ListDensityPlot3D
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ListDensityPlot3D
Updatedshow changes
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ListDensityPlot3D[{{x1,y1,z1,f1},…,{xn,yn,zn,fn}}]
generates a density plot with values fi at the specified points {xi,yi,zi}.
Details and Options
- ListDensityPlot3D is also known as volume map.
- ListDensityPlot3D works by interpolating the given data into a function
, then maps the value to a color 
and an opacity 
independently. - The opacity function
is typically used to make some range of values visible, while making some others invisible. - For regular data, the function
has value farr[[i,j,k]] at 
. - For irregular data,
has value fi at 
. - The plot visualizes the set
where 
is a color function, 
is an opacity function and the region reg is the Cartesian product 
for regular data and the convex hull of {{x1,y1,z1},…,{xn,yn,zn}} for irregular data. - farr should be an array of real numbers; positions where farr is not a real number are rendered transparently.
- ListDensityPlot3D[Tabular[…]cspec] extracts and plots values from the tabular object using the column specification cspec.
- The following forms of column specifications cspec are allowed for plotting tabular data:
-
{colx,coly,colz,colf} plot column f against columns x, y and z - ListDensityPlot3D linearly interpolates values so as to give color changes.
- ListDensityPlot3D is mainly intended for continuous values; ArrayPlot3D is intended for purely discrete values.
- ListDensityPlot3D has the same options as Graphics3D, with the following additions and changes: [List of all options]
-
Axes True whether to draw axes BoxRatios {1,1,1} bounding 3D box ratios ColorFunction Automatic how to color the plot ColorFunctionScaling True whether to scale the arguments to ColorFunction DataRange Automatic the range for x, y, and z values to assume MaxPlotPoints Automatic the maximum number of points to include OpacityFunction Automatic how to compute the opacity at each point OpacityFunctionScaling True whether to scale the arguments to OpacityFunction PerformanceGoal $PerformanceGoal aspects of performance to optimize PlotLegends None legends for color gradients PlotRange {Full,Full,Full,Automatic} range of f or other values to include PlotTheme $PlotTheme overall theme for the plot RegionFunction (True&) how to determine whether a point should be included ScalingFunctions None how to scale individual coordinates TargetUnits Automatic desired units to use - ColorFunction and OpacityFunction are supplied with a single argument, given by default by the scaled value of f.
- Typical settings for OpacityFunction include:
-
Automatic automatically determined None no opacity function, fully opaque α constant opacity Opacity[α] Interval[…] make values in the interval more opaque "Image3D" default opacity function used in Image3D func general opacity function - The arguments supplied to RegionFunction are x, y, z, and f.
- The setting DataRange->{{xmin,xmax},{ymin,ymax},{zmin,zmax}} specifies the ranges for x, y, and z coordinates to assume when given an array of f values only as input.
- For an farr of dimension {r,s,t}, the setting DataRangeAutomatic is equivalent to DataRange{{1,r},{1,s},{1,t}}.
- Possible settings for ScalingFunctions include:
-
{sx,sy,sz} scale x, y and z axes - Common built-in scaling functions s include:
-
"Log" 
log scale with automatic tick labeling "Log10" 
base-10 log scale with powers of 10 for ticks "SignedLog" 
log-like scale that includes 0 and negative numbers "Reverse" 
reverse the coordinate direction -
