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ArrayPlot[array]
generates a plot in which the values in an array are shown in a discrete array of squares.
Details and OptionsGive explicit color directives to specify colors for individual cells:
Use a standard blend as a color function:
Scope (7)By default, absolute values go from white to black:
Unknown or symbolic values are shown dark red:
Specify explicit colors for each cell:
Plot a ragged array, padding on the right:
Cells with value None are rendered like the background:
Options (96) AspectRatio (2) Axes (4)By default, ArrayPlot uses a frame instead of axes:
Use AxesOrigin to specify where the axes intersect:
Turn each axis on individually:
AxesLabel (3)No axes labels are drawn by default:
AxesOrigin (2)The position of the axes is determined automatically:
Specify an explicit origin for the axes:
AxesStyle (4)Change the style for the axes:
Specify the style of each axis:
Use different styles for the ticks and the axes:
Use different styles for the labels and the axes:
Background (4)Background is normally visible only around the edges:
The background "shows through" whenever an explicit entry is None:
Background also by default shows through for values outside the plot range:
ClippingStyle overrides background color:
ClippingStyle (3)The default is to show values outside the plot range in the background color:
Show values outside the plot range in red:
Show low values in blue and high values in red:
ColorFunction (5)Map values from 0 to 1 onto colors according to Hue:
Use a pure function as the color function:
Use a named color gradient from ColorData:
Show elements with value 1 as black and all others as white:
With ColorFunctionScaling->True, the values are first scaled to lie between 0 and 1:
ColorRules (6)Specify color rules for explicit values or patterns:
ColorFunction is used if no color rules apply:
The array can contain symbolic values:
Implement a "default color" by adding a rule for _:
Use any patterns in ColorRules:
Rules are used in the order given:
DataReversed (4)The frame ticks give the original row numbers:
Reverse the order of rows and columns:
Epilog (3)Use Epilog to superimpose other graphics:
The graphics can be translucent:
Epilog uses the standard Graphics coordinate system:
Frame (4)ArrayPlot uses a frame by default:
Use FrameFalse to turn off the frame:
Draw a frame on the left and right edges:
Draw a frame on the left and bottom edges:
FrameLabel (3)Place a label along the bottom frame of a plot:
Place labels on each of the edges in the frame:
Use a customized style for both labels and frame tick labels:
FrameStyle (2)Specify the style of the frame:
Specify style for each frame edge:
FrameTicks (13)Frame ticks are not included by default:
Use frame ticks on the bottom edge:
By default, none of the edges have either tick marks or tick labels:
Use automatic tick placements to include tick labels on all edges:
Use FrameTicksAll to include tick labels on all edges:
Place tick marks at specific positions:
Draw frame tick marks at the specified positions with specific labels:
Specify the lengths for tick marks as a fraction of the graphics size:
Use different sizes in the positive and negative directions for each tick mark:
Specify a style for each frame tick:
Construct a function that places frame ticks at the midpoint and extremes of the frame edge:
Frame ticks without a visible frame:
With a mesh included, Frame->True is required for frame ticks to be drawn:
FrameTicksStyle (3)By default, the frame ticks and frame tick labels use the same styles as the frame:
Specify an overall style for the ticks, including the labels:
Use a different style for the different frame edges:
GridLines (3)Draw grid lines at specified positions:
ImageSize (7)Use named sizes such as Tiny, Small, Medium and Large:
Specify the width of the plot:
Specify the height of the plot:
Allow the width and height to be up to a certain size:
Specify the width and height for a graphic, padding with space if necessary:
Setting AspectRatioFull will fill the available space:
Use maximum sizes for the width and height:
Use ImageSizeFull to fill the available space in an object:
Specify the image size as a fraction of the available space:
MaxPlotPoints (1)Use MaxPlotPoints to limit the number of elements explicitly plotted in each direction:
Mesh (7)Insert mesh lines between all cells:
Insert 15 row mesh lines and 5 column mesh lines:
Insert mesh lines around the first 10 columns:
Use a sequence of colors for the mesh lines:
Insert mesh lines after the first and second rows:
Use MeshAutomatic to draw mesh for the data in a ragged array:
Use Mesh"Nonzero" to draw mesh lines around nonzero cells:
MeshStyle (2) PlotRange (5)Plot only elements with values up to 3, leaving the rest white:
The first two entries in PlotRange specify the range of rows and columns to include:
With specific plot range {amin,amax}, the colors range from white at amin to black at amax:
PlotTheme (1)Use a theme with detailed ticks and a legend:
Move the legend below the plot:
Applications (11)Plot a two-color cellular automaton evolution:
Plot a three-color cellular automaton evolution:
Use colors rather than gray levels:
Plot the imaginary parts of a Vandermonde matrix for a discrete Fourier transform:
Plot the inverse of a matrix, shading according to absolute value:
Show positive entries as black and others as yellow:
Plot a table of values of five sine waves in random directions:
Use a special color for non-numeric data:
Digits of powers of 3 in base 2:
Plot a sparse matrix in black and white:
Properties & Relations (8)An empty array yields a blank picture:
Grid arranges elements the same way as ArrayPlot:
Raster arranges elements upside down and with colors reversed relative to ArrayPlot:
Make the array be shown the same way as in ArrayPlot:
Use ArrayPlot3D for 3D arrays of data:
Use MatrixPlot when entries have a big range and many different values:
Use ReliefPlot for medical and geographic data:
Use ListDensityPlot for structured or unstructured data sampled from continuous densities:
Use GraphPlot for visualizing adjacency matrices:
Possible Issues (2)ArrayPlot may not be able to distinguish between large numbers of different values:
Use MatrixPlot instead (or provide a custom ColorFunction):
Entries of very small relative absolute values may not be differentiable from zero:
MatrixPlot scales entries so that entries with small relative absolute values can still be seen:
Neat Examples (2)Plot the Sin function at integer points:
Interactively map GCD values onto colors using Hue:
Wolfram Research (2004), ArrayPlot, Wolfram Language function, https://reference.wolfram.com/language/ref/ArrayPlot.html (updated 2021). TextWolfram Research (2004), ArrayPlot, Wolfram Language function, https://reference.wolfram.com/language/ref/ArrayPlot.html (updated 2021).
CMSWolfram Language. 2004. "ArrayPlot." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2021. https://reference.wolfram.com/language/ref/ArrayPlot.html.
APAWolfram Language. (2004). ArrayPlot. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/ArrayPlot.html
BibTeX@misc{reference.wolfram_2025_arrayplot, author="Wolfram Research", title="{ArrayPlot}", year="2021", howpublished="\url{https://reference.wolfram.com/language/ref/ArrayPlot.html}", note=[Accessed: 12-July-2025 ]}
BibLaTeX@online{reference.wolfram_2025_arrayplot, organization={Wolfram Research}, title={ArrayPlot}, year={2021}, url={https://reference.wolfram.com/language/ref/ArrayPlot.html}, note=[Accessed: 12-July-2025 ]}
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