[seqfan] Re: Bear's paw sequence

Rick Shepherd rlshepherd2 at gmail.com
Mon Aug 30 00:05:13 CEST 2010

Hi Jeremy,

This is not an area with which I'm very familiar.  I do, though, remember
briefly scanning a (new?) mathematical
article within the past year or so that dealt specifically in detail with
the mathematics behind quilt patterns,
classifying them, and only that.  All else I can remember for sure is that
the article was lengthy and written by
a woman -- not very helpful for finding it again!  (I've spent,
inexplicably, a couple of hours trying to find it anyway
-- in vain.)  I can't say for certain whether it mentioned the specific
patterns you've described.

The following 1977 article by Grunbaum and Shephard, "Tilings by Regular
Polygons," is the closest I've come:
I believe it's cited by the article I can't find.  It seems to be cited
often.  It mentions at least the "windmill blades"
quilt pattern.  (Btw, while doing this search, I believe I also encountered
an unknown-to-me, abstract mathematical
object (which is possibly irrelevant to this discussion) known as a 'quilt'.

Maybe this will somehow be helpful in inspiring other sequences or helping
you find more recent references.


On Sun, Aug 29, 2010 at 1:34 PM, Jeremy Gardiner <
jeremy.gardiner at btinternet.com> wrote:

> <snip by RLS>

> Doubtless these designs and the corresponding sequences have been studied
> before by someone - does anybody know of references to these?
> Jeremy

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