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Tuesday, June 14, 2022

Sudoku Pattern Adjacency


If you have been able to memorize all the patterns I shared in my post about Sudoku Square Patterns, then solving some Sudoku puzzles should be a breeze.

The non-diagonal Sudoku Square Patterns I shared were:

  1.  123
  2.  345
  3.  678
  4.  135
  5.  357
  6.  316 (which I called John 3:16)
  7.  196
  8.  145
  9.  945

In the figure below, I simply drop the Non-Diagonal Pattern (NDP) labels so that it is easier to visualize.

 

Based on the diagram, we can see that a 678 NDP, a 135 NDP, and a 357 NDP will always be in the same row or column. Shifting of rows and columns are possible. So the 678 - 135 - 357 row can switch places with the 145 - 945 - 123 row. The 135 - 316 - 945 column can shift positions with the 357 - 196 - 123 column. The square patterns act like jigsaw pieces in a 3 by 3 jigsaw puzzle. If you can figure out the location of two pieces, then you can pretty much figure out the location of the rest of the pieces.

 

 

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