[seqfan] Re: Variation on an infinite Sudoku-type array

Kerry Mitchell lkmitch at gmail.com
Sun Jul 3 03:53:50 CEST 2016


Hi Zak,

I'm sorry for not acknowledging your idea.  I had already started looking
at the spiral when I saw your post, so we're both geniuses!  :-)  I'm glad
you like the figures.

Kerry

On Sat, Jul 2, 2016 at 4:30 PM, Zak Seidov <seqfan at list.seqfan.eu> wrote:

>
> Dear Kerry,
> This is exactly my "old spiral",
> see my post to [seqfan] 30 june, 14:05 .
> Apparently nobody noticed it in the "hectic" thread
> "Sudoku-type array":(
>
> Zak
> PS But you've calculated great figures!
> While I just mentioned the "idea".
> Congrats!
>
>
> >Суббота,  2 июля 2016, 22:36 +03:00 от Kerry Mitchell <lkmitch at gmail.com
> >:
> >
> >Hi all,
> >
> >This is a spinoff from the "A269526, an infinite Sudoku-type array"
> thread.
> >
> >I was intrigued by the idea in the original thread and wanted to try some
> >variations.  I didn't like the antidiagonals approach because of the break
> >at the end of a line, jumping down to the next line.  So I tried with a
> >square spiral (ala Ulam spiral), so that each newly populated cell is
> >adjacent to the previous cell.  Here are the central 121 cells:
> >
> >09  16  02  04  07  14  11  12  01  05  08
> >17  08  15  14  13  12  09  10  06  07  03
> >01  02  04  11  10  03  08  07  09  13  15
> >08  09  07  03  05  06  01  02  04  12  11
> >11  12  08  01  02  04  03  06  05  10  14
> >15  07  06  05  03  01  02  04  08  11  12
> >14  10  03  02  04  05  06  01  07  09  13
> >07  11  09  06  01  02  04  05  03  08  10
> >04  13  05  07  08  09  10  11  12  06  01
> >12  14  10  09  06  13  05  03  15  16  07
> >10  15  01  12  16  08  14  13  11  18  17
> >
> >The sequence begins with "01" in the center.  Here's a list of those
> >values, in order:
> >
> >1
> >2
> >3
> >4
> >2
> >3
> >4
> >5
> >6
> >1
> >4
> >6
> >2
> >1
> >6
> >5
> >3
> >1
> >5
> >2
> >6
> >1
> >2
> >4
> >5
> >3
> >7
> >8
> >5
> >4
> >9
> >7
> >8
> >3
> >10
> >11
> >4
> >7
> >8
> >6
> >3
> >9
> >5
> >7
> >8
> >9
> >10
> >11
> >12
> >6
> >8
> >9
> >11
> >10
> >12
> >13
> >7
> >6
> >10
> >9
> >12
> >13
> >14
> >15
> >8
> >2
> >9
> >12
> >7
> >10
> >11
> >13
> >14
> >10
> >9
> >6
> >13
> >5
> >3
> >15
> >16
> >7
> >1
> >10
> >13
> >12
> >14
> >11
> >15
> >3
> >8
> >5
> >1
> >12
> >11
> >14
> >7
> >4
> >2
> >16
> >9
> >17
> >1
> >8
> >11
> >15
> >14
> >7
> >4
> >12
> >10
> >15
> >1
> >12
> >16
> >8
> >14
> >13
> >11
> >18
> >17
> >
> >And here are a couple of images of the sequence.  In the first, the colors
> >represent the values, from black (small) to white (large).  In the second,
> >values <= 100 are black and those > 100 are white.
> >
> >http://www.kerrymitchellart.com/temp/spiral-low.jpg
> >http://www.kerrymitchellart.com/temp/spiral-high.jpg
> >
> >Kerry
> >
> >--
> >Seqfan Mailing list -  http://list.seqfan.eu/
>
>
> --
> Seqfan Mailing list - http://list.seqfan.eu/
>


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