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

Kerry Mitchell lkmitch at gmail.com
Thu Aug 6 18:19:44 CEST 2015


In the descriptions for A229215 and A229214, shouldn't "sqrt(3)" be
"sqrt(3)/2" in both places?

Kerry

On Thu, Aug 6, 2015 at 8:31 AM, Neil Sloane <njasloane at gmail.com> wrote:

> 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/
> >
>
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>
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>



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