[seqfan] Re: How many ways to dissect a square into 4 congruent pieces

Benoît Jubin benoit.jubin at gmail.com
Thu May 14 19:05:35 CEST 2015


Is there an OEIS entry for the case of 2 pieces ? A closed form should be
easier to find, especially if the following is true:

Can one prove that in any configurations, the 2 pieces share the center of
the chessboard? and even that the two pieces are symmetric to each other
through that center ?

Benoît

On Thu, May 14, 2015 at 5:14 PM, Giovanni Resta <g.resta at iit.cnr.it> wrote:

> On 05/13/2015 07:56 PM, Neil Sloane wrote:
>
>> ...In any case, could you (Giovanni, perhaps) create
>> a new entry for your results (and tell me the A-number)?
>>
>
> I have created the
> https://oeis.org/draft/A257952
>
> in which I have copied also the letter and the paper
> from Popular Computing. In both cases I have converted the images
> to one single PDF to reduce the size and number of files.
> I hope this is not a problem.
>
> I have also uploaded a complete figure (766 squares) for the 8x8 case.
>
> I tried to explain in the comment which dissections are considered
> distinct, following the spirit of Parkin's letter.
> Almost surely the form can be improved.
>
> Giovanni
>
>
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