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Diagram 6.1: Alternative attack
  
 
is an alternative to the 2-2 attack. However this only works if the 
black group has no external liberties. This reason will become very clear later. 
 
  Diagram 6.2: Solution 1
  
  has no choice. 
  and   create a ko fight easily. 
 
  Diagram 6.3: Black fails
  
  wants to avoid the ko fight but that is not possible. 
After     exchange, 
  kills the corner because black cannot play at 'a'. 
This won't work for white if black has an extra liberty outside. 
 
  Diagram 6.4: Solution 2 (better)
  
  is a different way to start ko fight. 
  is very calm and only this guarantees a ko fight. This ko is better for
 white than that in Solution 1 for two reasons: (1) white takes ko first; 
 (2) white would take everything if winning the ko leaving no aji 
(in Solution 1, if white wins the ko there are two big ko threats left 
for black to use in the future). 
 
  Diagram 6.5: Black fails
  
  is a mistake. 
After   black again cannot play 'a' so the corner is dead. 
This would not work for white if black has one liberty outside. 
 
  Diagram 6.6: Black fails
  
  wants to try something fancy but this doesn't work. 
  is a good move, followed by a number of forcing moves. 
White ends up having an eye in the corner so black is dead. 
  could play   first but the result would be the same. 
 
  Diagram 6.7: Black fails too
  
  doesn't work as   forms an eye easily. 
 
To summarise: Diagram 6.4 is the best sequence for both sides. 
For white, in terms of aji, this ko fight also compares favorably to the one in Diagram 3.5 in Shape 3. 
So this should be the recommended way to start a ko fight for Carpenter's Square without external liberties. 
 
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