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BoxMatrix—Wolfram Documentation

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BoxMatrix[r]

gives a matrix of s.

BoxMatrix[r,w]

gives a block of s centered in a w×w matrix of s.

BoxMatrix[{r1,r2,…},…]

gives a array of s.

Details
Details and Options Details and Options
Examples  
Basic Examples  
Scope  
Neat Examples  
See Also
Related Guides
History
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BoxMatrix

BoxMatrix[r]

gives a matrix of s.

BoxMatrix[r,w]

gives a block of s centered in a w×w matrix of s.

BoxMatrix[{r1,r2,…},…]

gives a array of s.

Details

  • BoxMatrix[r] gives a square pattern of s extending r positions from the center.
  • The parameter r need not be an integer; elements are if their chessboard distance from the center is not more than |r+1/2|.
  • BoxMatrix[All,w] gives a w×w matrix containing a box shape that is as large as possible.
  • BoxMatrix[…,{w1,w2,…}] gives a w1×w2×… array.
  • BoxMatrix[{r1,…,rn},w] gives a w×…×w array.
  • BoxMatrix[All,{w1,…,wn}] gives a w1×…×wn array containing a box-shaped region that is as large as possible.

Examples

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Basic Examples  (1)

This computes and plots a box:

Wolfram Language code: ArrayPlot[BoxMatrix[3], Mesh -> All]

Scope  (4)

Put a box inside a bigger matrix:

Wolfram Language code: ArrayPlot[BoxMatrix[2, {9, 9}], Mesh -> All]

Extend the box to the boundaries of the matrix:

Wolfram Language code: ArrayPlot[BoxMatrix[All, {8, 8}], Mesh -> All]

Automatically choose a width to just fit the box matrix:

Wolfram Language code: ArrayPlot[BoxMatrix[{1, 1}, {5, All}], Mesh -> All]

Extend the box to the given width, and automatically choose the height:

Wolfram Language code: ArrayPlot[BoxMatrix[{2, All}, {All, 6}], Mesh -> All]

Neat Examples  (1)

Visualize a 5×5×5 box matrix:

Wolfram Language code: Graphics3D[Cuboid /@ Position[BoxMatrix[All, {5, 5, 5}], 1]]
Wolfram Research (2008), BoxMatrix, Wolfram Language function, https://reference.wolfram.com/language/ref/BoxMatrix.html.

Text

Wolfram Research (2008), BoxMatrix, Wolfram Language function, https://reference.wolfram.com/language/ref/BoxMatrix.html.

CMS

Wolfram Language. 2008. "BoxMatrix." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/BoxMatrix.html.

APA

Wolfram Language. (2008). BoxMatrix. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/BoxMatrix.html

BibTeX

@misc{reference.wolfram_2026_boxmatrix, author="Wolfram Research", title="{BoxMatrix}", year="2008", howpublished="\url{https://reference.wolfram.com/language/ref/BoxMatrix.html}", note=[Accessed: 14-November-2026]}

BibLaTeX

@online{reference.wolfram_2026_boxmatrix, organization={Wolfram Research}, title={BoxMatrix}, year={2008}, url={https://reference.wolfram.com/language/ref/BoxMatrix.html}, note=[Accessed: 14-November-2026]}