Différences

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square_counting [2012/09/01 16:22]
suitable [Recognizing and Counting Squares]
square_counting [2012/09/01 16:37] (Version actuelle)
suitable
Ligne 28: Ligne 28:
  
 ==== Eliminating (Ignoring) Non-Corner Inner Zones ==== ==== Eliminating (Ignoring) Non-Corner Inner Zones ====
 +
 +Deriving from the previous figure, with squares 17 and 18 centered in larger (2*2) squares, eliminate those inner zones to clear the two larger (not yet counted) squares:
  
 | {{:square_2b.jpg|}} | | {{:square_2b.jpg|}} |
  
 ==== Eliminating (Ignoring) Corner Inner Zones ==== ==== Eliminating (Ignoring) Corner Inner Zones ====
 +
 +Deriving from the first figure, with squares 1 to 16, remove (ignore) mini-squares 9 to 16, clearing squares 21 to 28 in columns two and three:
  
 | {{:square_2a.jpg|}} | | {{:square_2a.jpg|}} |
Ligne 41: Ligne 45:
 The blocks 19 and 20 already "discovered" are the first two of nine 2*2 squares. Here are the seven others: The blocks 19 and 20 already "discovered" are the first two of nine 2*2 squares. Here are the seven others:
  
-| {{:square_3a.jpg|Corner 2x2s}} | {{:square_3b.jpg|Horizontal 2x2s}}  | +^ Four corners| {{:square_3a.jpg|Corner 2x2s}} 
-| {{:square_3c.jpg|Central 2x2}} |  |+^ Central Horizontal| {{:square_3b.jpg|Horizontal 2x2s}}  | 
 +^ Center| {{:square_3c.jpg|Central 2x2}} |  |
  
-    * The count is already up to 35.+    * The count is up to 35.
    
 ==== 3 * 3 Blocks ==== ==== 3 * 3 Blocks ====
  
-| {{:square_4a.jpg|Top left 3x3}} | {{:square_4b.jpg|Top right 3x3}} | +Four 3*3 blocks can be composed from the 4*4 grid, 
-| {{:square_4d.jpg|Bottom left 3x3}} | {{:square_4c.jpg|Bottom right 3x3}} |+^  ^  Left  ^  Right  ^ 
 +^ Top| {{:square_4a.jpg|Top left 3x3}} | {{:square_4b.jpg|Top right 3x3}} | 
 +^ Bottom| {{:square_4d.jpg|Bottom left 3x3}} | {{:square_4c.jpg|Bottom right 3x3}} |
  
   * The count is now 39, with the outer box yet to count.   * The count is now 39, with the outer box yet to count.
 
square_counting.txt · Dernière modification: 2012/09/01 16:37 par suitable
 
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