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Philosophical Magazine Volume 87, 2007 - Issue 18-21: Proceedings of Aperiodic, 2006
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Original Articles

The local controlled growth of a perfect Cartwheel-type tiling called the quasiperiodic succession

U. Gaenshirta Sculptor and Researcher, , Wartburgstrasse 2, D-90491 Nuernberg, Germany
&
M. Willschb Physicist, , Siemens AG, Germany
Pages 3055-3065 | Received 06 Sep 2006, Accepted 15 Feb 2007, Published online: 02 Dec 2010
 
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Abstract

Modelling of the growth of a decagonal Cartwheel-type tiling is not described well enough by the well known matching rules of Penrose tiles. This paper presents a deterministic algorithm which allows the calculation of a perfect Cartwheel-type tiling by the successive transfer of recursive values out of each cluster cell, Q, to its neighbour cells.

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