AlignmentPoint Center the default point in the graphic to align with AspectRatio Automatic ratio of height to width Axes True whether to draw axes AxesEdge Automatic on which edges to put axes AxesLabel None axes labels AxesOrigin Automatic where axes should cross AxesStyle {} graphics directives to specify the style for axes Background None background color for the plot BaselinePosition Automatic how to align with a surrounding text baseline BaseStyle {} base style specifications for the graphic Boxed True whether to draw the bounding box BoxRatios {1,1,1} bounding 3D box ratios BoxStyle {} style specifications for the box ClipPlanes None clipping planes ClipPlanesStyle Automatic style specifications for clipping planes ColorFunction Automatic how to color the plot ColorFunctionScaling True whether to scale the arguments to ColorFunction ContentSelectable Automatic whether to allow contents to be selected ControllerLinking False when to link to external rotation controllers ControllerPath Automatic what external controllers to try to use DataRange Automatic the range for x, y, and z values to assume Epilog {} 2D graphics primitives to be rendered after the main plot FaceGrids None grid lines to draw on the bounding box FaceGridsStyle {} style specifications for face grids FormatType TraditionalForm default format type for text ImageMargins 0. the margins to leave around the graphic ImagePadding All what extra padding to allow for labels, etc. ImageSize Automatic absolute size at which to render the graphic LabelStyle {} style specifications for labels Lighting Automatic simulated light sources to use MaxPlotPoints Automatic the maximum number of points to include Method Automatic details of 3D graphics methods to use OpacityFunction Automatic how to compute the opacity at each point OpacityFunctionScaling True whether to scale the arguments to OpacityFunction PerformanceGoal $PerformanceGoal aspects of performance to optimize PlotLabel None a label for the plot PlotLegends None legends for color gradients PlotRange {Full,Full,Full,Automatic} range of f or other values to include PlotRangePadding Automatic how much to pad the range of values PlotRegion Automatic final display region to be filled PlotTheme $PlotTheme overall theme for the plot PreserveImageOptions Automatic whether to preserve image options when displaying new versions of the same graphic Prolog {} 2D graphics primitives to be rendered before the main plot RegionFunction (True&) how to determine whether a point should be included RotationAction "Fit" how to render after interactive rotation ScalingFunctions None how to scale individual coordinates SphericalRegion Automatic whether to make the circumscribing sphere fit in the final display area TargetUnits Automatic desired units to use Ticks Automatic specification for ticks TicksStyle {} style specification for ticks TouchscreenAutoZoom False whether to zoom to fullscreen when activated on a touchscreen ViewAngle Automatic angle of the field of view ViewCenter Automatic point to display at the center ViewMatrix Automatic explicit transformation matrix ViewPoint {1.3,-2.4,2.} viewing position ViewProjection Automatic projection method for rendering objects distant from the viewer ViewRange All range of viewing distances to include ViewVector Automatic position and direction of a simulated camera ViewVertical {0,0,1} direction to make vertical
List of all options
Examples
open allclose allBasic Examples (2)Summary of the most common use cases
Plot the density for an array of values:
In[1]:=1
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https://wolfram.com/xid/0fq789bx2ax2g-dd41l8
In[2]:=2
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https://wolfram.com/xid/0fq789bx2ax2g-dh8jn0
