4×4 Dot Puzzler

4x4DotsSo in Management Basics for Information Professionals by Evans and Ward, there is a brain teaser to determine the number of squares that can be created in the following 4×4 dot matrix.  The answer given was 32 and for the life of me I could not figure out how the authors came to that answer.  I was finally able to figure it out with a little help from Photoshop.  So here is the solution that I figured out:

Group 1:

4x4Dots_group1

 

 

 

 

 

 

 

 

 

 

Group 2:

4x4Dots_group2

 

 

 

 

 

 

 

 

 

 

Group 3:

4x4Dots_group3

 

 

 

 

 

 

 

 

 

 

Group 4:

4x4Dots_group4

 

 

 

 

 

 

 

 

 

 

Group 5:

4x4Dots_group5

 

 

 

 

 

 

 

 

 

 

Group 6:

4x4Dots_group6

 

 

 

 

 

 

 

 

 

 

So, 1+5+9+4+1+12 = 32

Advertisements