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^(th) direction.

DetailsDetails

  • 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.

ExamplesExamplesopen allclose all

Basic Examples  (1)Basic Examples  (1)

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

In[1]:=
Click for copyable input
Out[1]=
Introduced in 2008
(7.0)