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

Neil Sloane njasloane at gmail.com
Thu Aug 6 19:11:52 CEST 2015


Kerry, Yes! Good catch! Fixed.

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 Thu, Aug 6, 2015 at 12:19 PM, Kerry Mitchell <lkmitch at gmail.com> wrote:

> 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
> > >
> > >
> > >
> > >
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