[seqfan] Re: Weaving

Neil Sloane njasloane at gmail.com
Thu Nov 24 23:53:28 CET 2016


There are many sequences in the OEIS arising from patterns in cloth and
weaving, etc.

See for example A193138, which gives
no. of satins, and where there is this reference
B. Gr├╝nbaum and G. C. Shephard, Satins and *twills*: an introduction to the
geometry of fabrics <http://www.jstor.org/stable/2690105>, Math. Mag., 53
(1980), 139-161. See Theorem 5, p. 152.

Another is A005441



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, Nov 24, 2016 at 2:56 PM, Olivier Gerard <olivier.gerard at gmail.com>
wrote:

> Lucas (of Lucas sequence) was interested in this topic, and in
> particular techniques for satin fabric.
>
> You might be interested by these links (in french)
>
> http://culturemath.ens.fr/histoire%20des%20maths/htm/
> textile/index_textiles.htm
>
> http://wims.unice.fr/wims/fr_tool~weaving~weaver.fr.html
>
>
> On Thu, Nov 24, 2016 at 4:58 PM, David Wilson <davidwwilson at comcast.net>
> wrote:
>
> > I was looking at my daughter's awesome cherry pie crust latticework, and
> > being the nerd I am, I wondered if there is a mathematical theory of
> > weaving, e.g., thread patterns in cloth, chain link fence, chain main,
> > chair
> > caning, and other 2d-surfaces.
> >
> > I would think theory would bump up against topology, knot and braid
> theory,
> > lattice theory and tessellations, but does it fall completely under any
> of
> > these areas?
> >
> >
> > --
> > Seqfan Mailing list - http://list.seqfan.eu/
> >
>
> --
> Seqfan Mailing list - http://list.seqfan.eu/
>



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