November 3, 2015

Count the Number of Squares

There are three squares in the picture and it is overlapping and forms 2 more squares.
What is the greatest number of squares you can make by overlapping three squares of the same size?

6 comments:

  1. 8 squares. Begin with the three squares of side "a" in the same position. Move one of them a delta<a/2 to the right and down, and other square to the left and up (the same quantity). Then you get 8 squares (3 of side a, 2 of side a-delta,one of side a-2delta and 2 of side delta).

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