BoxMatrix

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`BoxMatrix`

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BoxMatrix[r]

gives a matrix of s.

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BoxMatrix[r,w]

gives a block of s centered in a w×w matrix of s.

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BoxMatrix[{r₁,r₂,…},…]

gives a array of s.

Details

BoxMatrix[r] gives a square pattern of s extending r positions from the center.
The parameter r need not be an integer; elements are if their chessboard distance from the center is not more than |r+1/2|.
BoxMatrix[All,w] gives a w×w matrix containing a box shape that is as large as possible.
BoxMatrix[…,{w₁,w₂,…}] gives a w₁×w₂×… array.
BoxMatrix[{r₁,…,r_n},w] gives a w×…×w array.
BoxMatrix[All,{w₁,…,w_n}] gives a w₁×…×w_n array containing a box-shaped region that is as large as possible.

Examples

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Basic Examples (1)Summary of the most common use cases

This computes and plots a box:

In[1]:=1

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https://wolfram.com/xid/0j47tkte-q7kw9q

Out[1]=1

Scope (4)Survey of the scope of standard use cases

Put a box inside a bigger matrix:

In[2]:=2

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https://wolfram.com/xid/0j47tkte-xjedjo

Out[2]=2

Extend the box to the boundaries of the matrix:

In[1]:=1

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https://wolfram.com/xid/0j47tkte-qazkdu

Out[1]=1

Automatically choose a width to just fit the box matrix:

In[1]:=1

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https://wolfram.com/xid/0j47tkte-145bbn

Out[1]=1

Extend the box to the given width, and automatically choose the height:

In[1]:=1

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https://wolfram.com/xid/0j47tkte-fultpq

Out[1]=1

Neat Examples (1)Surprising or curious use cases

In[1]:=1

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https://wolfram.com/xid/0j47tkte-teajz5

Out[1]=1

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