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Topic: Tiling the plane with checkerboard patterns
Replies: 2   Last Post: Jul 16, 2010 8:39 AM

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 mark Posts: 206 Registered: 12/6/04
Re: Tiling the plane with checkerboard patterns
Posted: Jul 16, 2010 8:39 AM

>
> some results for n=7,8,9 are shown below:
>
> n=7
> Mat_7=[1 1 24 x x ...]
> Sum_7=[1 1 24 .......]
>
> n=8
> Mat_8=[1 1 33 x x ...]
> Sum_8=[1 1 63 .......]
>
> n=9
> Mat_9=[1 1 40 x x ...]
> Sum_9=[1 1 40 .......]
>
> The above results suggest that discrepancy has to
> with the parity of n and not with the primeness of n.
>
>
>
> Best regards,
> Avni

Great work Avni!. You found a way to eke out more information without having to use a supercomputer to work out n=6+ .
I think the pattern created by these number lists might be a route to a working formula.
Can you extent them a few more digits for 6,7,8,9?

Date Subject Author
7/15/10 Avni Pllana
7/16/10 mark