 |
BUILT-IN MATHEMATICA SYMBOL
RegionPlot[pred, {x, xmin, xmax}, {y, ymin, ymax}]
makes a plot showing the region in which pred is True.
Details and Options
- The predicate pred can be any logical combination of inequalities.
- The region plotted by RegionPlot can contain disconnected parts.
- By default, the interior of each part is shown in gray, with a black line as its boundary.
- RegionPlot has the same options as Graphics, with the following additions and changes:
-
AspectRatio 1 ratio of height to width BoundaryStyle Automatic the style for the boundary of each region ColorFunction Automatic how to color the interior of each region ColorFunctionScaling True whether to scale the argument to ColorFunction EvaluationMonitor None expression to evaluate at every function evaluation Frame True whether to draw a frame around the plot MaxRecursion Automatic the maximum number of recursive subdivisions allowed Mesh None how many mesh lines to draw MeshFunctions {#1&,#2&} what mesh lines to draw MeshShading None how to shade regions between mesh lines MeshStyle Automatic the style for mesh lines Method Automatic the method to use for refining regions PerformanceGoal $PerformanceGoal aspects of performance to try to optimize PlotLegends None legends for regions PlotPoints Automatic initial number of sample points PlotRange Full the range of values to include in the plot PlotRangeClipping True whether to clip at the plot range PlotRangePadding Automatic how much to pad the range of values PlotStyle Automatic graphics directives to specify the style for regions TextureCoordinateFunction Automatic how to determine texture coordinates TextureCoordinateScaling True whether to scale arguments to TextureCoordinateFunction WorkingPrecision MachinePrecision the precision used in internal computations - Typical settings for PlotLegends include:
-
None no legend Automatic automatically determine the legend "Expressions" use 
, 
, ... as the legend labels{lbl1,lbl2,...} use 
, 
, ... as the legend labelsPlaced[lspec,...] specify placement for the legend - RegionPlot initially evaluates pred at a grid of equally spaced sample points specified by PlotPoints. Then it uses an adaptive algorithm to subdivide at most MaxRecursion times, attempting to find the boundaries of all regions in which pred is True.
- You should realize that since it uses only a finite number of sample points, it is possible for RegionPlot to miss regions in which pred is True. To check your results, you should try increasing the settings for PlotPoints and MaxRecursion.
- With the default setting PlotRange->Full, RegionPlot will explicitly include the full ranges
to 
and 
to 
for x and y. - With Mesh->All, RegionPlot will explicitly draw mesh lines to indicate the subdivisions it used to find each region.
- RegionPlot can in general only find regions of positive measure; it cannot find regions that are just lines or points.
- The arguments supplied to functions in MeshFunctions and RegionFunction are x, y. ColorFunction and TextureCoordinateFunction are by default supplied with scaled versions of these arguments.
- RegionPlot returns Graphics[GraphicsComplex[data]].
New in 6 | Last modified in 9