Out[2]=2
Use a different color scheme and legend:
In[1]:=1
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https://wolfram.com/xid/0fq789bx2ax2g-obhdyh
In[2]:=2
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https://wolfram.com/xid/0fq789bx2ax2g-j5iqcs
Out[2]=2
Scope (16)Survey of the scope of standard use cases
Data (7)
For regular data consisting of 
values, the 
, 
, and 
data reflects its positions in the array:
In[1]:=1
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https://wolfram.com/xid/0fq789bx2ax2g-ffww4a
In[2]:=2
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https://wolfram.com/xid/0fq789bx2ax2g-inrbez
Out[2]=2
Provide explicit 
, 
, and 
data ranges by using DataRange:
In[3]:=3
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https://wolfram.com/xid/0fq789bx2ax2g-emccys
Out[3]=3
Give explicit 
, 
, 
, 
coordinates for points in a density:
In[1]:=1
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https://wolfram.com/xid/0fq789bx2ax2g-3s6wn
In[2]:=2
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https://wolfram.com/xid/0fq789bx2ax2g-epg87p
Out[2]=2
For irregular data 
, the 
, 
, and 
data ranges are inferred from data:
In[1]:=1
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https://wolfram.com/xid/0fq789bx2ax2g-i68p3f
In[2]:=2
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https://wolfram.com/xid/0fq789bx2ax2g-jshbpj
Out[2]=2
Use RegionFunction to constrain data inclusion more generally:
In[1]:=1
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https://wolfram.com/xid/0fq789bx2ax2g-32xq1
In[2]:=2
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https://wolfram.com/xid/0fq789bx2ax2g-bp7apd
Out[2]=2
Plot the density for an array of values given by SparseArray:
In[1]:=1
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https://wolfram.com/xid/0fq789bx2ax2g-f3uymb
In[2]:=2
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https://wolfram.com/xid/0fq789bx2ax2g-maur6q
Out[2]=2
Plot the density for an array of values given by QuantityArray:
In[1]:=1
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https://wolfram.com/xid/0fq789bx2ax2g-nkk95
In[2]:=2
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https://wolfram.com/xid/0fq789bx2ax2g-i4irn
Out[2]=2
Use ClipPlanes to specify one or several clipping planes. In this case, clip 
:
In[1]:=1
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https://wolfram.com/xid/0fq789bx2ax2g-budjl1
In[2]:=2
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https://wolfram.com/xid/0fq789bx2ax2g-ejfay2
Out[2]=2
Tabular Data (1)
In[2]:=2
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https://wolfram.com/xid/0fq789bx2ax2g-he4gp6
Out[2]=2
Plot tabular data in which each column represents data in the form {x,y,z,f}:
In[3]:=3
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https://wolfram.com/xid/0fq789bx2ax2g-fwhldp
Out[3]=3
Include a legend for the plot:
In[4]:=4
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https://wolfram.com/xid/0fq789bx2ax2g-inno50
Out[4]=4
Presentation (8)
Use PlotTheme to immediately get overall styling:
In[1]:=1
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https://wolfram.com/xid/0fq789bx2ax2g-m9tdc4
In[2]:=2
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https://wolfram.com/xid/0fq789bx2ax2g-y8rcdq
Out[2]=2
Use PlotLegends to get a color bar for the different values:
In[1]:=1
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https://wolfram.com/xid/0fq789bx2ax2g-dsmbi8
In[2]:=2
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https://wolfram.com/xid/0fq789bx2ax2g-i9z1q4
Out[2]=2
Control the display of axes with Axes:
In[1]:=1
