Board Thread:Contests and Competitions/@comment-29331244-20150803235422/@comment-24808864-20150805024436

HMcCoy does not want to do this, sorry! I know how I would do it, but I don't have the patience.

I believe the 18 squares is correct, but notice that Tibet's command does ask for rectangles. Since Skylar is also correct (a square is a rectangle) this ensures that the answer would be above 18.

Hint: I would look for "parallel" squares that overlap, as their intersections would create (possible non-square) rectangles.