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Each square of the three by three grid is painted so that the whole picture has at least the two lines of symmetry indicated. Each grid square is painted one solid color. What is the maximum number of colors that could have been used?

 Dec 8, 2018

Best Answer 

 #1
avatar+4424 
+1

Let the grid be numbered

123

456

789

 

Based on the symmetry lines the groups that must be the same color are

{5}

{1,3,7,9}

{2,4,6,8}

 

Thus 3 colors are the maximum that can be used.

 Dec 8, 2018
 #1
avatar+4424 
+1
Best Answer

Let the grid be numbered

123

456

789

 

Based on the symmetry lines the groups that must be the same color are

{5}

{1,3,7,9}

{2,4,6,8}

 

Thus 3 colors are the maximum that can be used.

Rom Dec 8, 2018

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