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In the diagram above, there is a 6 dotted lattice.
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How many squares in the plane have two or more vertices on dots in this grid? All dots are an equal distance from their nearest neighbors.
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+118609 How many have you counted?
Say the horizontal distance between the dots is 1 unit.
How many 1x1 squares will there be?
How many 2*2 squares will there be?
How many sqrt2 x sqrt2 squares will there be?
How many sqrt2/2 x sqrt2/2 squares will there be?
How many sqrt5 x sqrt5 squares will there be?
Have I missed any?
