Comments on How can you "easily see that such squares [of side length $\sqrt{13}$ and $\sqrt{18}$] will not fit into the [4 × 4] grid"?
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How can you "easily see that such squares [of side length $\sqrt{13}$ and $\sqrt{18}$] will not fit into the [4 × 4] grid"?
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Problem 2.4: How many squares of any size can be formed by connecting dots in the grid shown in Figure 2.2.
I skip p 31, but apprise me if you want me to include it.
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Side lengths of squares must be equal. Thus how can $m \neq n$ below?
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How do you most "easily see that such squares will not fit into the grid: there is no way to insert into the grid a square with side length $\sqrt(13)$ or with side length $\sqrt(18)$"? I can't easily see this. Perhaps I need an eye exam!
David Patrick, BS Math & Computer Science, MS Math (Carnegie Mellon), PhD Math (MIT). Introduction to Counting & Probability (2005), pp 30, 32-3.
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