Built-in Mathematica Symbol

ListContourPlot

ListContourPlot[array]
generates a contour plot from an array of height values.

ListContourPlot[{{x₁, y₁, f₁}, {x₂, y₂, f₂}, ...}]
generates a contour plot from values defined at specified points.

ListContourPlot[array] arranges successive rows of array up the page, and successive columns across.

ListContourPlot by default generates grayscale output, in which larger values are shown lighter.

ListContourPlot has the same options as Graphics, with the following additions and changes:

AspectRatio	1	ratio of height to width
BoundaryStyle	None	how to draw RegionFunction boundaries
ClippingStyle	None	how to draw values clipped by PlotRange
ColorFunction	Automatic	how to determine the color of regions between contour lines
ColorFunctionScaling	True	whether to scale the argument to ColorFunction
ContourLabels	None	how to label contour levels
Contours	Automatic	how many or what contours to use
ContourShading	Automatic	how to shade regions between contours
ContourStyle	Automatic	the style for contour lines
DataRange	Automatic	the range of x and y values to assume for data
Frame	True	whether to draw a frame around the plot
FrameTicks	Automatic	frame tick marks
InterpolationOrder	None	the polynomial degree in each variable of the function interpolated between data points
MaxPlotPoints	Automatic	the maximum number of points to include
Mesh	None	how many mesh lines in each direction to draw
MeshFunctions	{}	how to determine the placement of mesh lines
MeshStyle	Automatic	the style for mesh lines
Method	Automatic	the method to use for interpolation and data reduction
PerformanceGoal	$PerformanceGoal	aspects of performance to try to optimize
PlotRange	{Full,Full,Automatic}	the range of f or other values to include
PlotRangeClipping	True	whether to clip at the plot range
PlotRangePadding	Automatic	how much to pad the range of values
RegionFunction	(True&)	how to determine whether a point should be included

array should be a rectangular array of real numbers; holes will be left in the plot whenever there are elements that are not real numbers.

ListContourPlot[array] by default takes the x and y coordinate values for each data point to be successive integers starting at 1.

The setting DataRange->{{x_min, x_max}, {y_min, y_max}} specifies other ranges of coordinate values to use.

With the default setting DataRange->Automatic, ListContourPlot[{{a₁₁, a₁₂, a₁₃}, ..., {a_n1, a_n2, a_n3}}] will assume that the data being given is {{x₁, y₁, f₁}, ...}, rather than an n×3 array of values.

ListContourPlot[list, DataRange->All] always takes list to represent an array of values.

For ListContourPlot[array], Mesh->Full draws a mesh that crosses at the position of each data point.

In determining how to color regions between contour levels, ListContourPlot looks first at any explicit setting given for ContourShading, then at the setting for ColorFunction.

The arguments supplied to functions in MeshFunctions and RegionFunction are x, y, f.

ColorFunction is by default supplied with a single argument, given by the average of the scaled values of f for each pair of successive contour levels.