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Tuesday puzzle

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Tuesday puzzle

#1

Tuesday puzzle

Alex Y

How many squares, of any size, can be drawn using the points on a 5x5 grid as the corners of the squares?


Re: Tuesday puzzle

#2

Re: Tuesday puzzle

John Veerkamp

Quick count = 30

Re: Tuesday puzzle

#3

Re: Tuesday puzzle

Alex Y

Come back after a slow count. ;)

Re: Tuesday puzzle

#4

Re: Tuesday puzzle

Bill Earl

Coming at it from a different angle, I see 10 more.

Re: Tuesday puzzle

#5

Re: Tuesday puzzle

Jerry Glaser

I count 59 squares.

Re: Tuesday puzzle

#6

Re: Tuesday puzzle

Jerry Glaser

I miscounted. The answer should be 50.

Re: Tuesday puzzle

#7

Dale Lenz

31


Re: Tuesday puzzle

#8



Alex Y

That's the answer I get. You had me worried for a sec that I had missed nine! ;)

Re: Tuesday puzzle

#9

Solution; all 50 shown

Alex Y

Congrats to Jerry for finding all 50 squares that can be drawn using these points. Below is an illustration, showing one example of each size square, and the count of those squares (from shifting horizontally and vertically, and in two cases by reflection):


Re: Tuesday puzzle

#10

Re: Solution; all 50 shown

Jerry Glaser

You should add 24 more squares to make the total 74! I did this by drawing 45 degree diagonals thru each point and getting 24 more squares. Try it.

Re: Tuesday puzzle

#11

Yes, but

Alex Y

are the corners of the squares points on the grid? I think not, if I am picturing correctly what you are doing.

And if you eliminate that requirement, then I suspect the answer is infinitely many squares!

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