n-uniform tilings

Brian L. Galebach briang at SEGmail.com
Tue Apr 2 18:31:55 CEST 2002


Thank you very much for looking that up for me!  I guess my memory is just a
bit fuzzy for going 10 years back.  Anyway, I really appreciate you taking
the time to look that up.

Sincerely,
Brian Galebach

-----Original Message-----
From: Richard Guy [mailto:rkg at cpsc.ucalgary.ca]
Sent: Tuesday, April 02, 2002 11:03 AM
To: Brian L. Galebach
Cc: 'Number Sequence Mailing List'; briang at ProbabilitySports.com
Subject: Re: n-uniform tilings


Exercise *6 on p.70 is `Determine all the 3-uniform
tilings.

It says that

D. P. Chavey, Periodic tilings and tilings by
regular polygons, PhD thesis, Univ of Wisconsin,
Madison, 1984

determined that there are 61 tilings of this kind.

R.

On Tue, 2 Apr 2002, Brian L. Galebach wrote:

> Would anyone here happen to have access to a copy of "Tilings and
Patterns,
> an Introduction" by Branko Grunbaum and G.C. Shephard, published by
Freeman,
> 1989?  I last saw this book (I think it was this book) about 10 years ago,
> but the book is no longer in print and was not available at the libraries
or
> book stores where I tried looking for it.  I seem to barely recall that it
> gave 60 as the number of 3-uniform tilings, but I have recently found that
> there are 61 (A068599).  If anyone has a copy of this book, or knows where
I
> can get a copy, I would really appreciate verifying what number it
actually
> gives for 3-uniform.  Thank you greatly for your help.
>
> Sincerely,
> Brian Galebach
> briang at ProbabilitySports.com
>
>






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