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DiamondMatrix

DiamondMatrix[r]
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 r_i index positions in the i

direction.

In DiamondMatrix[r] 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 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 w₁×...×w_n 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 .

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

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: