[seqfan] Re: A229215 Gosper Curve, major revision or new seq?

[Neil Sloane]

Brad, better to create a new entry or entries.

Note that the OEIS uses ATLAS notation: the dihedral group of order 6 is
written D_6 (not D_3). It is always best to spell it out by saying " ...
where D_x denotes the dihedral group of order x ... "

Best regards
Neil

Neil J. A. Sloane, President, OEIS Foundation.
11 South Adelaide Avenue, Highland Park, NJ 08904, USA.
Also Visiting Scientist, Math. Dept., Rutgers University, Piscataway, NJ.
Phone: 732 828 6098; home page: http://NeilSloane.com
Email: njasloane at gmail.com


On Wed, Aug 5, 2015 at 6:07 AM, Brad Klee <bradklee at gmail.com> wrote:

> Hi seqfans,
>
> Take a look at this sequence for the Z-->Z^2 Gosper Curve:
>
> http://oeis.org/A229215
>
> First of all, Bos has done better than most at defining the function using
> vector notation, which eliminates annoying + and - signs.
>
> But vector notation entails choice of coordinates. Bos does not take
> advantage of subgroup symmetry.
>
> I would like to include better and computable definitions for a similar
> sequence that uses D3 symmetric translation generators.
>
> These definitions generate sign and magnitude separately, which I doubt
> can be done using the asymmetric generators. It would be nice to have these
> as two new sequences.
>
> As is, the sequence is not wrong, but the problems with signs are
> significant. The sign pattern should be uniform on 6 of the 7Z cosets, but
> it is disordered.
>
> Is this a case where I should edit or a case where I should make a new
> entry?
>
> Thanks,
>
> Brad
>
>
>
>
> _______________________________________________
>
> Seqfan Mailing list - http://list.seqfan.eu/
>