there is

,./ 2 8 $ i. 4 4






On Friday, July 1, 2022, 09:33:48 p.m. EDT, Thomas McGuire 
<tmcguir...@gmail.com> wrote: 





I was playing with the Window driver and trying to paint the toucan.bmp to the 
window I created. Expanding on that I wanted to pain a panel of toucan.bmp 
bitmaps to the background. Now I was able to glom together the bitmaps into a 2 
x 2 panel of bitmaps, but it seems I 
should be able to just specify how many rows and columns of matrices I want and 
let J handle the complexity.

I can assign demensions easily and get the structure of what I want through 
boxing. For this I will use a simple square matrix: 

  i. 4 4
0  1  2  3
4  5  6  7
8  9 10 11
12 13 14 15

If I box this I can dial up any table of boxes using shape:

    <i. 4 4
┌───────────┐
│ 0  1  2  3│
│ 4  5  6  7│
│ 8  9 10 11│
│12 13 14 15│
└───────────┘

Then using shape you get:

    2 2$<i.4 4
┌───────────┬───────────┐
│ 0  1  2  3│ 0  1  2  3│
│ 4  5  6  7│ 4  5  6  7│
│ 8  9 10 11│ 8  9 10 11│
│12 13 14 15│12 13 14 15│
├───────────┼───────────┤
│ 0  1  2  3│ 0  1  2  3│
│ 4  5  6  7│ 4  5  6  7│
│ 8  9 10 11│ 8  9 10 11│
│12 13 14 15│12 13 14 15│
└───────────┴───────────┘

I want those to squish together to form an 8x8 square matrix as it appears 
right now. I came up with the following: I raze the structure (with ‘;’) and 
then insert a splice (‘,.’) using the ‘/‘ adverb:

    ,./;"1(2 2$<i. 4 4)
0  1  2  3  0  1  2  3
4  5  6  7  4  5  6  7
8  9 10 11  8  9 10 11
12 13 14 15 12 13 14 15
0  1  2  3  0  1  2  3
4  5  6  7  4  5  6  7
8  9 10 11  8  9 10 11
12 13 14 15 12 13 14 15

This works with the only caveat that if you specify a rectangular matrix as the 
final form the final dimensions are the transpose of what you would expect 
(minor detail). 

I am wondering is there a way to duplicate a seed matrix and give it the form I 
want without resorting to boxing. My previous attempts at this failed.

Also is there a way to unbox and have this retain its current structure? I 
failed at trying different ranks with raze (‘;’) and unbox (‘>’) and getting 
anything close to what I have now.

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