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A family of golden triangle tile patterns

Published online by Cambridge University Press:  01 August 2016

Robert G. Clason
Robert G. Clason*
Affiliation:
Department of Mathematics, Central Michigan University, Mount Pleasant, Michigan 48859 USA
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Extract

An intriguing family of tile patterns can be generated by applying the self-replicating geometry of a pair of isosceles triangles called the golden triangles. The patterns have an aesthetic appeal and have geometric properties which might be investigated further. The family includes patterns which were discovered by Roger Penrose in the 1970s, and which received much attention when they were proposed as a model for quasicrystals. The use of golden triangles to obtain tile patterns stems from the work of R.M. Robinson cited in [2, p540] and extends the investigations of [3]. The method employed in obtaining the patterns is experimental mathematics; geometrically defined experiments are performed using a computer and the results examined for their properties.

Type
Research Article
Information
The Mathematical Gazette , Volume 78 , Issue 482 , July 1994 , pp. 130 - 148
Copyright
Copyright © The Mathematical Association 1994

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References

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