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DiamondMatrix

DiamondMatrix[r]
gives a matrix whose elements are

in a diamond-shaped region that extends r index positions to each side, and are

otherwise.

gives a w×w matrix containing a diamond-shaped region of

yields an array whose elements are

in a diamond-shaped region that extends

index positions in the i

direction.

In DiamondMatrix[r] or DiamondMatrix the matrix or array is sized so as to just include all nonzero elements.

The region of s 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[All, {w₁, ..., w_n}] gives a array containing a diamond-shaped region that is as large as possible.

The parameter r need not be an integer; in general elements are if their Manhattan distance from the center is not more than .

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

Out[1]=

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: