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Fractal tilings derived from complex bases

Published online by Cambridge University Press:  01 August 2016

Sara Hagey and
Judith Palagallo
Sara Hagey
Affiliation:
Department of Mathematics and Computer Science, University of Akron, Akron, OH 44325-4002, USA. e-mails: shagey@mr.marconimed.com, palagallo@uakron.edu
Judith Palagallo
Affiliation:
Department of Mathematics and Computer Science, University of Akron, Akron, OH 44325-4002, USA. e-mails: shagey@mr.marconimed.com, palagallo@uakron.edu
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Extract

Tilings have appeared in human activities since prehistoric times. The mathematical theory of tilings contains a rich supply of interesting and sometimes surprising facts as well as many challenging problems. A vast literature exists on the subject of tiling, and almost every imaginable variant of the question ‘How can a space be tiled by replicas of a set?’ has been discussed. Figure 1 shows a tiling of a portion of the plane where each tile is of the same size and shape and has a fractal boundary.

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Type
Articles
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The Mathematical Gazette , Volume 85 , Issue 503 , July 2001, pp. 194 - 201
Copyright
Copyright © The Mathematical Association 2001

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