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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.
DiamondMatrix
gives a w×w matrix containing a diamond-shaped region of s.
DiamondMatrix
yields an array whose elements are in a diamond-shaped region that extends index positions in the i^(th) direction.
  • The diamond of s is always at the center of the region.
  • 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, ..., 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 .
This computes and plots a square diamond-shaped matrix of radius 10:
This computes and plots a square diamond-shaped matrix of radius 10:
In[1]:=
Click for copyable input
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:
New in 7