No. Adjacent squares don't intersect. 
x1      x2=x3      x4
+---------+           y1
|         +---------+ y3
|         |         |
|         |         |
|         |         |
+---------+         | y2
          +---------+ y4

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In reply to Re^5: Checking if squares intersect by ikegami
in thread Checking if squares intersect by Anonymous Monk

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