is an option for plotting functions that specifies the boundary style for the region over which the plot is being drawn.


  • RegionBoundaryStyle is typically used for plots that contain discrete elements, to better show the full region of the plot.
  • The region being styled may come from a variable specification, RegionFunction or a combination of sources.
  • The following settings can be used:
  • Automaticautomatically style the region boundary
    Noneomit the region boundary
    styledraw with specified graphics directives
  • With RegionBoundaryStyle->Automatic, regions that completely fill the plot will generally not be drawn.


open allclose all

Basic Examples  (3)

Automatically style the plotted region:

Omit the boundary of the region:

Automatic will style the region in ContourPlot3D:

Scope  (5)

Use a black boundary for the region:

Style the region from a region function:

By default, the boundary is not shown for full regions:

Specify an explicit boundary style:

Use explicit RegionBoundaryStyle in ContourPlot3D:

Style the full region with a specific color:

Wolfram Research (2020), RegionBoundaryStyle, Wolfram Language function,


Wolfram Research (2020), RegionBoundaryStyle, Wolfram Language function,


@misc{reference.wolfram_2020_regionboundarystyle, author="Wolfram Research", title="{RegionBoundaryStyle}", year="2020", howpublished="\url{}", note=[Accessed: 23-January-2021 ]}


@online{reference.wolfram_2020_regionboundarystyle, organization={Wolfram Research}, title={RegionBoundaryStyle}, year={2020}, url={}, note=[Accessed: 23-January-2021 ]}


Wolfram Language. 2020. "RegionBoundaryStyle." Wolfram Language & System Documentation Center. Wolfram Research.


Wolfram Language. (2020). RegionBoundaryStyle. Wolfram Language & System Documentation Center. Retrieved from