Definition:Chebyshev Distance/Graphical Example

Definition
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.


 * ChebyshevDistance.png

Neither the boundary lines nor the extreme points are actually part of the open $\epsilon$-ball.