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Patch-determined tilings

Published online by Cambridge University Press:  22 September 2016

B. Grünbaum  and
G. C. Shephard
B. Grünbaum
Affiliation:
University of Washington, Seattle, Wash. 98105, USA
G. C. Shephard
Affiliation:
University of British Columbia, Vancouver V6T 1W5, Canada and, University of East Anglia, Norwich NR4 7TJ
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Extract

A tiling of the plane is a family of sets, called tiles, that cover the plane without gaps or overlaps. Usually we are concerned with tilings whose tiles are of a small number of different shapes; familiar examples are the regular and uniform tilings (see, for example, [1]).

Although the mathematical theory of tiling is very old, it still contains a rich supply of interesting and challenging problems. The purpose of this article is to describe some of these. In many cases the mathematical aspect is enhanced by the aesthetic appeal of the resulting tilings.

Type
Research Article
Information
The Mathematical Gazette , Volume 61 , Issue 415 , March 1977 , pp. 31 - 38
Copyright
Copyright © Mathematical Association 1977

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References

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