[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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