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https://wolfram.com/xid/0fq789bx2ax2g-hfh2wv
In[2]:=2
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https://wolfram.com/xid/0fq789bx2ax2g-do93jz
Out[2]=2
Label axes using AxesLabel and the whole plot using PlotLabel:
In[1]:=1
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https://wolfram.com/xid/0fq789bx2ax2g-fjzemg
In[2]:=2
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https://wolfram.com/xid/0fq789bx2ax2g-7yglfq
Out[2]=2
Color the plot by the function values with ColorFunction:
In[1]:=1
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https://wolfram.com/xid/0fq789bx2ax2g-flc5ws
In[2]:=2
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https://wolfram.com/xid/0fq789bx2ax2g-j3f5p2
Out[2]=2
Use a custom opacity function to specify the opacity for each point volume:
In[1]:=1
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https://wolfram.com/xid/0fq789bx2ax2g-nvvgf2
In[2]:=2
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https://wolfram.com/xid/0fq789bx2ax2g-yec8g
Out[2]=2
TargetUnits specifies which units to use in the visualization:
In[1]:=1
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https://wolfram.com/xid/0fq789bx2ax2g-b3zsgj
In[2]:=2
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https://wolfram.com/xid/0fq789bx2ax2g-urblj5
Out[2]=2
Use ScalingFunctions in the x direction:
In[1]:=1
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https://wolfram.com/xid/0fq789bx2ax2g-3nou14
Out[1]=1
Options (38)Common values & functionality for each option
BoxRatios (3)
By default, the edges of the bounding box have the same length:
In[1]:=1
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https://wolfram.com/xid/0fq789bx2ax2g-ez6xox
In[2]:=2
✖
https://wolfram.com/xid/0fq789bx2ax2g-daxvab
Out[2]=2
Use BoxRatiosAutomatic to show the natural scale of the 3D coordinate values:
In[1]:=1
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https://wolfram.com/xid/0fq789bx2ax2g-nss17u
In[2]:=2
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https://wolfram.com/xid/0fq789bx2ax2g-f32maw
Out[2]=2
Specify the ratios between the bounding box lengths:
In[1]:=1
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https://wolfram.com/xid/0fq789bx2ax2g-ezhcgq
In[2]:=2
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https://wolfram.com/xid/0fq789bx2ax2g-b3qm23
Out[2]=2
ClipPlanes (3)
Use ClipPlanes to specify a clipping plane. In this case, clip 
:
In[1]:=1
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https://wolfram.com/xid/0fq789bx2ax2g-biecks
In[2]:=2
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https://wolfram.com/xid/0fq789bx2ax2g-u4trez
Out[2]=2
Specify several clip planes, in this case clipping 
and 
:
In[1]:=1
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https://wolfram.com/xid/0fq789bx2ax2g-f05eep
In[2]:=2
✖
https://wolfram.com/xid/0fq789bx2ax2g-9l9wut
Out[2]=2
Compare to the general RegionFunction:
In[1]:=1
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https://wolfram.com/xid/0fq789bx2ax2g-gbpqp6
In[2]:=2
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https://wolfram.com/xid/0fq789bx2ax2g-5ajcqr
Out[2]=2
ColorFunction (2)
Color by scaled f value at x, y, z coordinates:
In[1]:=1
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https://wolfram.com/xid/0fq789bx2ax2g-babmmy
In[2]:=2
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https://wolfram.com/xid/0fq789bx2ax2g-msece6
Out[2]=2
Use color functions from ColorData:
In[1]:=1
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https://wolfram.com/xid/0fq789bx2ax2g-d7pcu3
In[2]:=2
✖
https://wolfram.com/xid/0fq789bx2ax2g-cl0iil
Out[2]=2
