can you model a square in an equation ?
like a circle for example $r^2 = x^2 + y^2$
and lets say we have a square with: centered at $(3,3)$
$2 \leq x \leq 4$ and $2 \leq y\leq 4$
can we somehow make an equation for that square ?
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- $\begingroup$ you can use the min() and absolute value functions $\endgroup$Guy– Guy2014-03-11 16:55:59 +00:00Commented Mar 11, 2014 at 16:55
- $\begingroup$ math.stackexchange.com/questions/69099/equation-of-a-rectangle $\endgroup$lab bhattacharjee– lab bhattacharjee2014-03-11 16:57:04 +00:00Commented Mar 11, 2014 at 16:57
- $\begingroup$ You can regard the square as the limiting set of the graphs of $$|x-3|^p + |y-3|^p=1$$ as $p\rightarrow +\infty$. Unfortunately, you can't really write $|x-3|^{\infty} + |y-3|^{\infty}=1$ without rigorously defining the symbols used. $\endgroup$MPW– MPW2014-03-11 17:34:29 +00:00Commented Mar 11, 2014 at 17:34
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1 Answer
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In general, $\left|(x - h) + (y - k) \right|+\left| (x - h) - (y - k) \right|=r$ describes a square centered at (h,k) and having side length r.
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- $\begingroup$ This isn't plotted in desmos is it? $\endgroup$sato– sato2021-04-03 07:40:56 +00:00Commented Apr 3, 2021 at 7:40