes it's hard to tell if a move is [[Forcing moves|forcing]], i.e. if the nozoki is correct or wrong. Playing correct nozokis is one of the most sophisticated aspects of hex strategy.
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Sometimes it's hard to tell if a move is [[Forcing moves|forcing]], i.e. if the nozoki is correct or wrong. Playing correct nozokis is one of the most sophisticated aspects of Hex strategy.
  
 
== Example ==
 
== Example ==
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In this position red player can play 2 '''correct nozokis''' - c4 or c3. In case of playing c3, blue has to defend with c4. In case of playing c4, blue has to defend with c3. Otherwise blue loses the game.
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In this position, Redr can play 2 '''correct nozokis''' &mdash; c4 or c3. If Red plays c3, Blue must defend with c4. If Red plays c4, Blue must defend with c3. Otherwise, Blue loses the game.
  
Notice that moves on a4, a5, f2 and f3 are '''wrong nozokis'''. Against a4, a5 blue has a choice of playing b5 which improves their position. Similarly, against f2, f3 blue should play d2.
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Notice that moves at a4, a5, f2 and f3 are '''wrong nozokis'''. Against a4 or a5, Blue has a choice of playing b5 which improves Blue's position. Similarly, against f2 or f3, Blue should play d2.
  
 
== Crucial nozoki ==
 
== Crucial nozoki ==
  
There is a great use for playing nozokis. In certain conditions a player can benefit from them and claim victory. Look at the following example:
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Playing nozokis can be very useful. In certain situations, playing a nozoki can make the difference between winning and losing. Consider the following example:
  
 
<hexboard size="9x9"
 
<hexboard size="9x9"
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The only winning move for red is the nozoki on d6. If red misses it the game proceeds as follows and the winner is blue.
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The only winning move for Red is the nozoki on d6. If Red misses it, the game proceeds as follows and Blue wins:
  
 
<hexboard size="9x9"
 
<hexboard size="9x9"
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If d6 is played then red win.
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If Red starts by playing d6 instead, Red wins:
  
 
<hexboard size="9x9"
 
<hexboard size="9x9"

Revision as of 02:31, 30 November 2020

A nozoki (term borrowed from Go) is a forcing move to which opponent has just a single answer to defend against an immediate threat. This situation occurs if one threatens to cut a connection between major groups or key stones of the opponent. The stone causing this threat is called a nozoki.

Sometimes it's hard to tell if a move is forcing, i.e. if the nozoki is correct or wrong. Playing correct nozokis is one of the most sophisticated aspects of Hex strategy.

Example

abcdef123456

In this position, Redr can play 2 correct nozokis — c4 or c3. If Red plays c3, Blue must defend with c4. If Red plays c4, Blue must defend with c3. Otherwise, Blue loses the game.

Notice that moves at a4, a5, f2 and f3 are wrong nozokis. Against a4 or a5, Blue has a choice of playing b5 which improves Blue's position. Similarly, against f2 or f3, Blue should play d2.

Crucial nozoki

Playing nozokis can be very useful. In certain situations, playing a nozoki can make the difference between winning and losing. Consider the following example:

abcdefghi123456789

The only winning move for Red is the nozoki on d6. If Red misses it, the game proceeds as follows and Blue wins:

abcdefghi12345678913254768

If Red starts by playing d6 instead, Red wins:

abcdefghi123456789321