ColorFunctionScaling (2)
Parameters to ColorFunction are normally scaled to be between 0 and 1:
In[1]:=1
✖
https://wolfram.com/xid/0fq789bx2ax2g-f9nrfb
Out[1]=1
Use unscaled coordinates by setting ColorFunctionScaling to False:
In[1]:=1
✖
https://wolfram.com/xid/0fq789bx2ax2g-ctf52
In[2]:=2
✖
https://wolfram.com/xid/0fq789bx2ax2g-ctzkd2
Out[2]=2
DataRange (2)
By default, the data range is taken to be the dimension of the array:
In[1]:=1
✖
https://wolfram.com/xid/0fq789bx2ax2g-bqgkjv
In[2]:=2
✖
https://wolfram.com/xid/0fq789bx2ax2g-k2najw
Out[2]=2
Explicitly specify the data range:
In[1]:=1
✖
https://wolfram.com/xid/0fq789bx2ax2g-hwwgp3
In[2]:=2
✖
https://wolfram.com/xid/0fq789bx2ax2g-jasyjv
Out[2]=2
MaxPlotPoints (1)
OpacityFunction (5)
OpacityFunction is Automatic by default:
In[1]:=1
✖
https://wolfram.com/xid/0fq789bx2ax2g-ig1e1w
In[2]:=2
✖
https://wolfram.com/xid/0fq789bx2ax2g-1rhyl
Out[2]=2
Use None to make the whole volume opaque:
In[1]:=1
✖
https://wolfram.com/xid/0fq789bx2ax2g-brectz
In[2]:=2
✖
https://wolfram.com/xid/0fq789bx2ax2g-in3sxv
Out[2]=2
Use a custom opacity function to specify the opacity for each point volume:
In[1]:=1
✖
https://wolfram.com/xid/0fq789bx2ax2g-bx68kv
In[2]:=2
✖
https://wolfram.com/xid/0fq789bx2ax2g-cvastz
Out[2]=2
Make values in the intervals 
and 
more opaque:
In[1]:=1
✖
https://wolfram.com/xid/0fq789bx2ax2g-7kuul
In[2]:=2
✖
https://wolfram.com/xid/0fq789bx2ax2g-d4as8j
Out[2]=2
Use a constant opacity Opacity[0.05]:
In[1]:=1
✖
https://wolfram.com/xid/0fq789bx2ax2g-cl19zn
In[2]:=2
✖
https://wolfram.com/xid/0fq789bx2ax2g-82ppdv
Out[2]=2
OpacityFunctionScaling (2)
By default, scaled values are used:
In[1]:=1
✖
https://wolfram.com/xid/0fq789bx2ax2g-bfaa9j
In[2]:=2
✖
https://wolfram.com/xid/0fq789bx2ax2g-cjj88v
Out[2]=2
Use unscaled density values by setting OpacityFunctionScaling to False:
In[1]:=1
✖
https://wolfram.com/xid/0fq789bx2ax2g-hs3vfj
In[2]:=2
✖
https://wolfram.com/xid/0fq789bx2ax2g-p1738n
Out[2]=2
PerformanceGoal (2)
Generate a higher-quality plot:
In[1]:=1
✖
https://wolfram.com/xid/0fq789bx2ax2g-epvl6y
In[2]:=2
✖
https://wolfram.com/xid/0fq789bx2ax2g-bh7jlg
Out[2]=2
Emphasize performance, possibly at the cost of quality:
In[1]:=1
✖
https://wolfram.com/xid/0fq789bx2ax2g-f84jkc
In[2]:=2
✖
https://wolfram.com/xid/0fq789bx2ax2g-b7opos
Out[2]=2
PlotLegends (2)
No legends are used by default:
In[1]:=1
✖
https://wolfram.com/xid/0fq789bx2ax2g-b9wdq2
In[2]:=2
✖
https://wolfram.com/xid/0fq789bx2ax2g-jd9hwq
Out[2]=2
Use PlotLegends->Automatic to show a legended plot:
In[1]:=1
✖
https://wolfram.com/xid/0fq789bx2ax2g-kmd4rs
In[2]:=2
✖
https://wolfram.com/xid/0fq789bx2ax2g-hn55ld
Out[2]=2
PlotRange (3)
By default, the full plot range is shown:
In[1]:=1
✖
https://wolfram.com/xid/0fq789bx2ax2g-kfjab0
In[2]:=2
✖
https://wolfram.com/xid/0fq789bx2ax2g-eetyzq
Out[2]=2
Use specific ranges to show more detail:
In[1]:=1
✖
https://wolfram.com/xid/0fq789bx2ax2g-d4kjt
In[2]:=2
✖
https://wolfram.com/xid/0fq789bx2ax2g-mmfi9u
Out[2]=2
Show only function values between 0 and 0.2:
In[1]:=1
✖
https://wolfram.com/xid/0fq789bx2ax2g-h1avil
In[2]:=2
✖
https://wolfram.com/xid/0fq789bx2ax2g-m0kjnp
Out[2]=2
In[3]:=3
✖
https://wolfram.com/xid/0fq789bx2ax2g-btfanf
Out[3]=3
PlotTheme (3)
Use a theme with detailed grid lines, ticks, and legends:
In[1]:=1
✖
https://wolfram.com/xid/0fq789bx2ax2g-buo0e4
In[2]:=2
✖
https://wolfram.com/xid/0fq789bx2ax2g-dal5aj
Out[2]=2
In[1]:=1
✖
https://wolfram.com/xid/0fq789bx2ax2g-629nd
In[2]:=2
✖
https://wolfram.com/xid/0fq789bx2ax2g-hg6xj
Out[2]=2
Compare different plot themes:
In[1]:=1
✖
https://wolfram.com/xid/0fq789bx2ax2g-bjo9az
In[2]:=2
✖
https://wolfram.com/xid/0fq789bx2ax2g-0rff5f
Out[2]=2
