n-uniform tilings

Richard Guy rkg at cpsc.ucalgary.ca
Tue Apr 2 18:02:52 CEST 2002


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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