What is property of the integers $x$, such that there a lattice square (square with integer co-ordinates) of area $x$ ?
I'm stumped by this question. a complete explanation would be appreciated
2026-03-26 18:58:48.1774551528
Area of square with integer co-ordinates
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If we place one vertex at $(x_1,y_1)$ and a second vertex at $(x_2,y_2)$, we generate a side of length $(\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$ from which a square can be constructed with area $(x_1-x_2)^2+(y_1-y_2)^2$. So any area which is the sum of two square integers (one of which might be $0$) can be obtained.