RegionFunction (3)
In[1]:=1
✖
https://wolfram.com/xid/0fq789bx2ax2g-vgr01
In[2]:=2
✖
https://wolfram.com/xid/0fq789bx2ax2g-hy1cva
Out[2]=2
In[1]:=1
✖
https://wolfram.com/xid/0fq789bx2ax2g-o7lvek
In[2]:=2
✖
https://wolfram.com/xid/0fq789bx2ax2g-129226
Out[2]=2
Regions do not have to be connected:
In[1]:=1
✖
https://wolfram.com/xid/0fq789bx2ax2g-bkt2h
In[2]:=2
✖
https://wolfram.com/xid/0fq789bx2ax2g-9m1wur
Out[2]=2
ScalingFunctions (4)
By default, plots have linear scales in all directions:
In[1]:=1
✖
https://wolfram.com/xid/0fq789bx2ax2g-fiz0pu
Out[1]=1
Create a plot with a log-scaled 
axis:
In[1]:=1
✖
https://wolfram.com/xid/0fq789bx2ax2g-len2qr
Out[1]=1
Use ScalingFunctions to scale to reverse the coordinate direction in the 
direction:
In[1]:=1
✖
https://wolfram.com/xid/0fq789bx2ax2g-yxqp8v
Out[1]=1
Use a scale defined by a function and its inverse:
In[1]:=1
✖
https://wolfram.com/xid/0fq789bx2ax2g-etsdt8
Out[1]=1
Applications (13)Sample problems that can be solved with this function
Elementary Functions (4)
In[1]:=1
✖
https://wolfram.com/xid/0fq789bx2ax2g-d7g2o
In[2]:=2
✖
https://wolfram.com/xid/0fq789bx2ax2g-c1wwxq
Out[2]=2
In[3]:=3
✖
https://wolfram.com/xid/0fq789bx2ax2g-kkv9gr
Out[3]=3
In[4]:=4
✖
https://wolfram.com/xid/0fq789bx2ax2g-lt4pqt
Out[4]=4
In[5]:=5
✖
https://wolfram.com/xid/0fq789bx2ax2g-ou5i2
Out[5]=5
In[1]:=1
✖
https://wolfram.com/xid/0fq789bx2ax2g-ca0wen
Out[1]=1
In[2]:=2
✖
https://wolfram.com/xid/0fq789bx2ax2g-p1zn1
Out[2]=2
Plot 
, a product of univariate functions:
In[1]:=1
✖
https://wolfram.com/xid/0fq789bx2ax2g-fyead
Out[1]=1
Plot 
and 
, univariate and bivariate functions:
In[2]:=2
✖
https://wolfram.com/xid/0fq789bx2ax2g-fyn8ax
Out[2]=2
In[3]:=3
✖
https://wolfram.com/xid/0fq789bx2ax2g-dvwij4
Out[3]=3
![sum_ialpha_i exp(-TemplateBox[{{p, -, {p, _, i}}}, Norm]^2)](Files/ListDensityPlot3D.en/60.png "sum_ialpha_i exp(-TemplateBox[{{p, -, {p, _, i}}}, Norm]^2)"){kind=small}
In[1]:=1
✖
https://wolfram.com/xid/0fq789bx2ax2g-l4zx6v
In[2]:=2
✖
https://wolfram.com/xid/0fq789bx2ax2g-detpz
Out[2]=2
Pick the points 
randomly in a box:
In[3]:=3
✖
https://wolfram.com/xid/0fq789bx2ax2g-fz9nz1
In[4]:=4
✖
https://wolfram.com/xid/0fq789bx2ax2g-9umep
Out[4]=4
Simulation Data (6)
Plot a probability density function of three variables:
In[1]:=1
✖
https://wolfram.com/xid/0fq789bx2ax2g-jojw2
Out[2]=2
In[3]:=3
✖
https://wolfram.com/xid/0fq789bx2ax2g-ns9dsl
Out[3]=3
Simulate the distribution and compute the bin counts:
In[4]:=4
✖
https://wolfram.com/xid/0fq789bx2ax2g-fxpkjs
In[5]:=5
✖
https://wolfram.com/xid/0fq789bx2ax2g-i49xzo
Out[5]=5
Simulate a random walk and show the path:
In[1]:=1
✖
https://wolfram.com/xid/0fq789bx2ax2g-ebtead
In[2]:=2
✖
https://wolfram.com/xid/0fq789bx2ax2g-du49fa
Out[2]=2
Bin the position that the walk hits in space and show the density:
In[3]:=3
✖
https://wolfram.com/xid/0fq789bx2ax2g-huzljd
In[4]:=4
✖
https://wolfram.com/xid/0fq789bx2ax2g-chvmfu
Out[4]=4
Plot the evolution of two-dimensional cellular automata:
In[1]:=1
✖
https://wolfram.com/xid/0fq789bx2ax2g-maffw
In[2]:=2
✖
https://wolfram.com/xid/0fq789bx2ax2g-c668oj
Out[2]=2
Generate a Menger sponge array:
In[1]:=1
✖
https://wolfram.com/xid/0fq789bx2ax2g-ho1851
In[2]:=2
✖
https://wolfram.com/xid/0fq789bx2ax2g-cl5qcb
Out[2]=2
Plot the evolution of a substitution system:
In[1]:=1
✖
https://wolfram.com/xid/0fq789bx2ax2g-ea0h3e
In[2]:=2
✖
https://wolfram.com/xid/0fq789bx2ax2g-hld65
Out[2]=2
Simulate a discrete diffusion model of a two-dimensional array of random values by averaging values of a radius-1 neighborhood in the array:
In[1]:=1
✖
https://wolfram.com/xid/0fq789bx2ax2g-1sg49
In[2]:=2
✖
https://wolfram.com/xid/0fq789bx2ax2g-bkilu9
Out[2]=2
