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Original Articles

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

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Pages 3055-3065 | Received 06 Sep 2006, Accepted 15 Feb 2007, Published online: 02 Dec 2010
 

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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