RegionFunction
RegionFunction
is an option for plotting functions that specifies the region to include in the plot drawn.
Details
- The setting RegionFunction->r specifies that a point should be included in the region when r[args] yields True.
- The arguments supplied to r are as follows:
-
Plot x , y ParametricPlot x, y, u or x, y, u, v ContourPlot and ListContourPlot x, y, f DensityPlot and ListDensityPlot x, y, f ContourPlot3D and ListContourPlot3D x, y, z, f Plot3D, ListPlot3D, and ListSurfacePlot3D x, y, z ParametricPlot3D x, y, z, u or x, y, z, u, v - Adaptive refinement is typically used to determine the boundaries of the region specified by RegionFunction.
- The boundary of regions defined by RegionFunction is drawn with a style specified by the setting for BoundaryStyle.
Examples
Basic Examples (2)
Plot3D[x ^ 2 - y ^ 2, {x, -3, 3}, {y, -3, 3}, RegionFunction -> Function[{x, y, z}, 2 < x ^ 2 + y ^ 2 < 9]]ContourPlot[x ^ 2 - y ^ 2, {x, -3, 3}, {y, -3, 3}, RegionFunction -> Function[{x, y, z}, 2 < x ^ 2 + y ^ 2 < 9]]Region cuts in the radial direction:
SphericalPlot3D[1 + Sin[5θ]Sin[5ϕ] / 5, {θ, 0, Pi}, {ϕ, 0, 2Pi}, Mesh -> None, RegionFunction -> (#6 > 0.95&), PlotStyle -> FaceForm[Orange, Yellow]]
Wolfram Research (2007), RegionFunction, Wolfram Language function, https://reference.wolfram.com/language/ref/RegionFunction.html.
Text
Wolfram Research (2007), RegionFunction, Wolfram Language function, https://reference.wolfram.com/language/ref/RegionFunction.html.
CMS
Wolfram Language. 2007. "RegionFunction." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/RegionFunction.html.
APA
Wolfram Language. (2007). RegionFunction. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/RegionFunction.html