Data Patterns (3)
Visualize the phase for a 3D discrete Fourier transform on data:
In[1]:=1
✖
https://wolfram.com/xid/0fq789bx2ax2g-bj2gjr
In[2]:=2
✖
https://wolfram.com/xid/0fq789bx2ax2g-ukh1s
Out[2]=2
Bin the position of atoms in a protein and show the density:
In[1]:=1
✖
https://wolfram.com/xid/0fq789bx2ax2g-lkn759
In[2]:=2
✖
https://wolfram.com/xid/0fq789bx2ax2g-drec83
In[3]:=3
✖
https://wolfram.com/xid/0fq789bx2ax2g-ctauzu
Out[3]=3
Compare with the molecule plot:
In[4]:=4
✖
https://wolfram.com/xid/0fq789bx2ax2g-iqr64u
Out[4]=4
Visualize MRI data from a brain:
In[1]:=1
✖
https://wolfram.com/xid/0fq789bx2ax2g-djfijw
In[2]:=2
✖
https://wolfram.com/xid/0fq789bx2ax2g-utje4
Out[2]=2
To get the same orientation used by Image3D, use the option DataReversed:
In[3]:=3
✖
https://wolfram.com/xid/0fq789bx2ax2g-c8q5c9
In[4]:=4
✖
https://wolfram.com/xid/0fq789bx2ax2g-bqwu74
Out[4]=4
Properties & Relations (6)Properties of the function, and connections to other functions
Use ListSliceDensityPlot3D for density plots over slice surfaces:
In[1]:=1
✖
https://wolfram.com/xid/0fq789bx2ax2g-eja0fp
In[2]:=2
✖
https://wolfram.com/xid/0fq789bx2ax2g-4kw5kb
Out[2]=2
Use ListDensityPlot for density plots in 2D:
In[1]:=1
✖
https://wolfram.com/xid/0fq789bx2ax2g-5blhs
In[2]:=2
✖
https://wolfram.com/xid/0fq789bx2ax2g-z3puov
Out[2]=2
Use DensityPlot3D for functions:
In[1]:=1
✖
https://wolfram.com/xid/0fq789bx2ax2g-msfbsm
In[2]:=2
✖
https://wolfram.com/xid/0fq789bx2ax2g-s3djgy
Out[2]=2
Use ListSliceContourPlot3D for contours over slice surfaces:
In[1]:=1
✖
https://wolfram.com/xid/0fq789bx2ax2g-fk7z3z
In[2]:=2
✖
https://wolfram.com/xid/0fq789bx2ax2g-e7t1tl
Out[2]=2
Use ListContourPlot3D for constant value surfaces:
In[1]:=1
✖
https://wolfram.com/xid/0fq789bx2ax2g-bmlypx
In[2]:=2
✖
https://wolfram.com/xid/0fq789bx2ax2g-4gfzgs
Out[2]=2
Use ArrayPlot3D for discrete data:
In[1]:=1
✖
https://wolfram.com/xid/0fq789bx2ax2g-dkwzj6
In[2]:=2
✖
https://wolfram.com/xid/0fq789bx2ax2g-pppbg1
Out[2]=2
Wolfram Research (2015), ListDensityPlot3D, Wolfram Language function, https://reference.wolfram.com/language/ref/ListDensityPlot3D.html (updated 2025).
✖
Wolfram Research (2015), ListDensityPlot3D, Wolfram Language function, https://reference.wolfram.com/language/ref/ListDensityPlot3D.html (updated 2025).Text
Wolfram Research (2015), ListDensityPlot3D, Wolfram Language function, https://reference.wolfram.com/language/ref/ListDensityPlot3D.html (updated 2025).
✖
Wolfram Research (2015), ListDensityPlot3D, Wolfram Language function, https://reference.wolfram.com/language/ref/ListDensityPlot3D.html (updated 2025).CMS
Wolfram Language. 2015. "ListDensityPlot3D." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2025. https://reference.wolfram.com/language/ref/ListDensityPlot3D.html.
✖
Wolfram Language. 2015. "ListDensityPlot3D." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2025. https://reference.wolfram.com/language/ref/ListDensityPlot3D.html.APA
Wolfram Language. (2015). ListDensityPlot3D. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/ListDensityPlot3D.html
✖
Wolfram Language. (2015). ListDensityPlot3D. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/ListDensityPlot3D.htmlBibTeX
✖
@misc{reference.wolfram_2025_listdensityplot3d, author="Wolfram Research", title="{ListDensityPlot3D}", year="2025", howpublished="\url{https://reference.wolfram.com/language/ref/ListDensityPlot3D.html}", note=[Accessed: 21-April-2025
]}BibLaTeX
✖
@online{reference.wolfram_2025_listdensityplot3d, organization={Wolfram Research}, title={ListDensityPlot3D}, year={2025}, url={https://reference.wolfram.com/language/ref/ListDensityPlot3D.html}, note=[Accessed: 21-April-2025
]}