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

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Basic Examples(1)

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

 In[1]:=
 Out[1]=