\begin{definition}[Definition:Chebyshev Distance/Graphical Example]
This diagram shows the open $\epsilon$-ball $\map {B_\epsilon} {A; d_\infty}$ of point $A$ in the $\struct {\R^2, d_\infty}$ metric space where $d_\infty$ is the Chebyshev distance.
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Neither the boundary lines nor the extreme points are actually part of the open $\epsilon$-ball.
\end{definition}