Below is an interactive tool to draw the $l_{p}$-norm unit circle in $\mathbb{R}^2$ for a given value of $p\ge0$, inspired by the above picture from Wikipedia. To draw the set $\{(x,y)\in\mathbb{R}^{2}:|x|^{p} + |y|^{p} = 1\}$ all you need to do is set the value of $p\ge0$ you want in the box and then click the button to evaluate.