We can also refer to Voronoi diagram defined with the supermum metric,
such a Voronoi diagram is called Supermum metric Voronoi diagram. The Supermum-metric
Voronoi diagram is quite similar to the manhattan Voronoi diagram.
Generally, if we rotate the x1-x2 plane in manhattan-metric with generators counterclockwise by π/4, we obtain diagram in the supermum metric.
Specifically, if we rotate the bisector defined with the Manhattan metric counterclockwise by π/4, we obtain the bisector defined with the supermum metric.