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BUILT-IN MATHEMATICA SYMBOL
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.
DiamondMatrix[r, w]
gives a w×w matrix containing a diamond-shaped region of 
s.
DiamondMatrix[{r1, r2, ...}, ...]
yields an array whose elements are 
in a diamond-shaped region that extends 
index positions in the i
direction.
Details
- The diamond of
s is always at the center of the region. - In DiamondMatrix[r] or DiamondMatrix[{r1, ...}] 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[..., {w1, w2, ...}] gives a
array. - DiamondMatrix[{r1, ..., rn}, w] gives a
array. - DiamondMatrix[All, {w1, ..., wn}] 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 
. - For integer r, DiamondMatrix[r] yields a
×
matrix.
Examplesopen all
Basic Examples (1)
This computes and plots a square diamond-shaped matrix of radius 10:
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New in 7
