In order to arouse interest of my high school students to plot graphs I want to plot interesting funny graphs such as the one of the batman equation. I'm looking something simpler, maybe in a form of a piece-wise function.
I want to plot it in class.
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$\begingroup$Though it's not funny, but one of very beautiful graphs is "The Love Graph".
\begin{align} &x =16\sin^3 t \\ &y = 13\cos t -5\cos 2t -2\cos 3t -\cos 4t \end{align}
how about $$\sin(\sin(x))=\cos(\sin(xy)+\cos(x)?$$
$\endgroup$1$\begingroup$$$y = | \sin(x)| + 5\exp(-x^{100})\cos(x) , -\pi < x < \pi$$
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