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ListPointPlot3D

ListPointPlot3D

generates a 3D scatter plot of points with coordinates

.

ListPointPlot3D[array]
generates a 3D scatter plot of points with a 2D array of height values.

ListPointPlot3D

plots several collections of points, by default in different colors.

MORE INFORMATION

ListPointPlot3D has the same options as Graphics3D, with the following additions and changes:

	Axes	True	whether to draw axes
	BoxRatios	{1,1,0.4}	bounding 3D box ratios
	ColorFunction	Automatic	how to determine the color of points
	ColorFunctionScaling	True	whether to scale arguments to ColorFunction
	DataRange	Automatic	the range of x and y values to assume for data
	Filling	None	how to fill in stems for each point
	FillingStyle	Automatic	style to use for filling
	PlotRange	{Full,Full,Automatic}	the range of z or other values to include
	PlotRangePadding	Automatic	how much to pad the range of values
	PlotStyle	Automatic	graphics directives to specify the styles of points
	RegionFunction	(True&)	how to determine whether a point should be included

ListPointPlot3D by default uses different colors to indicate points from different lists.

Interactive labeling can be specified for points or lists of points using Tooltip, StatusArea, or Annotation.

The option setting Filling->Automatic show stems for all points.

ListPointPlot3D[array] by default takes the x and y coordinate values for each data point to be successive integers starting at 1.

The elements of array can also be triples , specifying heights at explicit positions .

In the default case with no explicit x and y given, the setting DataRange specifies the ranges of coordinate values to use.

With the default setting DataRange->Automatic, ListPointPlot3D will assume that the data being given is , rather than an ×3 array of height values.

ListPointPlot3D[list, DataRange->All] always takes list to represent an array of height values.

array can be a SparseArray object.

The arguments supplied to functions in MeshFunctions and RegionFunction are x, y, and z. Functions in ColorFunction are by default supplied with scaled versions of these arguments.

ListPointPlot3D returns Graphics3D[data].

Basic Examples (5)

Show a scatter plot from an array of height values:

Use irregularly spaced data:

Fill below the points:

Show multiple sets of points:

Color the points by height:

Show a scatter plot from an array of height values:

Out[1]=

Use irregularly spaced data:

Out[2]=

Fill below the points:

Out[1]=

Show multiple sets of points:

Out[1]=

Color the points by height:

Out[1]=

For regular data consisting of

values, the

and

data ranges are taken to be integer values:

Provide explicit

and

data ranges by using DataRange:

Plot multiple sets of regular data:

For irregular data consisting of

triples, the

and

data ranges are inferred from the data:

Plot multiple sets of irregular data:

Areas around where the data is nonreal are excluded:

PlotRange is selected automatically:

Use PlotRange to focus in on areas of interest:

Use RegionFunction to restrict the surface to a region given by inequalities:

Provide an explicit PlotStyle for the points:

Provide separate styles for different surfaces:

Add labels:

Color the surface by height:

Provide an interactive Tooltip for each point:

Provide an interactive Tooltip for the whole plot:

Fill below the points:

Color by scaled

,

, and

values:

Color by scaled

and

coordinates:

Use ColorData for predefined color gradients:

Named color gradients color in the

direction:

ColorFunction has higher priority than PlotStyle:

Use unscaled coordinates:

Unscaled coordinates are dependent on DataRange:

Arrays of height values are displayed against the number of elements in each direction:

Rescale to the sampling space:

Each dataset is scaled to the same domain:

Triples are interpreted as

,

,

coordinates:

Force interpretation as arrays of height values:

The dataset is normally interpreted as a list of

,

,

triples:

Fill to the bottom, using "stems":

Filling occurs along the region cut by the RegionFunction:

Fill surface 1 to the bottom with blue and surface 2 to the top with red:

Fill to the bottom with a variety of styles:

Fill to the plane

with orange below and blue above:

Fill to the plane

from above only:

Automatically compute the

range:

Use all points to compute the range:

Use an explicit

range to emphasize features:

Plot two point sets with different styles:

Different point sizes:

Plot over a region in

:

The region depends on DataRange:

Regions do not have to be connected:

Use any logical combination of conditions:

Applications (1)

Sampling points for a three-dimensional integration:

Neat Examples (2)

Quadruple helix:

Four conical spirals:

ListPlot3D Graphics3D Point ContourPlot3D ListPlot

Data Visualization

New in 6.0: Data Visualization

New in 6

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