# DiamondMatrix

gives a matrix whose elements are 1 in a diamond-shaped region that extends r index positions to each side, and are 0 otherwise.

DiamondMatrix[r,w]

gives a w×w matrix containing a diamond-shaped region of 1s.

DiamondMatrix[{r1,r2,},]

yields an array whose elements are 1 in a diamond-shaped region that extends ri index positions in the i direction.

# Details

• The diamond of 1s is always at the center of the region.
• In or DiamondMatrix[{r1,}] the matrix or array is sized so as to just include all nonzero elements.
• The region of 1s is taken to be the best discrete approximation to a diamond-shaped region possible given the size of the matrix.
• DiamondMatrix[All,w] gives a w×w matrix containing a diamond shape that is as large as possible.
• DiamondMatrix[,{w1,w2,}] gives a w1×w2× array.
• DiamondMatrix[{r1,,rn},w] gives a w××w array.
• DiamondMatrix[All,{w1,,wn}] gives a w1××wn array containing a diamond-shaped region that is as large as possible.
• The parameter r need not be an integer; in general elements are 1 if their Manhattan distance from the center is not more than .
• For integer r, yields a matrix.

# Examples

open allclose all

## Basic Examples(1)

This computes and plots a square diamond-shaped matrix of radius 10:

## Scope(5)

Create a rectangular diamond-shaped matrix:

Put a diamond inside a bigger matrix:

Extend the diamond to the boundaries of the matrix:

Automatically choose an odd width to just fit the diamond:

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

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

#### Text

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

#### CMS

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

#### APA

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

#### BibTeX

@misc{reference.wolfram_2024_diamondmatrix, author="Wolfram Research", title="{DiamondMatrix}", year="2008", howpublished="\url{https://reference.wolfram.com/language/ref/DiamondMatrix.html}", note=[Accessed: 29-May-2024 ]}

#### BibLaTeX

@online{reference.wolfram_2024_diamondmatrix, organization={Wolfram Research}, title={DiamondMatrix}, year={2008}, url={https://reference.wolfram.com/language/ref/DiamondMatrix.html}, note=[Accessed: 29-May-2024 ]}